Computational Science and Engineering - Springer · Computational Science and Engineering 3 springer.com Scientific Computing with MATLAB and Octave A. Quarteroni, Ecole Polytechnique

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Monographs in Computational Science and EngineeringSeries Editors: T. Barth, M. Griebel, D. Keyes, R. Niemien, D. Roose, T. Schlick

This series contains monographs with a long life-time covering topics described by the term “compu-tational science and engineering”. This includes theoretical aspects of scientific computing such as

mathematical modeling, optimization methods, discretization techniques, multiscale approaches, fast solution algorithms, parallelization, and visual-ization methods as well as the application of these approaches throughout the disciplines of biology, chemistry, physics, engineering, earth sciences, and economics.

Computing the Electrical Activity in the HeartJ. Sundnes, G. T. Lines, X. Cai, B. F. Nielsen, K. Mardal, A. Tveito, Simula Research Laboratory, Lysaker, Norway

This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results

presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathematicians.

2006. XII, 312 p. (Monographs in Computational Science and Engineering, Volume 1) HardcoverISBN 978-3-540-33432-3 7 € 69,95 | £54.00

Texts in Computational Science and EngineeringNumerical Simulation in Molecular DynamicsNumerics, Algorithms, Parallelization, Applications

M. Griebel, University of Bonn, Germany; S. Knapek, TWS Partners, Munich, Germany; G. Zumbusch, Univer-sity of Jena, GermanyTranslated by Bernhard Hientzsch, New York, USA

Particle models play an important role in many applications in physics, chemistry and biology. They can be studied on the computer with the help of molecular dynamics simulations. This book presents in detail both the necessary numerical methods and techniques (linked-cell method, SPME-method, tree codes, multipol technique) and the theoretical back-ground and foundations. It illustrates the aspects modelling, discretization, algorithms and their

parallel implementation with MPI on computer systems with distributed memony. Furthermore, detailed explanations were given to the different steps of numerical simulation and code examples are provided. With the description of the algorithms and the presentation of the results of various simula-tions from the areas material science, nanotech-nology, biochemistry and astrophysics, the reader of this book will be able to write his own programms for molecular dynamics step by step and to run successful experiments.

2007. Approx. 500 p. (Texts in Computational Science and Engineering, Volume 5) HardcoverISBN 978-3-540-68094-9 7 approx. € 39,95 | £38.50

NEWSERIES

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Design Patterns for e-ScienceH. Gardner, Australian National University, Canberra, NSW, Australia; G. Manduchi, Consorzio RFX, Padova, Italy

This book is centered around a case study in soft-ware development in “e-Science’’ using the Java™ programming language. A graphical front-end for browsing and visualising scientific waveform data is progressively refactored using important design patterns for object-oriented software. The final

product is ready for porting onto the Grid. Object-oriented design patterns are taught in a real-world context which is relevant to computational science. A comprehensive CD of the case study accompanies the book.

2007. XX, 388 p. 60 illus.,with CD-ROM. Also available online. (Texts in Computational Science and Engineering, Volume 4) HardcoverISBN 978-3-540-68088-8 7 € 49,95 | £38.50

Python Scripting for Computational ScienceH. P. Langtangen, Simula Research Laboratory, Lysaker, and University of Oslo, Norway

The goal of this book is to teach computational scientists how to develop tailored, flexible, and human-efficient working environments built from small programs (scripts) written in the easy-to-learn, high-level language Python. The focus is on examples and applications of relevance to compu-tational scientists: gluing existing applications and tools, e.g. for automating simulation, data analysis, and visualization; steering simulations and compu-tational experiments; equipping old programs with

graphical user interfaces; making computational Web applications; and creating interactive inter-faces with a Maple/Matlab-like syntax to numerical applications in C/C++ or Fortran. All the tools and examples in this book are open source codes. The second edition features new material, reorganiza-tion of text, improved examples and tools, updated information, and correction of errors.

2nd ed. 2006. XXIV, 736 p. 62 illus. (Texts in Computa-tional Science and Engineering, Volume 3) HardcoverISBN 978-3-540-29415-3 7 € 49,95 | £38.50

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Research Starts Here.SpringerLink offers you Springer Alert – an alerts control panel to receive notification of new publications in any subject via email. Sign up for 7 Table of Contents Alerts 7 Keyword Alerts 7 Serials Updates 7 Springer News reviews 7 Library Zone Newsletter Show you know where to get the most current scientific content. Sign up today for SpringerAlert.

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Scientific Computing with MATLAB and OctaveA. Quarteroni, Ecole Polytechnique Fédérale de Laus-anne, Switzerland; F. Saleri, MOX-Politecnico di Milano, Italy

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approxi-mate functions by polynomials and construct accu-rate approximations for the solution of ordinary and partial differential equations. To make the presen-tation concrete and appealing, the programming environments Matlab and Octave, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as more numerical methods for linear and nonlinear systems and ordinary and partial differential equations. This book is presently

being translated or has appeared in the following languages: Italian, German, French, Chinese and Spanish.

From the reviews of the 1st edition 7“ ... Scientific Computing with MATLAB is written in a clear and concise style, figures, tables and formula boxes complement the explanations... The whole book is an invitation, if not a request, of the authors to the reader to play with MATLAB, apply its powerful menagerie of functions to solve the given (or own) problems - in brief, supervised learning by doing .... is a stimulating introductory textbook about numerical methods that successfully combines mathematical theory with programming experience...” 7 Journal of Molecular Modeling

“... An excellent addition to academic libraries and university bookstores, this book will be useful for self-study and as a complement to other MATLAB-based books. Highly recommended. Upper-division undergraduates through professionals.” 7 Choice

2nd ed. 2006. XVI, 318 p. 108 illus. (Texts in Computa-tional Science and Engineering, Volume 2) HardcoverISBN 978-3-540-32612-0 7 € 39,95 | £30.50

Computational Partial Differential EquationsNumerical Methods and Diffpack Programming

H. P. Langtangen, Simula Research Laboratory, Lysaker, and Dept. of Informatics, University of Oslo, Norway

From the reviews 7 “[P]rovides an excellent advanced tutorial and users manual for DIFFPACK, while also providing a wealth of first hand computational experience presented by an excellent computational scientist.” 7 The Australian Mathematical Society

“This large monograph … is devoted to an updated presentation of the most important numerical techniques for solving partial differential equations

using the software Diffpack Programming. … Many figures and tables make explanation much easier, in addition a collection of examples are discussed with many details. … In addition a complete bibliography and full index is added. In conclusion this book will be certainly very helpful to everybody involving in numerical simulations and having Diffpack software.” 7 Physicalia

2nd ed. 2003. XXVI, 855 p. (Texts in Computational Science and Engineering, Volume 1) HardcoverISBN 978-3-540-43416-0 7 € 59,95 | £46.00

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Lecture Notes in Computational Science and EngineeringMeshfree Methods for Partial Differential Equations IIIM. Griebel, M. A. Schweitzer, Universität Bonn, Germany (Eds.)

Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. Their flexiblity and wide applicability are attracting engineers, scientists, and mathematicians to this very dynamic research area. This volume represents

the state of the art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering.

2007. VIII, 306 p. 137 illus. (Lecture Notes in Computa-tional Science and Engineering, Volume 57) SoftcoverISBN 978-3-540-46214-9 7 € 69,95 | £54.00

Complex Effects in Large Eddy SimulationsS. C. Kassinos, C. A. Langer, University of Cyprus, Cyprus; G. Iaccarino, P. Moin, Stanford University, Stanford, CA, USA (Eds.)

The field of Large Eddy Simulations is reaching a level of maturity that brings this approach to the mainstream of engineering computations, while it opens new opportunities and brings new challenges for further progress. The main objective of this volume is to bring together leading experts from

different countries in presenting the state-of-the-art and emerging approaches for treating complex effects in LES. A common theme throughout the volume is the role of LES in the context of multiscale modeling and simulation.

2007. XI, 439 p. 51 color plates. (Lecture Notes in Compu-tational Science and Engineering, Volume 56) SoftcoverISBN 978-3-540-34233-5 7 € 79,95 | £6�.50

Domain Decomposition Methods in Science and Engineering XVIO. B. Widlund, New York University, New York, NY, USA; D. E. Keyes, Columbia University, New York, NY, USA (Eds.)

Domain decomposition is an active, interdisci-plinary research area concerned with the develop-ment, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. Since the advent of hierarchical distrib-uted memory computers, it has been motivated by considerations of concurrency and locality in a wide

variety of large-scale problems, continuous and discrete. Historically, it emerged from the analysis of partial differential equations, beginning with the work of Schwarz in 1870. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

2007. XXI, 778 p. 222 illus. (Lecture Notes in Computa-tional Science and Engineering, Volume 55) SoftcoverISBN 978-3-540-34468-1 7 € 99,95 | £77.00


Adaptive Atmospheric ModelingKey Techniques in Grid Generation, Data Structures, and Numerical Operations with Applications

J. Behrens, Alfred Wegener Institute for Polar and Marine Research, Bremerhaven, Germany

This book gives an overview and guidance in the development of adaptive techniques for atmo-spheric modeling. Written in an educational style and featuring an exhaustive list of references, it is a starting point for everyone who is interested in adaptive modeling, not restricted to atmospheric sciences. It covers paradigms of adaptive tech-niques, such as error estimation and adaptation criteria. Mesh generation methods are presented for triangular/tetrahedral and quadrilateral/hexahedral

meshes, with a special section on initial meshes for the sphere. Efficiency issues are discussed including techniques for accelerating unstructured mesh computations as well as parallelization. Consid-ering applications, the book demonstrates several techniques for discretizing relevant conservation laws from atmospheric modeling. Finite volume, discontinuous Galerkin and conservative Semi-Lagrangian methods are introduced and applied in simplified real life simulations. It is the author’s intention to motivate the reader to become involved with adaptive modeling techniques.

2006. XIX, 214 p. (Lecture Notes in Computational Science and Engineering, Volume 54) SoftcoverISBN 978-3-540-33382-1 7 € 59,95 | £46.00

Fluid-Structure InteractionModelling, Simulation, Optimisation

H. Bungartz, Technische Universität München, Germany; M. Schäfer, Technische Universität Darmstadt, Germany (Eds.)

Fluid-structure interactions (FSI), that is interac-tions of some movable or deformable structure with an internal or surrounding fluid flow, are among the most important and, with respect to both model-ling and computational issues, the most challenging multi-physics problems. The variety of FSI occur-rences is abundant and ranges from tent-roofs to micropumps, from parachutes via airbags to blood

flow in arteries. This volume of LNCSE contains a collection of papers presented at the International Workshop on FSI held in October 2005 in Hohen-wart and organized by DFG’s Research Unit 493 “FSI: Modelling, Simulation, and Optimization”. The papers address partitioned and monolithic coupling approaches, methodical issues and applications, and discuss FSI from the mathematical, informatical, and engineering point of view.

2006. VIII, 394 p. 251 illus. (Lecture Notes in Computa-tional Science and Engineering, Volume 53) SoftcoverISBN 978-3-540-34595-4 7 € 79,95 | £6�.50

Parallel Algorithms and Cluster ComputingImplementations, Algorithms and Applications

K. H. Hoffmann, A. Meyer, Chemnitz University of Tech-nology, Germany (Eds.)

This book presents major advances in high performance computing as well as major advances due to high performance computing. It contains a collection of papers in which results achieved in the collaboration of scientists from computer science, mathematics, physics, and mechanical engineering are presented. From the science problems to the mathematical algorithms and on to the effective

implementation of these algorithms on massively parallel and cluster computers we present state-of-the-art methods and technology as well as exem-plary results in these fields. This book shows that problems which seem superficially distinct become intimately connected on a computational level.

2006. X, 362 p. (Lecture Notes in Computational Science and Engineering, Volume 52) SoftcoverISBN 978-3-540-33539-9 7 € 79,95 | £6�.50


Geometry and ComputingAnnouncement and Call for Papers

Series Editors: Herbert Edelsbrunner , Leif Kobbelt , and Konrad Polthier

Complementing Springer’s publication activities in the Lecture Notes series and journals, Geometry and Computing is devoted to the publication of high profile books, such as advanced textbooks, focused monographs, and consolidated state-of-the-art research surveys; also welcome are edited collections on emergent topics, that are coherently integrated and presented in a competent and well-balanced way.

Scope: This book series is devoted to new developments in Geometry and Computation and its Applications. It provides a scientific resource library for education, research, and industry. The series constitutes a plat-form for publication of latest research in Mathematics and Computer Science on topics in this field.

The topics covered by Geometry and Computing include geometric aspects in 7 Discrete geometry 7 Computational geometry 7 Differential geometry 7 Discrete differential geometry 7 Computer graphics 7 Geometry processing 7 CAD/CAM 7 Computer aided geometric design 7 Geometric topology 7 Computational topology 7 Statistical shape analysis 7 Structural molecular biology 7 Shape optimization 7 Geometric data structures 7 Geometric probability 7 Geometric constraint solving 7 Algebraic geometry 7 Graph theory 7 Physics based modelling 7 Kinematics 7 Symbolic computation 7 Approximation theory 7 Scientific computing 7 Computer vision

The audience of Geometry and Computing comprises researchers, advanced students and professionals in mathematics, computer science, engineering and computational sciences.

NEWSERIES


Wireless CommunicationsP. Agrawal, Auburn University, Auburn, AL, USA; D. M. Andrews, Lucent Technologies, Murray Hill, NJ, USA; P. J. Fleming, Motorola, Inc., Arlington Heights, IL, USA; G. Yin, Wayne State University, Detroit, MI, USA; L. Zhang, Lucent Technologies, Murray Hill, NJ, USA (Eds.)

This volume contains papers based on invited talks given at the 2005 IMA SummerWorkshop on Wire-less Communications, held at the Institute for Math-ematics and Its Applications, University of Minne-sota, June 22 - July 1, 2005. The workshop provided a great opportunity to facilitate the communications between academia and the industry, and to bridge the mathematical sciences, engineering, informa-tion theory, and communication communities. The emphases were on design and analysis of computa-

tionally efficient algorithms to better understand the behavior and to control the wireless telecommunica-tion networks. As an achieve, this volume presents some of the highlights of the workshop, and collects papers covering a broad spectrum of important and pressing issues in wireless communications. All papers have been reviewed. One of the book’s distinct features is highly multi-disciplinary. This book is useful for researchers and advanced grad-uate students working in communication networks, information theory, signal processing, and applied probability and stochastic processes, among others.

2007. X, 361 p. (The IMA Volumes in Mathematics and its Applications, Volume 143) HardcoverISBN 978-0-387-37269-3 7 € 69,95 | £54.00

Numerical Linear AlgebraG. Allaire, École Polytechnique Palaiseau, France; S. M. Kaber, Université Pierre et Marie Curie, Lab. Jacques-Louis Lions, France

This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters along with examples and exercises with Matlab. In

recent years, the use of computers in many areas of engineering and science has made it essential for students to get training in numerical methods and computer programming.

2007. Approx. 400 p. HardcoverISBN 978-0-387-34159-0 7 € 49,95 | £38.50

Scientific Computing in Electrical EngineeringA. Anile, Università di Catania, Italia; G. Alì, CNR, Napoli, Italia; G. Mascali, Università della Calabria, Rende, Italia (Eds.)

This book is a collection of papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Capo d’Orlando, Sicily, in 2004. The series of SCEE conferences aims at addressing mathematical problems which have a relevancy to industry. The areas covered at SCEE-2004 were: Electromagnetism, Circuit Simulation,

Coupled Problems and General mathematical and computational methods. This book is particularly important for Engineers, Physicists and Mathemati-cians who want to know the state of the art with respect to scientific challenges arising from prob-lems of interest for industry.

2006. XX, 460 p. 253 illus., 86 in color. (Mathematics in Industry / The European Consortium for Mathematics in Industry, Volume 9) HardcoverISBN 978-3-540-32861-2 7 € 99,95 | £77.00


Stochastic SimulationAlgorithms and Analysis

S. Asmussen, University of Aarhus, Denmark; P. W. Glynn, Stanford University, Stanford, CA, USA

Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enor-mous number of different applied domains and academic disciplines. This book provides a broad treatment of such sampling-based methods, as well as accompanying mathematical analysis of the convergence properties of the methods discussed.

The reach of the ideas is illustrated by discussing a wide range of applications and the models that have found wide usage. Given the wide range examples, exercises and applications students, practitioners and researchers in probability, statistics, operations research, economics, finance, engineering as well as biology and chemistry and physics will find the book of value.

2007. Approx. 300 p. 44 illus. (Stochastic Modelling and Applied Probability, Volume 57) HardcoverISBN 978-0-387-30679-7 7 € 49,95 | £38.50

IUTAM Symposium on Computational Approaches to Multiphase FlowProceedings of an IUTAM Symposium held at Argonne National Laboratory, October 4-7, 2004

S. Balachandar, University of Florida, Gainesville, USA; A. Prosperetti, The Johns Hopkins University, Baltimore, MD, USA (Eds.)

The book provides a broad overview of the full spec-trum of state-of-the-art computational activities in multiphase flow as presented by top practitioners in the field. Starting with well-established approaches (point-particle models, volume-of-fluid, level set, and front capturing for free-surface flows) it builds up to newer methods for large-eddy simulations,

extended particles in Navier-Stokes flows, the lattice-Boltzmann method, molecular dynamics techniques and compressible flows with shock waves. These methods are illustrated with applica-tions to a broad spectrum of problems involving particle dispersion and deposition, turbulence modulation, environmental flows, fluidized beds, bubbly flows, and many others.

2006. X, 446 p. (Fluid Mechanics and Its Applications, Volume 81) HardcoverISBN 978-1-4020-4976-7 7 € �34,95 | £�04.00

Numerical Mathematics and Advanced ApplicationsProceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005

A. Bermúdez de Castro, D. Gómez, P. Quintela, Univer-sidade de Santiago de Compostela, Spain; P. Salgado, Escola Politécnica Superior, Lugo, Spain (Eds.)

The European Conference on Numerical Math-ematics and Advanced Applications (ENUMATH) is a series of meetings held every two years to provide a forum for discussion on recent aspects of numerical mathematics and their applications.

These proceedings collect the major part of the lectures given at ENUMATH 2005, held in Santiago de Compostela, Spain, from July 18 to 22, 2005. Topics include applications such as fluid dynamics, electromagnetism, structural mechanics, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, etc.

2006. XIX, 1232 p. HardcoverISBN 978-3-540-34287-8 7 € 89,95 | £69.00


Mathematics of Large Eddy Simulation of Turbulent FlowsL. Berselli, University of Pisa, Italy; T. Iliescu, State University, Blacksburg, VA, USA; W. Layton, University of Pittsburgh, PA, USA

This book focuses on the mathematical foundations of Large eddy simulation (LES) and its models and provides a connection between the powerful tools of applied mathematics, partial differential equations and LES. Thus, it is concerned with fundamental aspects not treated so deeply in the other books in the field, aspects such as well-posedness of the models, their energy balance and the connection to the Leray theory of weak solutions of the Navier-Stokes equations. The authors give a mathematically informed and detailed treatment of an interesting selection of models, focusing on issues connected with understanding and expanding the correctness and universality of LES.

This volume offers a useful entry point into the field for PhD students in applied mathematics, compu-tational mathematics and partial differential equa-tions. Non-mathematicians will appreciate it as a reference that introduces them to current tools and advances in the mathematical theory of LES.

From the reviews 7 “This comprehensive book is the only one of its kind devoted entirely to the math-ematical foundations of LES and its models. It collects together some of the fundamental ideas and results scattered throughout the LES literature and embeds them in a homogeneous and rigorous mathematical framework. … it is well documented and referenced. …” 7 Mathematical Reviews

2006. XVII, 348 p. (Scientific Computation) HardcoverISBN 978-3-540-26316-6 7 € 69,95 | £54.00

Least-SquaresFinite Element Methods

P. B. Bochev, Sandia National Laboratories, Albuquerque, NM, USA; M. D. Gunzburger, Florida State University, Tallahassee, FL, USA

Since their emergence finite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of PDEs. Today finite element methods are in common use for incompressible fluid flow, heat, transfer, electromagnetics, and convection-diffu-sion-reaction problems, to name a few. This book is written with the premise that there is a real, existing

need to put least-squares finite elemenet methods on a common mathematically sound foundation. It is intended to give both the researcher and the practitioner a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems. Appendices provide results from functional analysis and standard finite theory which are used in various places in the book.

2007. Approx. 285 p. HardcoverISBN 978-0-387-30888-3 7 approx. € 54,95 | £4�.50

Tensor Calculus for EngineersAnalytical and Computational Aspects

R. d. Boer, J. Schroeder, University of Essen, Germany

This textbook introduces to the vector and tensor calculus as it is used in continuum mechanics. Therefore, it limits itself to the 3-dimensional Euclidian space. It contains, in addition, an intro-duction to continuum mechanics and linear shell theory. The theoretical concepts of small and finite strain elasticity, its numerical formulation and essential implementation aspects are presented in detail. After setting the variational framework of boundary value problems, several Finite Element

representations are discussed. The formulation of isotropic and anisotropic elasticity is performed within a basis-independent formalism. As far as possible illustrative approaches are chosen although some of the concepts require axiomatic introduc-tion. All chapters widely consist of examples and exercises. This book is written mainly for students in civil and mechanical engineering and bridges the gap between mathematics and its engineering application.

2008. Approx. 450 p. SoftcoverISBN 978-3-540-24224-6 7 approx. € 79,95 | £6�.50

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Elements of Numerical RelativityFrom Einstein`s Equations to Black Hole Simulations

C. Bona, Universitat de les Illes Balears, Palma de Mallorca, Spain; C. Palenzuela-Luque, Louisiana State Universtity, Baton Rouge, LA, USA

From the reviews of the first edition 7 “The present book is also interesting for and worth being read by researchers who are not at all interested in numerical

relativity in the strict sense. … Several figures illus-trate the numerical solutions found. References and index close this carefully presented and useful book.” 7 Zentralblatt MATH

2005. XII, 151 p. Also available online. (Lecture Notes in Physics, Volume 673) HardcoverISBN 978-3-540-25779-0 7 € 49,95 | £38.50

Mathematical Modeling, Analysis and Simulation of ProblemsL. L. Bonilla, University of Madrid, Spain (Ed.)

ECMI is synonymous with European Mathematics for Industry and organizes successful biannual conferences. The 14th European Conference for Mathematics in Industry held in Leganés (Madrid) focused on Aerospace, Information and Commu-nications, Materials, Energy and Environment, Imaging, Biology and Biotechnology, Life Sciences, Finances and other topics including Education in Industrial Mathematics and web learning. Attendees came from all over the world. Overall, these proceedings give a lively overview of the importance of mathematical modeling, analysis and numerical methods when addressing and solving problems from today’s real world applications. The accessible presentation of real problems from

industry and finance, modeling, solutions via appro-priate numerical and mathematical techniques are a source of fresh ideas and inspiration for mathemati-cians. Engineers and scientists in application fields may find useful ideas and techniques presented in familiar contexts that may help them to solve related problems in industry. Educators may find discussions of novel teaching experiences and examples from industrial contexts that could be useful devising curricula which include industrial mathematics and web learning.

2007. Approx. 950 p. (Mathematics in Industry / The European Consortium for Mathematics in Industry, Volume 12) HardcoverISBN 978-3-540-71991-5 7 approx. € 89,95 | £69.00

Modeling and Simulation in Scilab/ScicosS. Campbell, North Carolina State University, NC, USA; J. Chancelier, CERMICS ENPC, France; R. Nikoukhah, INRIA, France

Scilab is a free open-source software package for scientific computation. It includes hundreds of general purpose and specialized functions for numerical computation, organized in libraries called toolboxes, which cover such areas as simula-tion, optimization, systems and control, and signal processing. One important Scilab toolbox is Scicos. Scicos provides a block diagram graphical editor for the construction and simulation of dynamical systems. The objective of this book is to provide a tutorial for the use of Scilab/Scicos with a special emphasis on modeling and simulation tools. While it will provide useful information to experienced users it is designed to be accessible to beginning users from a variety of disciplines. Students and academic and industrial scientists and engineers should find it useful.

The book is divided into two parts. The first part concerns Scilab and includes a tutorial covering the language features, the data structures and special-ized functions for doing graphics, importing, exporting data and interfacing external routines. It also covers in detail Scilab numerical solvers for ordinary differential equations and differential-alge-braic equations. Even though the emphasis is placed on modeling and simulation applications, this part provides a global view of Scilab. The second part is dedicated to modeling and simulation of dynamical systems in Scicos. This type of modeling tool is widely used in industry because it provides a means for constructing modular and reusable models. This part contains a detailed description of the editor and its usage, which is illustrated through numerous examples. All codes used in the book is made avail-able to the reader.

2006. XI, 313 p. HardcoverISBN 978-0-387-27802-5 7 € 39,95 | £30.50

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Spectral MethodsFundamentals in Single Domains

C. Canuto, Politecnico di Torino, Italy; M. Hussaini, Florida State University, Tallahassee, FL, USA; A. Quar-teroni, EPFL, Lausanne, Switzerland and Politecnico di Milano, Italy; T. Zang, NASA Langley Research Center, Hampton, VA, USA

Since the publication of Spectral Methods in Fluid Dynamics 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integra-tion between the theoretical and practical aspects of spectral methods, and the chapters are enhanced

with material on the Galerkin with numerical integration version of spectral methods. The discus-sion of direct and iterative solution methods is also greatly expanded.

From the Reviews 7 “[F]urnishes a comprehensive discussion of the mathematical theory of spectral methods in single domains … . All chapters are enhanced with material on Galerkin method … . The discussion of direct and iterative solution methods is endowed with numerical examples that illustrate the key properties of various spectral approximations and solution algorithms.” 7 Zentralblatt MATH

2006. XXII, 563 p. 106 illus. (Scientific Computation) HardcoverISBN 978-3-540-30725-9 7 € 79,95 | £6�.50

Spectral MethodsEvolution to Complex Geometries and Applications to Fluid Dynamics

C. G. Canuto, Politecnico di Torino, Italy; M. Y. Hussaini, Florida State University, Tallahassee, FL, USA; A. M. Quar-teroni, EPFL, Lausanne, Switzerland and Politecnico di Milano, Italy; T. A. Zang, NASA Langley Research Center, Hampton, VA, USA

Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spec-tral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid

dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic direc-tions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting.

This book is a companion to Spectral Methods: Fundamentals in Single Domains.

2007. Approx. 630 p. 183 illus. (Scientific Computation) HardcoverISBN 978-3-540-30727-3 7 € 79,95 | £6�.50

Free Energy CalculationsTheory and Applications in Chemistry and Biology

C. Chipot, Université Henri Poincaré, Vandoeuvre-lès-Nancy, France; A. Pohorille, University of California San Francisco, CA, USA (Eds.)

This volume sets out to present a coherent account of the concepts that underlie different approaches devised for the determination of free energies. The reader will gain the necessary insight into the theoretical and computational foundations of the

subject and will be presented with relevant applica-tions from molecular-level modelling and simula-tions of chemical and biological systems. The book is aimed at a broad readership of graduate students and researchers having a background in chemistry, physics, engineering and physical biology.

2007. XVIII, 517 p. 85 illus., 11 in color. (Springer Series in Chemical Physics, Volume 86) HardcoverISBN 978-3-540-38447-2 7 € �49,95 | £��5.50

springer.com Computational Science and Engineering��

Scientific Computing in Electrical EngineeringG. Ciuprina, D. Ioan, Politehnica University of Bucharest, Romania (Eds.)

This book is a collection of selected papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sinaia, Romania, in 2006. The series of SCEE conferences aims at addressing mathematical problems which have a relevance to industry, with an emphasis on modeling and numerical simulation of electronic circuits, electromagnetic fields but also

coupled problems and general mathematical and computational methods. This book is particularly important for engineers, physicists and mathemati-cians who want to know the state of the art with respect to scientific challenges arising from prob-lems of interest for industry.

2007. XXII, 486 p. With colour appendix. (Mathematics in Industry / The European Consortium for Mathematics in Industry, Volume 11) HardcoverISBN 978-3-540-71979-3 7 € 89,95 | £69.00

Asymptotic Analysis and Boundary LayersJ. Cousteix, ONERA Centre de Toulouse, France; J. Mauss, Université Paul Sabatier, Toulouse, France

This book presents a new method of asymptotic analysis of boundary-layer problems, the Succes-sive Complementary Expansion Method (SCEM). The first part is devoted to a general comprehensive presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows. The advantages of SCEM are discussed in comparison with the stan-

dard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified. With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained. It is written on a mathematical level accessible to graduate and post-graduate students of engi-neering and physics with a good knowledge in fluid mechanics.

2007. XVII, 432 p. 85 illus. (Scientific Computation) HardcoverISBN 978-3-540-46488-4 7 € 99,95 | £77.00

An Introduction to Scientific ComputingTwelve Computational Projects Solved with MATLAB

I. Danaila, P. Joly, S. M. Kaber, M. Postel, Université Pierre et Marie Curie, Paris, France

This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exer-cises and guides the reader in using the MATLAB scripts. The mathematical framework provides a basic foundation in the subject of numerical analysis

of partial differential equations and main discreti-zation techniques, such as finite differences, finite elements, spectral methods and wavelets). The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers.

From the reviews 7 “In An Introduction to Scientific Computing, the authors present approaches to the numerical solution of problems drawn from a variety of applications. … This is a graduate-level introduc-tion and the pace is brisk. … This is a strong text on scientific computing for advanced students in applied mathematics. … the book is most appropriate for students with some prior experience in scientific computing … .” 7 MathDL

2007. XV, 294 p. HardcoverISBN 978-0-387-30889-0 7 € 46,95 | £36.00

springer.comspringer.comComputational Science and Engineering �3

Newton Methods for Nonlinear ProblemsAffine Invariance and Adaptive Algorithms

P. Deuflhard, Zuse Institute Berlin (ZIB), Berlin, Germany

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term ‘affine invariance’ means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved.

Compared to traditional textbooks, the distin-guishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illus-trations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.

1st ed. 2004. Corr. 2nd printing 2006. XII, 424 p. 48 illus. (Springer Series in Computational Mathematics, Volume 35) HardcoverISBN 978-3-540-21099-3 7 € 79,95 | £6�.50

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Numerical Techniques for Chemical and Biological Engineers Using MATLAB®A Simple Bifurcation Approach

S. Elnashaie, Pennsylvania State University at Harrisburg, Middletown, PA, USA; F. Uhlig, University of Auburn, AL, USAAssisted by: C. Affane

This is a textbook for undergraduate students of chemical and biologicalengineering. It is also useful for graduate students and professional engineers and numerical analysts. All reactive chemical and biological processes are highly nonlinear allowing for multiple steady states. This book addresses the bifurcation characteristics of chemical and biological processes as the general case and treats systems with a unique steady state as special cases. It uses a system approach which is the most efficient for knowledge organization and transfer. The book develops mathematical models for many commer-cial processes utilizing the mass-, momentum-, and heat-balance equations coupled to the rates of the processes that take place within the boundaries of the system. The models are solved numeri-cally through MATLAB codes with emphasis on

the design and optimization of the chemical and biological industrial equipment and plants, such as single and batteries of CSTRs, porous and nonpo-rous catalyst pellets and their effectiveness factors, tubular catalytic and noncatalytic reactors, fluidized bed catalytic reactors, coupled fluidized beds such as reactor-regenerator systems (industrial fluid catalytic cracking units),fluidized bed reformers for producing hydrogen or syngas, fermenters for fuel ethanol, simulation of the brain acetylcholine neurocycle, anaerobic digesters,co- and countercur-rent absorption columns, and many more. The book also includes verification against industrial data. The book’s CD contains nearly 100 MATLAB programs which are meant to teach the readers how to solve a variety of important chemical and biological engi-neering problems. The algorithms include solving transcendental and algebraic equations, with and without bifurcation; as well as initial and boundary value ordinary differential equations.

2007. XVI, 590 p. With CD-ROM. HardcoverISBN 978-0-387-34433-1 7 € 69,95 | £54.00

ICIAM Maxwell Prize 2007 to Peter Deuflhard


Computer Algebra RecipesAn Advanced Guide to Scientific Modeling

R. H. Enns, Simon Fraser University, Burnaby, BC, Canada; G. C. McGuire, University College of the Fraser Valley, Abbotsford, BC, Canada

Modern computer algebra systems are revolution-izing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays. This self-contained text benefits from a spiral structure that regularly revisits the general topics of graphics, symbolic computation, and numerical simulation with increasing intricacy at each turn. The text is built around a large number of computer algebra worksheets or “recipes” that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is assumed. All relevant

commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe is associated with a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention. All recipes are included on the CD-ROM enclosed with the book. Aimed at third- and fourth-year undergradu-ates in science and engineering, the text contains numerous examples in disciplines that will challenge students progressing in mathematics, physics, engineering, game theory, and physical chemistry. Computer Algebra Recipes: An Advanced Guide to Mathematical Modeling can serve as an effective computational science text, with a set of problems following each section of recipes to enable readers to apply and confirm their understanding. The book may also be used as a reference, for self-study, or as the basis of an on-line course.

2007. X, 374 p. With CD-ROM. SoftcoverISBN 978-0-387-25768-6 7 € 46,95 | £36.00

Computer Simulations in Condensed Matter: From Materials to Chemical Biology Volume �M. Ferrario, Università di Modena e Reggio Emilia, Modena, Italy; G. Ciccotti, Università di Roma La Sapienza, Roma, Italy; K. Binder, University of Mainz, Germany (Eds.)

This extensive and comprehensive collection of lectures by world-leading experts in the field intro-duces and reviews all relevant computer simulation methods and their applications in condensed matter systems. Volume 1 is an in-depth introduction

to a vast spectrum of computational techniques for statistical mechanical systems of condensed matter. It will enable the graduate student and both the specialist and nonspecialist researcher to get acquainted with the tools necessary to carry out numerical simulations at an advanced level.

2006. XVI, 711 p. Also available online. (Lecture Notes in Physics, Volume 703) HardcoverISBN 978-3-540-35270-9 7 € 79,95 | £6�.50

Computer Simulations in Condensed Matter: From Materials to Chemical Biology Volume �M. Ferrario, Università di Modena e Reggio Emilia, Modena, Italy; G. Ciccotti, Università di Roma La Sapienza, Roma, Italy; K. Binder, University of Mainz, Germany (Eds.)

Volume 2 is a state-of-the-art survey on numerical experiments carried out for a great number of systems, ranging from materials sciences to

chemical biology, such as supercooled liquids, spin glasses, colloids, polymers, liquid crystals, biological membranes and folding proteins.

2006. XVI, 598 p. (Lecture Notes in Physics, Volume 704) HardcoverISBN 978-3-540-35283-9 7 € 79,95 | £6�.50


Shape Analysis and StructuringL. De Floriani, M. Spagnuolo, Università degli Studi di Genova, Italy (Eds.)

Several techniques have been developed in the literature for processing different aspects of the geometry of shapes, for representing and manipu-lating a shape at different levels of detail, and for describing a shape at a structural level as a concise, part-based, or iconic model. Such techniques are used in many different contexts, such as industrial design, biomedical applications, entertainment,

environmental monitoring, or cultural heritage. This book covers a variety of topics related to preserving and enhancing shape information at a geometric level, and to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relationships.

2007. Approx. 330 p. (Mathematics and Visualization) HardcoverISBN 978-3-540-33264-0 7 approx. € 79,95 | £6�.50

Spectral Finite Element MethodWave Propagation, Diagnostics and Control in Anisotropic and Inhomogenous Structures

S. Gopalakrishnan, D. Roy Mahapatra, Indian Institute of Science, Bangalore, India; A. Chakraborty, GM Tech Centre (India), Bangalore, India

The use of composites and functionally graded materials (FGMs) in structural applications has increased. FGMs allow the user to design materials for a specified functionality and have many uses in structural engineering. However, the behaviour of these structures under high-impact loading is not well understood. This book is the first to apply the Spectral Finite Element Method (SFEM) to inhomogeneous and anisotropic structures in a unified and systematic

manner. It focuses on some of the problems with this media which were previously thought unman-ageable. Types of SFEM for regular and damaged 1-D and 2-D waveguides, solution techniques, methods of detecting the presence of damages and their locations, and methods for controlling the wave propagation responses are discussed. Tables, figures and graphs support the theory and case studies are included. This book is of value to senior undergraduates and postgraduates studying in this field, and researchers and practicing engineers in structural integrity.

2007. Approx. 434 p. 274 illus. (Computational Fluid and Solid Mechanics) HardcoverISBN 978-1-84628-355-0 7 € �09,95 | £70.00

Foundations of Optimization in Finite DimensionsO. Guler, University of Maryland, Baltimore, MD, USA

This book is intended as a textbook to be used in a first graduate level course, and covers the funda-mental principals of optimization in finite dimen-sions. It develops the necessary background material in multivariable calculus using coordinates as well as in a coordinate-free manner, so that the recent developments such as semidefinite programming can be dealt with ease. All the standard topics of

mathematical programming, such as necessary and sufficient optimality conditions for optimality, convex analysis and duality, are covered in great detail, often from multiple points of view. A distinc-tive feature of this book is its set of worked-out examples and problems, including hundreds of well-chosen problems and important examples.

2006. Approx. 350 p. HardcoverISBN 978-0-387-34431-7 7 approx. € 46,95 | £36.00


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Topology-based Methods in VisualizationH. Hagen, TU Kaiserslautern, Germany; H. Hauser, H. Theisel (Eds.)

Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualizations accordingly. There are currently new demands for and renewed interest in topology-based visualization solutions. This book presents 13 peer-reviewed papers as written results from

the 2005 workshop “Topology-Based Methods in Visualization” that was initiated to enable additional stimulation in this field. It contains a longer chapter dedicated to a survey of the state-of-the-art, as well as a great deal of original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in topology-based visualization research.

2007. X, 222p. With colour appendix. (Mathematics and Visualization) HardcoverISBN 978-3-540-70822-3 7 approx. € 79,95 | £6�.50

Handbook of Mathematics and Computational ScienceJ. W. Harris, Yale University, New Haven, CT, USA; H. Stöcker, Johann-Wolfgang-Goethe Universität, Frank-furt, Germany

From the reviews 7 “It is the best text of its type that I have come across to date - an excellent resource for anyone involved in mathematical practice up to and including degree standard (...) it is a pleasant experience to flick through it at leisure, dropping in here and there on some of the thousands of results the

book holds. It is beautifully illustrated and set out (...) we have here a comprehensive volume whose worth will not readily fade with time (...) If you feel the need to own a mathematical reference to see you through school and university mathematics to graduation, you couldn’t do much better than to buy this one.” 7 MATHEMATICS TODAY

1998. XXVIII, 1028 p. 545 illus. HardcoverISBN 978-0-387-94746-4 7 € 3�,95 | £�5.50

Geometric Modelling, Numerical Simulation, and Optimization:Applied Mathematics at SINTEFG. Hasle, K. Lie, E. Quak, SINTEF, Oslo, Norway (Eds.)

This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest inde-pendent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil

recovery. The book also discusses local wind predic-tions to increase aviation safety, sustainable long-term forest treatment, and optimization of natural gas value chains. The contributions are written in a tutorial style to provide material for educational purposes, such as a course or seminar on industri-ally relevant mathematics.

2007. IX, 567 p. With many illus. in color. HardcoverISBN 978-3-540-68782-5 7 € 79,95 | £6�.50


Nodal Discontinuous Galerkin MethodsAlgorithms, Analysis, and Applications

J. S. Hesthaven, Brown University, Providence, RI, USA; T. Warburton, Rice University, Houston, TX, USA

The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. All key theoretical results are either derived or discussed, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, orthogonal polynomials etc. Through embedded Matlab codes, the algorithms are discussed and implemented for a number of classic systems of PDE’s, e.g., Maxwell’s

equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations. These developments are done in detail in 1 and 2 dimensions on general unstructured grids with high-order elements and all essential routines for 3D extensions are also included and discussed briefly. The three appendices contain an overview of orthogonal polynomials and associated library routines used throughout, a brief introduction to grid generation, and an overview of the associated software (where to get it, list of variables etc).

2008. Approx. 275 p. HardcoverISBN 978-0-387-72065-4 7

Computational Turbulent Incompressible FlowApplied Mathematics: Body and Soul 4

J. Hoffman, C. Johnson, Royal Institute of Technology - KTH, Stockholm, Sweden

This is Volume 4 of the book series of the Body and Soul mathematics education reform program, and presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3. The book puts the Body and Soul computa-tional finite element methodology in the form of General Galerkin (G2), up against the challenge of computing turbulent solutions of the inviscid Euler equations and the Navier-Stokes equations with

small viscosity. The book shows that direct application of G2 without any turbulence or wall modeling, allows reliable computation on a PC of mean value quanti-ties of turbulent flow such as drag and lift. The book demonstrates the power of G2 by resolving classical scientific paradoxes of fluid flow and uncovering secrets of flying, sailing, racing and ball sports. The book presents new aspects on both mathematics and computation of turbulent flow, and challenges established approaches.

2007. XIX, 397 p. HardcoverISBN 978-3-540-46531-7 7 € 59,95 | £38.50

Front Tracking for Hyperbolic Conservation LawsH. Holden, Norwegian University of Science and Tech-nology, Trondheim, Norway; N. H. Risebro, University of Oslo, Norway

From the Reviews 7 “It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style.” 7MathSciNet

“I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for

a one-semester graduate course.” 7 German Math-ematical Society

“Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conser-vation laws.” 7 Comp. Phys. Comm.

1st ed 2002. Corr. 2nd printing 2007. XI, 363 p. 40 illus. (Applied Mathematical Sciences, Volume 152) HardcoverISBN 978-3-540-43289-0 7 € 64,95 | £50.00


Introduction to Numerical Methods in Differential EquationsM. H. Holmes, Rensselaer Polytechnic Institute, Troy, NY, USA

This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equa-tions. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop

both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equa-tions, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas.

2007. XI, 238 p. (Texts in Applied Mathematics, Volume 52) HardcoverISBN 978-0-387-30891-3 7 € 39,95 | £�9.95

Mechanics of Biological TissueG. Holzapfel, Graz University of Technology, Austria; R. Ogden, University of Glasgow, UK (Eds.)

The mechanics of biological tissues is a multidis-ciplinary and rapidly expanding area of research. The book points to important directions combining mechanical sciences with the exciting new develop-ments in biology. It delivers state-of-the-art articles on: Mechanics of tissues at the molecular, cellular, tissue and organ levels. Mechanobiology, with particular reference to growth, remodeling, repair and aging.

Experimental, microstructural and continuum mechanical perspectives with an emphasis on modelling, and simulating therapeutic and diag-nostic procedures. Implementation of mechanical models in numerical codes to provide a tool for the design and develop-ment of prostheses. Numerical models have the potential to greatly improve diagnostics and thera-peutical procedures that involve tissue mechanics.

2006. XII, 522 p. 212 illus. HardcoverISBN 978-3-540-25194-1 7 € 99,95 | £77.00

Numerical Solution of Time-Dependent Advection-Diffusion-Reaction EquationsW. Hundsdorfer, J. G. Verwer, Center for Mathematics & Computer Science (CWI), Amsterdam, The Netherlands

From the Reviews 7 “The numerical solution of time-dependent advection-diffusion-reaction problems draws on different areas of numerical analysis … . We appreciate that the quite thorough, yet not pedantic, analytic part of the presentation is intimately inter-woven with numerical tests and examples which will enable the reader to judge on the relative merits of the various approaches and really aid him in devel-oping proper software for the problem at hand.” 7 Monatshefte für Mathematik

“Let me say at the outset that I highly recommend this book to practitioners … end-users, and those new to the field. One of its strengths is its in-depth presenta-tion of temporal and spatial discretizations and their interaction … . With each topic, key theoretical results are presented. … I found the present authors’ choice of problems to be one of the highlights of the book.” 7 SIAM Review

“Highly recommended.” 7 Mathematical Reviews

1st ed. 2003. Corr. 2nd printing 2007. X, 471 p. (Springer Series in Computational Mathematics, Volume 33) HardcoverISBN 978-3-540-03440-7 7 € 89,95 | £69.00


Characteristics Finite Element Methods in Computational Fluid DynamicsJ. Iannelli, City University, London, UK

This book details a systematic characteristics-based finite element procedure to investigate incompress-ible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretiza-tion with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations. Based on the mathematics and physics of multi-dimensional

characteristics, convection as well as acoustics, and inducing by design a controllable multi-dimensional upwind bias that can be locally optimized, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompress-ible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows with chemical reactions and work, heat and mass transfer.

2006. XXV, 727 p. 384 illus. (Computational Fluid and Solid Mechanics) HardcoverISBN 978-3-540-25181-1 7 € �49,95 | £��5.50

Reactive Flows, Diffusion and TransportFrom Experiments via Mathematical Modeling to Numerical Simulation and Optimization

W. Jäger, R. Rannacher, J. Warnatz, Universität Heidel-berg, Germany (Eds.)

The articles in this volume summarize the research results obtained in the former SFB 359 “Reactive Flow, Diffusion and Transport” which has been supported by the DFG over the period 1993-2004. The main subjects are physical-chemical processes sharing the difficulty of interacting diffusion, trans-port and reaction which cannot be considered sepa-

rately. Typical examples are the chemical processes in flow reactors and in the catalytic combustion at surfaces. Further examples are models of star forma-tion including diffusive mass transport, energy radiation and dust formation and the polluting transport in soil and waters. For these complex processes mathematical models are established and numerically simulated.

2007. X, 676 p. 293 illus., 200 in color. HardcoverISBN 978-3-540-28379-9 7 € 99,95 | £77.00

Accomplishment Starts Here. Discover the Top 5 most read articles on your favorite research journal right now. Read the latest article on any topic with Online First™ well before it’s in print. Stay ahead of your competitors with the most up-to-the-minute scientific content available online. Be a leader with SpringerLink.


Science Film Festival “Best Experimental Film” and Red Stick International Animation Festival “Best Scientific Visualization” to Konrad Polthier and Beau Janzen for MESH

MESHA Journey Through Discrete GeometryB. Janzen, Zipheron Design Labs, Culver City, CA, USA; K. Polthier, Freie Universität Berlin, Germany

MESH is a mathematical video on polyhedral meshes and their role in geometry, numerics and computer graphics. The film is completely computer-generated using the latest technology and spans the range from ancient Greek mathematics to the area of geometric modelling of today. MESH has already won several science awards worldwide. The authors are Konrad Polthier, a professor of mathematics, and Beau Janzen, a professional film director. The film is an excellent teaching tool for courses on geometry, visualization, scientific computing and geometric modelling at universities and centres for computational science, and can be used in schools.

From the reviews 7 “The mathematical film Mesh … has already won numerous international prizes. Mesh is a ground breaking 40-minute computer animation that explores the advancement of discrete geometry from the ancient Greeks to contemporary research topics. … With its synthesis of cutting-edge visualiza-tion, breathtaking artistry, storytelling and humor, Mesh presents complex ideas in a way that is palpable and relevant to even a novice audience. … Many of the topics in Mesh have never before been portrayed with computer graphics … .” 7 www.webwire.com

2007. DVD-Video. Length 39 minutes, booklet 23 p. (Springer VideoMATH)NTSC 7 ISBN 978-3-540-28484-0 7 €�9.95 l £�3.00 PAL 7 ISBN 978-3-540-28478-9 7 €�9.95 l £�3.00

Microflows and NanoflowsFundamentals and Simulation

G. Karniadakis, Brown University, Providence, RI USA; A. Beskok, Texas A&M University, College Station, TX USA; N. Aluru, University of Illinois at Urbana-Champaign, Urbana, IL USA

In the last few years there has been significant progress in the development of microfluidics and nanofluidics at the application as well as at the fundamental and simulation levels. This book provides a comprehensive summary of these changes describing fluid flow in micro and nano configurations. Where as in their previous book entitled Microflows: Fundamentals and Simula-tion the authors covered scales from one hundred nanometers to microns (and beyond), in this new book they discuss length scales from angstroms to microns (and beyond). While still maintaining the emphasis on fundamental concepts with a mix of semianalytical, experimental, and numerical results, this book outlines their relevance to modeling and analyzing functional devices. The text has been divided into three main subject categories: gas flows; liquid flows; and simulation techniques. The majority of the completely new developments in this book are in liquid flows and simulation techniques chapters with modified infor-mation throughout the rest of the book.

This book can be used in a two-semester graduate course. Also, selected chapters can be used for a short course or an undergraduate-level course. The book is suitable for graduate students and researchers in fluid mechanics, physics, and in elec-trical, mechanical and chemical engineering.

Review of earlier volume 7“Among recent books that addressed the physics of micro devices, the present one ... is perhaps the best of the bunch. ... Microflows: Fundamentals and Simulation has a lot to offer and is certainly recommended as a good place to start for MEMS students interested in flow physics.” 7 Applied Mechanics

“For those who want to compute flows at the micro scale, this monograph is a must. It describes the state of the art and helps by providing coefficients, such as [are] needed in situations of slip. Those who wonder what new fluid dynamics there is in the microworld are served by the overview of theory and treasures of numerical methods.” 7 European Journal of Mechanics B/Fluids

2005. XXI, 817 p. 395 illus. (Interdisciplinary Applied Mathematics, Volume 29) HardcoverISBN 978-0-387-22197-7 7 € 69,95 | £54.00

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Theory of ComputationD. C. Kozen, Cornell University, Ithaca, NY, USA

This textbook has been written with the dual purpose to cover core material in the foundations of computing for graduate students in computer science, as well as to provide an introduction to some more advanced topics for those intending further study in the area. This book contains an invaluable collection of lectures for first-year graduates on the theory of computation, focusing primarily on computational complexity theory. Topics and features include: Organization into self-contained lectures of 3-7 pages; 41 primary lectures and a handful of supplementary

lectures covering more specialized or advanced topics; 12 homework sets and several miscellaneous home-work exercises of varying levels of difficulty, many with hints and complete solutions. Aimed at advanced undergraduates and first-year graduates in Computer Science or Mathematics with an interest in the theory of computation and computational complexity, this book provides a thorough grounding the foundations of computa-tional complexity theory.

2006. XIII, 418 p. (Texts in Computer Science) HardcoverISBN 978-1-84628-297-3 7 € 59,95 | £39.50

Visualization in Medicine and Life SciencesL. Linsen, Jacobs University Bremen, Germany; H. Hagen, TU Kaiserslautern, Germany; B. Hamann, Univer-sity of California, Davis, USA (Eds.)

Visualization technology is becoming increas-ingly important for medical and biomedical data processing and analysis. This technology comple-ments traditional image processing methods as it allows scientists to visually interact with large, high-resolution three-dimensional image data. Further, an ever increasing number of new data acquisition methods are being used in medicine and the life sciences, in particular in genomics and proteomics. This book discusses some of the latest visualization techniques and systems for effective analysis of such

diverse, large, complex, and multi-source data. Experts from all over the world were invited to participate in a workshop held in July 2006, from which select research and survey papers resulting in this collection. The topics covered include: Segmentation and Feature Detection, Surface Extraction, Volume Visu-alization, Graph and Network Visualization, Visual Data Exploration, Multivariate and Multidimen-sional Data Visualization, Large Data Visualization.

2008. Approx. 400 p. (Mathematics and Visualization) HardcoverISBN 978-3-540-72629-6 7 approx. € 89,95 | £69.00

SpringerLink is one of the world’s leading interactive databases for high-quality STM journals, book series, books, reference works and the Online Archives Collection. SpringerLink is a powerful central access point for researchers and scientists.

springer.com Computational Science and Engineering��

A Computational Differential Geometry Approach to Grid GenerationV. D. Liseikin, Russian Academy of Sciences, Novosibirsk, Russia

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equa-tions used to simulate physical systems. This mono-graph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition, the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by:

Employing geometric and numerical analyses of monitor metrics as the basis for developing efficient tools for controlling grid properties. Describing new grid generation codes based on finite differences for generating both structured and unstructured surface and domain grids. Providing examples of applications of the codes to the generation of adaptive, field-aligned, and balanced grids, to the solutions of CFD and magne-tized plasmas problems. The book addresses both scientists and practitioners in applied mathematics and numerical solution of field problems.

2nd ed. 2006. XIV, 291 S. 81 illus., 3 in color. (Scientific Computation) HardcoverISBN 978-3-540-34235-9 7 € 99,95 | £77.00

Applied Partial Differential Equations:A Visual Approach

P. A. Markowich, University of Vienna, Austria

This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables such as mass, velocity, and energy to their spatial and temporal variations. Typically, these equa-tions are highly nonlinear; in many cases they are systems, and they represent challenges even for the most modern and sophisticated mathematical and numerical-analytic techniques. The selected topics reflect the longtime scientific interests of the author. They include flows of fluids and gases, granular-

material flows, biological processes such as pattern formation on animal skins, kinetics of rarified gases, free boundaries, semiconductor devices, and socio-economic processes. Each topic is briefly introduced in its scientific or engineering context, followed by a presentation of the mathematical models in the form of partial differential equations with a discus-sion of their basic mathematical properties. The author illustrates each chapter by a series of his own high-quality photographs, which demonstrate that partial differential equations are powerful tools for modeling a large variety of phenomena influencing our daily lives.

2007. IX, 206 p. With CD-ROM. HardcoverISBN 978-3-540-34645-6 7 € 6�,95 | £48.50

High Performance Computing in Science and Engineering ‘ 06Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2006

W. E. Nagel, Dresden University of Technology, Germany; W. Jäger, University of Heidelberg, Germany; M. Resch, University of Stuttgart, Germany (Eds.)

This book presents the state-of-the-art in simula-tion on supercomputers. Leading researchers present results achieved on systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2006. The reports cover all fields of computational science and engineering ranging from CFD via computational physics and chemistry to computer science with a special emphasis on industrially relevant applications. Presenting results

for both vector-systems and micro-processor based systems the book allows to compare performance levels and usability of various architectures. As HLRS operates the largest NEC SX-8 vector system in the world this book gives an excellent insight into the potential of vector systems. The book covers the main methods in high performance computing. Its outstanding results in achieving highest perfor-mance for production codes are of particular interest for both the scientist and the engineer. The book comes with a wealth of coloured illustrations and tables of results.

2007. X, 546 p. 312 illus., 101 in color. HardcoverISBN 978-3-540-36165-7 7 € 99,95 | £77.00


Numerical OptimizationJ. Nocedal, Northwestern University, Evanston, IL, USA; S. Wright, University of Wisconsin, WI, USA

Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a hand-book for researchers and practitioners in the field.

The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the disci-pline and its practical side. There is a selected solutions manual for instructors for the new edition.From the Reviews 7 “The books looks very suitable to be used in an graduate-level course in optimiza-tion for students in mathematics, operations research, engineering, and others. Moreover, it seems to be very helpful to do some self-studies in optimization, to complete own knowledge and can be a source of new ideas.... I recommend this excellent book to everyone who is interested in optimization problems.” 7 Math-ematical Methods of Operations Research

2nd ed. 2006. XXII, 664 p. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-0-387-30303-1 7 € 69,95 | £54.00

Computational Granular DynamicsModels and Algorithms

T. Pöschel, T. Schwager, Humboldt-Universität zu Berlin, Germany

From the reviews 7 “In this very readable text … a host of methods available for the discrete simulation of granular materials is covered. … this work fills a void in the textbook treatment of discrete-particle simulations for granular flows. The text provides the reader with the basic knowledge and tools needed to

perform simple simulations and to add complexity as needed. It is expected to be of pedagogical benefit for students as well as a valuable resource for researchers with interest and/or activity in this area.” 7 Granular Matter

2005. X, 322 p. 133 illus. HardcoverISBN 978-3-540-21485-4 7 € 59,95 | £46.00

Complex Systems in BiomedicineA. Quarteroni, L. Formaggia, A. Veneziani, Politecnico di Milano, Italy (Eds.)

This is a preliminary contribution to a mathematical research field which is growing impetuously and will attract increasing attention from medical researchers in the years to come. In this book the authors have collected the contribution from several Italian research groups that are successfully working

on this fascinating and challenging field. Every chapter will deal with a specific subfield, with the aim of providing an overview of the subject and an account of the most recent research results.

2006. XIV, 292 p. 88 illus. HardcoverISBN 978-88-470-0394-1 7 € 59,95 | £46.00

2ND

EDITION


High Performance Computing on Vector Systems �006Proceedings of the High Performance Computing Center Stuttgart, March 2006

M. Resch, T. Bönisch, S. Tiyyagura, University of Stutt-gart, Germany; T. Furui, NEC Corporation, Tokyo, Japan; Y. Seo, NEC Corporation, Kanagawa, Japan; W. Bez, NEC High Performance Europe GmbH, Düsseldorf, Germany (Eds.)

The book presents the state of the art in high performance computing and simulation on modern supercomputer architectures. It covers trends in high performance application software develop-ment in general and specifically for parallel vector

architectures. The contributions cover among others the field of computational fluid dynamics, physics, chemistry, and meteorology. Innovative applica-tion fields like reactive flow simulations and nano technology are presented. Furthermore, the use of supercomputers in the growing field of medical simulations is shown. All papers were chosen from presentations given at the fourth Teraflop Work-bench Project Workshop held at the Höchstleistung-srechenzentrum Stuttgart (HLRS) in March 2006.

2007. XI, 181 p. 117 illus., 104 in color. HardcoverISBN 978-3-540-47692-4 7 € 79,95 | £6�.50

Numerical Methods for Singularly Perturbed Differential EquationsConvection-Diffusion and Flow Problems

H. Roos, Technische Universität, Dresden, Germany; M. Stynes, University College Cork, Ireland; L. Tobiska, University of Magdeburg, Germany

This considerably extended and completely revised second edition incorporates many new develop-ments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solu-tions exhibit layers. The book focuses on linear

convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equa-tions.

2nd ed. 2007. Approx. 500 p. (Springer Series in Compu-tational Mathematics, Volume 24) HardcoverISBN 978-3-540-34466-7 7 approx. € 89,95 | £69.00

Numerical Treatment of Partial Differential EquationsH. Roos, C. Grossmann, TU Dresden, GermanyM. Stynes, University College Cork, Ireland

This book deals with discretization techniques for partial differential equations of elliptic, parabolic and hyperbolic type. It provides an introduction to main principles of discretization as well as it pres-ents the reader the ideas and analysis of advanced numerical methods in this area. The main motivation is to give students and mathematically interested engineers and scientists a textbook which contains all basic discretization techniques for the fundamental types of partial differential equations and in which the reader can find analytical tools, properties of the discretiza-tion techniques and hints to algorithmic aspects. Moreover it also guides to actual developments in

research. For instance, relatively detailed introductions are given into a posteriori error estimation, discon-tinuous Galerkin methods or optimal control with partial differential equations, very recent subjects, that are rarely to find in other books. The book is mainly dedicated to finite element methods, but discusses as well difference methods and finite volume techniques. Further, basic facts are given for solving the gener-ated discrete problems and chapters on singularly perturbed problems and variational inequalities and optimal control illuminate special topics reflecting research interests of the authors.

2007. Approx. 600 p. (Universitext) SoftcoverISBN 978-3-540-71582-5 7 approx. € 49,95 | £38.50

2ND

EDITION


Large Eddy Simulation for Incompressible FlowsAn Introduction

P. Sagaut, LMM - UPMC/CNRS, Paris, FranceForeword by: C. Meneveau

The only one of its kind devoted entirely to the subject, Large Eddy Simulation presents a compre-hensive account and a unified view of this young but very rich discipline. LES is the only efficient technique for approaching high Reynolds numbers when simulating industrial, natural or experimental configurations. The author concentrates on incom-pressible fluids and chooses topics well to treat both the mathematical ideas and the applications with care. The book addresses researchers as well as graduate students and engineers. The second edition was a greatly enriched version motivated both by the increasing theoretical interest in LES and the

increasing number of applications. Two entirely new chapters were devoted to the coupling of LES with multiresolution multidomain techniques and to the new hybrid approaches that relate the LES procedures to the classical statistical methods based on the Reynolds-Averaged Navier-Stokes equations. This 3rd edition adds various sections to the text like a careful error analysis, on filtered density function models and multiscale models. It also contains two new chapters on the prediction of scalars using LES which are of considerable interest for engineering and geophysical modeling. The part on geophysical flow has much to offer on a critical current issue.

3rd ed. 2006. XXIX, 556 p. 99 illus. (Scientific Computa-tion) HardcoverISBN 978-3-540-26344-9 7 € 69,95 | £54.00

Traffic and Granular Flow ‘ 05A. Schadschneider, Universität zu Köln, Germany; T. Pöschel, Universitätsklinikum Charité, Berlin, Germany; R. Kühne, Deutsches Zentrum für Luft- und Raumfahrt, Berlin, Germany; M. Schreckenberg, D. Wolf, Universität Duisburg-Essen, Germany (Eds.)

This book again continues the biannual series of (now six) conference proceedings, which has become a classical reference in traffic and granular

research alike. It addresses new developments at the borderline between physics, engineering and computational science. Complex systems, where many simple agents, be it vehicles or particles, give rise to surprising and fascinating phenomena.

2007. XIII, 739 p. 402 illus., 159 in colour. HardcoverISBN 978-3-540-47640-5 7 € 99,95 | £77.00

Stochastic OptimizationJ. J. Schneider, Johannes Gutenberg-Universität Mainz, Germany; S. Kirkpatrick, The Hebrew University of Jerusalem, Israel

The search for optimal solutions pervades our daily lives. From the scientific point of view, optimiza-tion procedures play an eminent role whenever exact solutions to a given problem are not at hand or a compromise has to be sought, e.g. to obtain a sufficiently accurate solution within a given amount of time. This book addresses stochastic optimization procedures in a broad manner, giving an overview

of the most relevant optimization philosophies in the first part. The second part deals with bench-mark problems in depth, by applying in sequence a selection of optimization procedures to them. While having primarily scientists and students from the physical and engineering sciences in mind, this book addresses the larger community of all those wishing to learn about stochastic optimization tech-niques and how to use them.

2006. XVI, 568 p. (Scientific Computation) HardcoverISBN 978-3-540-34559-6 7 € 79,95 | £6�.50

3RD

EDITION


Numerical Approximation Methods for Elliptic Boundary Value ProblemsFinite and Boundary Elements

O. Steinbach, Technische Universitat Graz, Austria

This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as effi-cient methods to solve the resulting linear systems.

Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods.

2006. X, 390 p. (Texts in Applied Mathematics, Volume 54) HardcoverISBN 978-0-387-31312-2 7 approx. € 46,95 | £36.00

Galerkin Finite Element Methods for Parabolic Problems2nd

Edition2nd

EditionV. Thomée, Chalmers University of Technology, Göte-borg, Sweden

This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin’s method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excel-lent insight in the present ideas and methods of

analysis. The second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particu-larly noncovex, spatial domains, and with time discretization based on using Laplace transforma-tion and quadrature.

2nd ed. 2006. XII, 370 p. (Springer Series in Computa-tional Mathematics, Volume 25) HardcoverISBN 978-3-540-33121-6 7 € 89,95 | £69.00

Vortex Dominated FlowsAnalysis and Computation for Multiple Scale Phenomena

L. Ting, New York University, New York, NY, USA; R. Klein, Freie Universität Berlin, Germany; O. M. Knio, The Johns Hopkins University, Baltimore, MS, USA

Addressed to both graduate students and researchers this monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and it demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient,

and accurate numerical techniques. The dynamics of slender vortex filaments is discussed in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex-generated sound and thermoacoustics.

2007. Approx. 510 p. (Applied Mathematical Sciences, Volume 161) HardcoverISBN 978-3-540-68581-4 7 € 69,95 | £54.00

2ND

EDITION


The Mathematica GuideBook for SymbolicsM. Trott, Wolfram Research Inc., Champaign, IL, USA

Mathematica is today’s most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility. The Mathematica GuideBook for Symbolics (code and text fully tailored for Mathematica 5.1) deals with Mathematica’s symbolic mathematical capabili-ties. Structural and mathematical operations on single and systems of polynomials are fundamental

to many symbolic calculations and they are covered in considerable detail. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, series expansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addition, this volume discusses and employs the classical orthogonal polynomials and special functions of mathematical physics. To demonstrate the symbolic mathematics power, a large variety of problems from mathematics and phyics are discussed.For PC and Mac For the complete system requirements see: springer.com

2006. XL, 1453 p. 848 illus. With DVD. HardcoverISBN 978-0-387-95020-4 7 € 6�,95 | £48.50

The Mathematica GuideBook for NumericsM. Trott, Wolfram Research Inc., Champaign, IL, USA

The Mathematica GuideBook for Numerics (text and code fully tailored for Mathematica 5.1) concentrates on Mathematica’s numerical math-ematics capabilities. The available types of arith-metic (machine, high-precision, and interval) are introduced, discussed, and put to use. Fundamental numerical operations, such as compiling programs, fast Fourier transforms, minimization, numerical

solution of equations, ordinary/partial differential equations are analyzed in detail and are applied to a large number of examples in the main text and solu-tions to the exercises.For PC and Mac For the complete system requirements see: springer.com

2006. XXVIII, 1208 p. 1364 illus. With DVD. HardcoverISBN 978-0-387-95011-2 7 € 6�,95 | £48.50

Pedestrian and Evacuation Dynamics �005N. Waldau, Ingenieurbüro WALDAU, Wien, Austria; P. Gattermann, Österreiches Institut für Schul- und Sportstättebau, Wien, Austria; H. Knoflacher, Technische Universität Wien, Austria; M. Schreckenberg, Universität Duisburg-Essen, Duisburg, Germany (Eds.)

Due to an increasing number of reported catas-trophes all over the world, the safety especially of pedestrians today, is a dramatically growing field of interest, both for practitioners as well as scientists from various disciplines. The questions arising mainly address the dynamics of evacuating people and possible optimisations of the process by changing the architecture and /or the procedure. This concerns not only the case of ships, stadiums or

buildings, all with restricted geometries, but also the evacuation of complete geographical regions due to natural disasters. Furthermore, also ‘simple’ crowd motion in ‘relaxed’ situations poses new questions with respect to higher comfort and efficiency since the number of involved persons at large events is as high as never before. In addition, as a new research topic in this field, collective animal behaviour is attracting increasing attention. All this was in the scope of the conference held in Vienna, September 28–30, 2005, the third one in a series after Duisburg (2001) and Greenwich (2003).

2007. XXIII, 495 p. 256 illus., 111 in color. HardcoverISBN 978-3-540-47062-5 7 € 99,95 | £77.00


Stay up to date on the latest developments in your field and receive exclusive special offers when you become a SpringerAlerts subscriber. Don’t miss out – visit springer.com to sign up.

Computational Contact MechanicsP. Wriggers, University of Hannover, Germany

This is the second edition of the valuable refer-ence source for numerical simulations of contact mechanics suitable for many fields like civil engi-neering, car design, aeronautics, metal forming, or biomechanics. Boundary value problems involving contact are of great importance in industrial applications in engi-neering such as bearings, metal forming processes, rubber seals, drilling problems, crash analysis of cars, rolling contact between car tires and the road, cooling of electronic devices. Other applications are related to biomechanical engineering design where human joints, implants or teeth are of consider-ation. Due to this variety, contact problems are today combined either with large elastic or inelastic deformations including time dependent responses. Thermal coupling also might have to be considered. Even stability behaviour has to be linked to contact. The topic of computational contact is described in depth providing an up-to-date treatment of different formulations, algorithms and discretisation tech-niques for contact problems which are established in the geometrically linear and nonlinear range. This

book provides the necessary continuum mechanics background which includes the derivation of the contact constraints. Constitutive equations stemming from tribology which are valid at the contact interface are discussed in detail. Discreti-zation schemes for small and finite deformations are discussed in depth. Solid and beam contact is considered as well as contact of unstable systems and thermomechanical contact. The algorithmic side covers a broad range of solution methods. Additionally adaptive discretisation techniques for contact analysis are presented as a modern tool for engineering design simulations. The present text book is written for graduate, Masters and PhD students, but also for engineers in industry, who have to simulate contact problems in practical application and wish to understand the theoretical and algorithmic background of contact treatment in modern finite element systems. For this second edition, illustrative simplified examples and new discretisation schemes and adap-tive procedures for coupled problems are added.

2nd ed. 2006. XII, 518 p. 258 illus. HardcoverISBN 978-3-540-32608-3 7 € 79,95 | £6�.50

Yesterday and Long AgoV. I. Arnold, Steklov Mathematical Institute, Moscow, Russia

This is a charming collection of essays on life and science, by one of the leading mathematicians of our day. Vladimir Igorevich Arnold is renowned for his achievements in mathematics, and nearly as famous for his informal teaching style, and for the clarity and accessibility of his writing. The chapter head-ings convey Arnold’s humor and restless imagina-

tion. A few examples: My first recollections; The combinatorics of Plutarch; The topology of surfaces according to Alexander of Macedon; Catching a pike in Cambridge. Yesterday and Long Ago offers a rare opportunity to appreciate the life and work of one of the world’s outstanding living mathematicians.

2007. XIV, 229 p. 43 illus. HardcoverISBN 978-3-540-28734-6 7 € �9,95 | £�3.00

2ND

EDITION

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A

Agrawal 7Allaire 7Anile 7Arnold 28Asmussen 8

B

Balachandar 8Behrens 5BermúdezdeCastro 8Berselli 9Bochev 9Boer 9Bona 10Bonilla 10Bungartz 5

C

Campbell 10Canuto 11Chipot 11Ciuprina 12Cousteix 12

D

Danaila 12Deuflhard 13

E

Elnashaie 13Enns 14

F

Ferrario 14Floriani 15

G

Gardner 2Gopalakrishnan 15Griebel 1,4Guler 15

H

Hagen 16Harris 16Hasle 16Hesthaven 17Hoffman 17Hoffmann 5Holden 17Holmes 18Holzapfel 18Hundsdorfer 18

I

Iannelli 19

J

Jäger 19Janzen 20

K

Karniadakis 20Kassinos 4Kozen 21

L

Langtangen 2,3Liseikin 22Lisen 21

M

Markowich 22

N

Nagel 22Nocedal 23

P

Pöschel 23

Q

Quarteroni 3,23

R

Resch 24Roos 24

S

Sagaut 25Schadschneider 25Schneider 25Steinbach 26Sundnes 1

T

Thomée 26Ting 26Trott 27

W

Waldau 27Widlund 4Wriggers 28

Contents

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Computational Science and Engineering - Springer · Computational Science and Engineering 3 springer.com Scientific Computing with MATLAB and Octave A. Quarteroni, Ecole Polytechnique