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241 Direct numerical simulation of turbulence using GPU accelerated supercomputers A. Khajeh-Saeed and J. Blair Perot 258 Calculation of global optimal initial and boundary perturbations for the linearised incompressible Navier–Stokes equations X. Mao, H.M. Blackburn and S.J. Sherwin 274 Discrete conservation laws and the convergence of long time simulations of the mkdv equation C. Gorria, M.A. Alejo and L. Vega 286 Finite analytic numerical method for two-dimensional fluid flow in heterogeneous porous media Z.-F. Liu and X.-H. Wang 302 A compact five-point stencil based on integrated RBFs for 2D second-order differential problems N. Mai-Duy and T. Tran-Cong 322 Fully pseudospectral time evolution and its application to 1+1 dimensional physical problems J. Hennig 334 Simulation of high speed impact, penetration and fragmentation problems on locally refined Cartesian grids S. Sambasivan, A. Kapahi and H.S. Udaykumar 371 Comparison between adaptive and uniform discontinuous Galerkin simulations in dry 2D bubble experiments A. Mu¨ller, J. Behrens, F.X. Giraldo and V. Wirth 394 Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs W. Hu, Z. Deng, S. Han and W. Zhang 407 A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics B. Kaltenbacher, M. Kaltenbacher and I. Sim 423 Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schro¨dinger equation W. Bao, Q. Tang and Z. Xu 446 Time dependent solution for acceleration of tau-leaping J. Fu, S. Wu and L.R. Petzold 458 Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen- structure analysis based on Fourier approach W. Guo, X. Zhong and J.-M. Qiu 486 A quantum energy transport model for semiconductor device simulation S. Sho and S. Odanaka 497 A minimum action method for small random perturbations of two-dimensional parallel shear flows X. Wan 515 Fluid–structure interaction in blood flow capturing non-zero longitudinal structure displacement M. Bukacˇ, S. C ˇ anic´, R. Glowinski, J. Tambacˇa and A. Quaini 542 Hermite finite elements for diffusion phenomena V. Ruas, D. Branda˜o and M. Kischinhevsky 565 On the well-balanced numerical discretization of shallow water equations on unstructured meshes A. Duran, Q. Liang and F. Marche 587 Efficient energy-preserving integrators for oscillatory Hamiltonian systems X. Wu, B. Wang and W. Shi 606 GPU accelerated fully space and time resolved numerical simulations of self-focusing laser beams in SBS-active media S. Mauger, G. Colin de Verdie`re, L. Berge´ and S. Skupin Continued from outside back cover Contents continued on last page

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241 Direct numerical simulation of turbulence using GPU accelerated supercomputers

A. Khajeh-Saeed and J. Blair Perot

258 Calculation of global optimal initial and boundary perturbations for the linearised incompressible

Navier–Stokes equations

X. Mao, H.M. Blackburn and S.J. Sherwin

274 Discrete conservation laws and the convergence of long time simulations of the mkdv equation

C. Gorria, M.A. Alejo and L. Vega

286 Finite analytic numerical method for two-dimensional fluid flow in heterogeneous porous media

Z.-F. Liu and X.-H. Wang

302 A compact five-point stencil based on integrated RBFs for 2D second-order differential problems

N. Mai-Duy and T. Tran-Cong

322 Fully pseudospectral time evolution and its application to 1+1 dimensional physical problems

J. Hennig

334 Simulation of high speed impact, penetration and fragmentation problems on locally refined

Cartesian grids

S. Sambasivan, A. Kapahi and H.S. Udaykumar

371 Comparison between adaptive and uniform discontinuous Galerkin simulations in dry 2D bubble

experiments

A. Muller, J. Behrens, F.X. Giraldo and V. Wirth

394 Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs

W. Hu, Z. Deng, S. Han and W. Zhang

407 A modified and stable version of a perfectly matched layer technique for the 3-d second order wave

equation in time domain with an application to aeroacoustics

B. Kaltenbacher, M. Kaltenbacher and I. Sim

423 Numerical methods and comparison for computing dark and bright solitons in the nonlinear

Schrodinger equation

W. Bao, Q. Tang and Z. Xu

446 Time dependent solution for acceleration of tau-leaping

J. Fu, S. Wu and L.R. Petzold

458 Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-

structure analysis based on Fourier approach

W. Guo, X. Zhong and J.-M. Qiu

486 A quantum energy transport model for semiconductor device simulation

S. Sho and S. Odanaka

497 A minimum action method for small random perturbations of two-dimensional parallel shear flows

X. Wan

515 Fluid–structure interaction in blood flow capturing non-zero longitudinal structure displacement

M. Bukac, S. Canic, R. Glowinski, J. Tambaca and A. Quaini

542 Hermite finite elements for diffusion phenomena

V. Ruas, D. Brandao and M. Kischinhevsky

565 On the well-balanced numerical discretization of shallow water equations on unstructured meshes

A. Duran, Q. Liang and F. Marche

587 Efficient energy-preserving integrators for oscillatory Hamiltonian systems

X. Wu, B. Wang and W. Shi

606 GPU accelerated fully space and time resolved numerical simulations of self-focusing laser beams in

SBS-active media

S. Mauger, G. Colin de Verdiere, L. Berge and S. Skupin

Continued from outside back cover

Contents continued on last page