Cooperation Cooperation National Institute of Research and National Institute of Research and

DevelopmentDevelopmentfor Physics and Nuclear Engineering for Physics and Nuclear Engineering

``Horia Hulubei”, Bucharest``Horia Hulubei”, Bucharestandand

Department of Applied Department of Applied Mathematics and Computer Mathematics and Computer

SciencesSciencesGhent University, BelgiumGhent University, Belgium

1993-20071993-2007

First contactsFirst contacts First meeting Liviu Ixaru and Guido Vanden First meeting Liviu Ixaru and Guido Vanden

Berghe in the railway station of Gent-Sint-Berghe in the railway station of Gent-Sint-Pieters in 1993(?)Pieters in 1993(?)

First short stay of Liviu in Gent delivering on First short stay of Liviu in Gent delivering on December 8 1993 a lecture entitled: December 8 1993 a lecture entitled: Piecewise perturbation method for the Piecewise perturbation method for the numericalnumerical solution of Schrödinger equations. solution of Schrödinger equations.

End of 1994 stay of Liviu Ixaru in Gent for End of 1994 stay of Liviu Ixaru in Gent for several months; he was lecturing for PhD-several months; he was lecturing for PhD-students on Numerical methods for y”=f(x,y)students on Numerical methods for y”=f(x,y)

From 1998-2001From 1998-2001Highly efficient software for Highly efficient software for

operations on oscillatory operations on oscillatory functionsfunctions

First bilateral agreement between First bilateral agreement between Romania at one side and Ghent and Romania at one side and Ghent and Leuven (R. Cools) at the other side Leuven (R. Cools) at the other side sponsored by the Flemish Government sponsored by the Flemish Government with following stayswith following stays

Ixaru 1/9/1999-31/8/2000 (Ghent)Ixaru 1/9/1999-31/8/2000 (Ghent)Rizea 1/10/1999-30/11/1999 (Ghent)Rizea 1/10/1999-30/11/1999 (Ghent) Ixaru 1/9/2001-28/2/2002 (Leuven) with Ixaru 1/9/2001-28/2/2002 (Leuven) with

cooperation with KyungJoong Kimcooperation with KyungJoong Kim

October 11-18 2000October 11-18 2000

Working visit of Guido Vanden Berghe to Bucherest and visit of the National Institute of Research and Development for Physics and Nuclear Engineering ’Horia Hulubei”, Bucharest with lecture

Exponentially-fitted Runge-Kutta methods: definitions and applications

Dacia, Bucharest, CarpatiansDacia, Bucharest, Carpatians

End symposiumEnd symposium

Symposium Highly efficient software Symposium Highly efficient software for operations on oscillatory for operations on oscillatory functions”functions”

(Gent 29-30 november 2001)(Gent 29-30 november 2001)

BookBook

Published in 2004Published in 2004 With visit of Guido With visit of Guido

Vanden Berghe to Vanden Berghe to Bucharest in Bucharest in January for the last January for the last discussionsdiscussions

2005-20082005-2008

Second bilateral agreement between Second bilateral agreement between Ghent and Bucharest, entitledGhent and Bucharest, entitled

Special algorithms for solving Schrödinger Special algorithms for solving Schrödinger and Sturm-Liouville equations and and Sturm-Liouville equations and development of a MATLAB toolbox with development of a MATLAB toolbox with very accurate softwarevery accurate software

Visits in that period of M. Rizea and L. Visits in that period of M. Rizea and L. IxaruIxaru

March 14-20 2005March 14-20 2005

Visit of Veerle Ledoux, Marnix Van Visit of Veerle Ledoux, Marnix Van Daele and Guido Vanden Berghe to Daele and Guido Vanden Berghe to Bucharest for a weekBucharest for a week

Peles castlePeles castle

PhD thesisPhD thesis

Begin 2007 Liviu Ixaru was member of Begin 2007 Liviu Ixaru was member of the examination commission for the the examination commission for the PhD thesis of Veerle Ledoux entitled PhD thesis of Veerle Ledoux entitled

Study of special algorithms for solving Study of special algorithms for solving Sturm-Liouville andSturm-Liouville and Schr Schröödinger dinger equationsequations

PublicationsPublications

14 joint papers in the period 1995-14 joint papers in the period 1995-2007 in Journal of Computational and 2007 in Journal of Computational and Applied Mathematics, Computer Applied Mathematics, Computer Physics Communications and Physics Communications and Physical Review EPhysical Review E

Wed Wed Jan16Jan16

Th Th Jan17Jan17

Fri Jan 18Fri Jan 18

9.30-9.30-10.3010.30

GheriGheri VertseVertse Vigo AguiarVigo Aguiar

10.30-10.30-11.3011.30

El-DaouEl-Daou ScottScott PaternosterPaternoster

11.30-11.30-12.0012.00

CoffeeCoffee CoffeeCoffee CoffeeCoffee

12.00-12.00-13.0013.00

IxaruIxaru MarlettaMarletta RandezRandez

13.00-13.00-14.0014.00

LunchLunch LunchLunch LunchLunch

14.00-14.00-15.0015.00

RizeaRizea Van de Van de VijverVijver

15.00-15.00-16.0016.00

Van DaeleVan Daele CalvoCalvo

16.00-16.00-16.3016.30

CoffeeCoffee CoffeeCoffee

16.30-16.30-17.3017.30

Vanden Vanden BergheBerghe

LedouxLedoux