Method of lines study of nonlinear dispersive waves

Saucez, Philippe; Schiesser, W. E.; Vande Wouwer, Alain; Zegeling, P.

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Method of lines study of nonlinear dispersive waves

Saucez, Philippe; Schiesser, W. E.; Vande Wouwer, Alain et al.

2004 • In Journal of Computational and Applied Mathematics, 168, p. 413-423

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Disciplines :

Electrical & electronics engineering
Mathematics

Author, co-author :

Saucez, Philippe ; Université de Mons > Faculté Polytechnique > Mathématique et Recherche opérationnelle

Schiesser, W. E.

Vande Wouwer, Alain ; Université de Mons > Faculté Polytechnique > Systèmes, Estimation, Commande et Optimisation

Zegeling, P.

Language :

English

Title :

Method of lines study of nonlinear dispersive waves

Publication date :

01 January 2004

Journal title :

Journal of Computational and Applied Mathematics

ISSN :

0377-0427

Publisher :

Elsevier, Netherlands

Volume :

168

Pages :

413-423

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

F107 - Systèmes, Estimation, Commande et Optimisation
F151 - Mathématique et Recherche opérationnelle

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Bibliography

Champneys A.R. Groves M.D. A global investigation of solitary wave solutions to a two-parameter model for water waves J. Fluid Mech. 342 1997 199-229
Fornberg B. Calculation of weights in finite difference formulas SIAM Rev. 40 1998 685-691
E. Hairer, G. Wanner, Solving Ordinary Differential Equations, Vol. II, Stiff and Differential-Algebraic Problems, Springer, Berlin, 1991.
Hereman W. Nuseir A. Symbolic methods to construct exact solutions of nonlinear partial differential equations Math. Comput. Simulation 43 1997 13-27
Kautsky J. Nichols N.K. Equidistributing meshes with constraints SIAM J. Sci. Statist. Comput. 1 1980 499-511
Rosenau P. Hyman J.M. The compacton: a soliton with compact support Phys. Rev. Lett. 70 1993 564-567
Sanz-Serna J.M. Christie I. A simple adaptive technique for nonlinear wave problems J. Comput. Phys. 67 1986 348-360
A. Vande Wouwer, Ph. Saucez, W.E. Schiesser (Eds.), Adaptive Method of Lines, Chapman - Hall/CRC, Boca Raton, 2001.