| Multi-symplectic integration
of the Camassa--Holm equation
|
| David Cohen, Brynjulf Owren and
Xavier Raynaud. |
| To appear in Journal of
Computational Physics. pdf |
| A numerical scheme based on
multipeakons for conservative
solutions of the Camassa-Holm equation.
|
| Helge Holden and Xavier
Raynaud. |
| Hyperbolic problems:
theory, numerics, applications, pages 873-881. Springer, Berlin, 2008.pdf |
| Periodic conservative solutions of the
Camassa-Holm equation.
|
| Helge Holden and Xavier
Raynaud. |
| To appear in the Annales de
l'Institut Fourier.
pdf |
| On the rate of convergence
of a collocation projection of the KdV
equation |
| Henrik Kalisch and Xavier
Raynaud. |
| Mathematical
Modelling and Numerical Analysis 41 (2007), no. 1, 95--110. pdf |
| Global conservative solutions of the generalized hyperelastic-rod wave equation |
| Helge Holden and Xavier
Raynaud. |
| J. Differential Equations 233 (2007), no. 2, 448--484.pdf |
| Global
conservative multipeakon solutions of the
Camassa-Holm equation. |
| Helge Holden and Xavier
Raynaud. |
| J. Hyperbolic Differ. Equ. 4 (2007), no. 1, 39--64. pdf |
| Global
conservative solutions of the Camassa-Holm
equation - A Lagrangian point of
view. |
| Helge Holden and Xavier
Raynaud. |
| Communications in Partial Differential Equations 32 (2007) 15111549.
pdf |
| Convergence of a Spectral
Projection of the Camassa-Holm equation. |
| Henrik Kalisch and Xavier
Raynaud. |
| Numerical Methods for Partial Differential
Equations} 22 (2006), no. 5,
1197-1215.pdf |
| Convergence
of a finite different scheme for the
Camassa-Holm equation. |
| Helge Holden and Xavier
Raynaud. |
| SIAM J. Numer. Anal. 44 (2006), no. 4, 1655--1680.pdf |
| A
convergent numerical scheme for the Camassa-Holm
equation based on multipeakons. |
| Helge Holden and Xavier
Raynaud. |
| Discrete
Contin. Dyn. Syst. 14 (2006), no. 3,
505--523. pdf |
|
