| Contact Information: |
| Location: Room 1104, Sentralbygg II |
| Address: |
Department of Mathematical Sciences, NTNU |
|
Alfred Getz vei 1 |
|
N-7491 Trondheim, Norway |
|
| Phone: +47 73 59 35 46, +47 41 48 41 58 (mobile) |
Email:  |
|
| Teaching: |
|
|
| Research
interests: |
- Partial differential equations
- Camassa-Holm equation
|
| Publications: |
| A numerical scheme based on
multipeakons for conservative
solutions of the Camassa-Holm equation.
|
| Helge Holden and Xavier
Raynaud. |
| To appear in the proceedings of
the 11th International Conference on
Hyperbolic Problems. 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. |
| To appear in Mathematical
Modelling and Numerical Analysis. pdf |
| Global conservative solutions of the generalized hyperelastic-rod wave equation |
| Helge Holden and Xavier
Raynaud. |
| To appear in Journal of
Differential Equation. pdf |
| Global
conservative multipeakon solutions of the
Camassa-Holm equation. |
| Helge Holden and Xavier
Raynaud. |
| To appear in Journal
of Hyperbolic Differential Equation. pdf |
| Global
conservative solutions of the Camassa-Holm
equation - A Lagrangian point of
view. |
| Helge Holden and Xavier
Raynaud. |
| To appear in
Communications on Partial
Differential Equations. pdf |
| Convergence of a Spectral
Projection of the Camassa-Holm equation. |
| Henrik Kalisch and Xavier
Raynaud. |
| To
appear in Numerical Methods for Partial
Differential Equations. pdf |
| Convergence
of a finite different scheme for the
Camassa-Holm equation. |
| Helge Holden and Xavier
Raynaud. |
| To appear in SIAM
Numerical Analysis. 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 |
|
|
My PhD thesis: On a shallow water
wave equation (pdf) | | which is composed of 6 of
the articles above and an introduction. |
|
