Section: New Results

High order approximation of dispersive equations and conservation of invariants

Participants : Richard Pasqueti, Sebastian Minjeaud.

Focusing on the Korteweg-de Vries (KdV) equation, algorithms have been proposed to handle high order derivative terms (third order for KdV) with $C^0$ elements and to preserve invariants (mass and momentum for KdV) through the time-scheme (see [33] ).