Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation

Artikel i vetenskaplig tidskrift, 2008

In this article, we derive and study symmetric exponential integrators. Numerical experiments are performed for the cubic Schrödinger equation and comparisons with classical exponential integrators and other geometric methods are also given. Some of the proposed methods preserve the L 2-norm and/or the energy of the system.