Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation
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- Celledoni, E., Cohen, D. & Owren, B. Found Comput Math (2008) 8: 303. doi:10.1007/s10208-007-9016-7
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 L2-norm and/or the energy of the system.