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Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, NTNU, 7491, Trondheim, Norway

    Elena Celledoni, David Cohen & Brynjulf Owren

Authors
  1. Elena Celledoni
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  2. David Cohen
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  3. Brynjulf Owren
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Correspondence to Brynjulf Owren.

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Dedicated to Professor Arieh Iserles on the Occasion of his Sixtieth Birthday.

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Celledoni, E., Cohen, D. & Owren, B. Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation. Found Comput Math 8, 303–317 (2008). https://doi.org/10.1007/s10208-007-9016-7

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  • DOI: https://doi.org/10.1007/s10208-007-9016-7

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