Multi-symplectic spectral methods for the sine-Gordon equation
INTEGRATORS; Computer Science, Interdisciplinary Applications; Computer Science, ; Software Engineering; Computer Science, Theory & Methods
Recently it has been shown that spectral discretizations provide another class of multi-symplectic integrators for Hamiltonian wave equations with periodic boundary conditions. In this note we develop multi-symplectic spectral discretizations for the sine-Gordon equation. We discuss the preservation of its phase space geometry, as measured by the associated nonlinear spectrum, by the multi-symplectic spectral methods.
Computational Science - Iccs 2003, Pt Ii, Proceedings
"Multi-symplectic spectral methods for the sine-Gordon equation" (2003). Faculty Bibliography 2000s. 3827.