Conservation properties of multisymplectic integrators
Abbreviated Journal Title
Futur. Gener. Comp. Syst.
multisymplectic integrators; Hamiltonian PDEs; conservation laws; long-time dynamics; HAMILTONIAN PDES; DISCRETIZATIONS; EQUATIONS; BEHAVIOR; Computer Science, Theory & Methods
Recent results on the local and global properties of multisymplectic discretizations of Hamiltonian PDEs are discussed. We consider multisymplectic (MS) schemes based on Fourier spectral approximations and show that, in addition to a MS conservation law, conservation laws related to linear symmetries of the PDE are preserved exactly. We compare spectral integrators (MS versus non-symplectic) for the nonlinear Schrodinger (NLS) equation, focusing on their ability to preserve local conservation laws and global invariants, over long times. Using Lax-type nonlinear spectral diagnostics we find that the MS spectral method provides an improved resolution of complicated phase space structures. (c) 2004 Elsevier B.V. All rights reserved.
Future Generation Computer Systems-the International Journal of Grid Computing Theory Methods and Applications
Article; Proceedings Paper
"Conservation properties of multisymplectic integrators" (2006). Faculty Bibliography 2000s. 6248.