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On multisymplectic integrators based on Runge–Kutta–Nyström methods for Hamiltonian wave equations by Qinghong Li; Yajuan Sun; Yushun Wang is a Mathematics article available to read on EtoBox.
What is On multisymplectic integrators based on Runge–Kutta–Nyström methods for Hamiltonian wave equations about?
Many conservative partial differential equations (PDEs), such as wave equations, Schro ̈dinger equations, KdV equations, Maxwell equations and so on, allow for a multisymplectic formulation which can be regarded as a generalization of the symplectic structure of Hamiltonian ordinary differential equations (ODEs). In this note, for Hamiltonian wave equations, we show the discretization in space and time using two symplectic Runge-Kutta-Nystro ̈m (SRKN) methods respectively leads to a multisymplectic integrator which can preserve a discrete multisymplectic conservation law. Moreover, we discuss the energy and momentum conservative properties of the multisymplectic integrator for the wave equations with a quadratic potential.
Who reads On multisymplectic integrators based on Runge–Kutta–Nyström methods for Hamiltonian wave equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Qinghong Li; Yajuan Sun; Yushun Wang
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)