We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Multi-symplectic Runge–Kutta-type methods for Hamiltonian wave equations.
- Authors
Hongyu Liu; Kai Zhang
- Abstract
The non-linear wave equation is taken as a model problem for the investigation. Different multi-symplectic reformulations of the equation are discussed. Multi-symplectic Runge–Kutta methods and multi-symplectic partitioned Runge–Kutta methods are explored based on these different reformulations. Some popular and efficient multi-symplectic schemes are collected and constructed. Stability analyses are performed for these schemes.
- Subjects
RUNGE-Kutta formulas; NUMERICAL solutions to differential equations; HAMILTONIAN systems; WAVE equation; PARTIAL differential equations
- Publication
IMA Journal of Numerical Analysis, 2006, Vol 26, Issue 2, p252
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/dri042