Conformal multi-symplectic integration methods for forced-damped semi-linear wave equations
Abbreviated Journal Title
Math. Comput. Simul.
Multi-symplectic PDE; Conformal symplectic; Structure-preserving; algorithm; Splitting methods; Modified equations; HAMILTONIAN PDES; NUMERICAL-METHODS; CONSERVATION; SCHEMES; Computer Science, Interdisciplinary Applications; Computer Science, ; Software Engineering; Mathematics, Applied
Conformal symplecticity is generalized to forced-damped multi-symplectic PDEs in 1 + 1 dimensions Since,I conformal multi-symplectic property has a concise form for these equations. numerical algorithms that preserve this property. from a modified equations point of view. are available. In effect. the modified equations for standard multi-symplectic methods and for space-time splitting methods satisfy a conformal multi-symplectic property, and the splitting schemes exactly preserve global symplecticity in a special case. It is also shown that the splitting schemes yield incorrect rates of energy/momentum dissipation, but this IS not the case for standard multi-symplectic schemes. These methods work best. for problems where the dissipation coefficients are small, and a forced-damped semi-linear wave equation is considered as an example Published by Elsevier B.V. on behalf of IMACS.
Mathematics and Computers in Simulation
"Conformal multi-symplectic integration methods for forced-damped semi-linear wave equations" (2009). Faculty Bibliography 2000s. 1920.