Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637701 | Journal of Computational and Applied Mathematics | 2017 | 13 Pages |
Abstract
It is our purpose to design second derivative general linear methods (SGLMs) for solving Hamiltonian problems. To do this, we explore G-symplectic SGLMs which preserve a generalization of quadratic invariants along the long-time integration. We find sufficient conditions on the coefficients matrices of the methods which ensure G-symplecticity and control parasitism. We construct such methods up to order 44. Numerical experiments of the constructed methods on the well-known Hamiltonian problems indicate ability of the methods in solving Hamiltonian problems over long-time integration.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. Hosseini Nasab, G. Hojjati, A. Abdi,