In this paper numerical methods for solving linear Hamiltonian systems are proposed. These schemes are semi-implicit procedures where no iteration is required and which are based on the numerical solution of the variational equation by means of symplectic-preserving procedures. Applications of these methods to certain nonlinear Hamiltonian systems and numerical tests are reported.
Symplectic methods based on the matrix variational equation for Hamiltonian systems
DEL BUONO, Nicoletta;ELIA, CINZIA;LOPEZ, Luciano
2002-01-01
Abstract
In this paper numerical methods for solving linear Hamiltonian systems are proposed. These schemes are semi-implicit procedures where no iteration is required and which are based on the numerical solution of the variational equation by means of symplectic-preserving procedures. Applications of these methods to certain nonlinear Hamiltonian systems and numerical tests are reported.File in questo prodotto:
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