We analyse the behaviour of symmetric boundary value methods applied to Hamiltonian evolutionary problems. We derive a forward–backward error analysis which allows us to state that the obtained numerical solution may be essentially regarded as the exact solution of a perturbed Hamiltonian problem of the same type as the original one and vice versa. A numerical test emphasizes the theoretical results.

Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems

AMODIO, Pierluigi;IAVERNARO, Felice;
2005-01-01

Abstract

We analyse the behaviour of symmetric boundary value methods applied to Hamiltonian evolutionary problems. We derive a forward–backward error analysis which allows us to state that the obtained numerical solution may be essentially regarded as the exact solution of a perturbed Hamiltonian problem of the same type as the original one and vice versa. A numerical test emphasizes the theoretical results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/128257
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