Premium
Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems
Author(s) -
Amodio P.,
Iavernaro F.,
Trigiante D.
Publication year - 2004
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.408
Subject(s) - mathematics , hamiltonian (control theory) , boundary value problem , hamiltonian system , numerical analysis , mathematical analysis , mathematical physics , mathematical optimization
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. Copyright © 2004 John Wiley & Sons, Ltd.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom