In this paper we show that energy conserving methods, in particular those in the class of Hamiltonian Boundary Value Methods, can be conveniently used for the numerical solution of Hamiltonian Partial Differential Equations, after a suitable space semi-discretization.
Energy conservation issues in the numerical solution of Hamiltonian PDEs / L.Brugnano; G.Frasca Caccia; F.Iavernaro. - ELETTRONICO. - 1648:(2015), pp. 0200021-0200024. (Intervento presentato al convegno INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) tenutosi a Rodi (GR) nel 22-28 September, 2014) [10.1063/1.4912306].
Energy conservation issues in the numerical solution of Hamiltonian PDEs
BRUGNANO, LUIGI;FRASCA CACCIA, GIANLUCA;
2015
Abstract
In this paper we show that energy conserving methods, in particular those in the class of Hamiltonian Boundary Value Methods, can be conveniently used for the numerical solution of Hamiltonian Partial Differential Equations, after a suitable space semi-discretization.
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