Energy conserving methods for Hamiltonian PDEs based on spectral space decomposition
Numerical Analysis
2014-10-28 v1
Abstract
In this paper we discuss energy conservation issues related to the numerical solution of the nonlinear wave equation, when a Fourier expansion is considered for the space discretization. The obtained semi-discrete problem is then solved in time by means of energy-conserving Runge-Kutta methods in the HBVMs class.
Cite
@article{arxiv.1410.7010,
title = {Energy conserving methods for Hamiltonian PDEs based on spectral space decomposition},
author = {Luigi Brugnano and Gianluca Frasca Caccia and Felice Iavernaro},
journal= {arXiv preprint arXiv:1410.7010},
year = {2014}
}
Comments
25 pages, 7 figure