Line Integral solution of Hamiltonian PDEs
Numerical Analysis
2019-03-19 v1
Abstract
In this paper, we report about recent findings in the numerical solution of Hamiltonian Partial Differential Equations (PDEs), by using energy-conserving line integral methods in the Hamiltonian Boundary Value Methods (HBVMs) class. In particular, we consider the semilinear wave equation, the nonlinear Schr\"odinger equation, and the Korteweg-de Vries equation, to illustrate the main features of this novel approach.
Cite
@article{arxiv.1903.06704,
title = {Line Integral solution of Hamiltonian PDEs},
author = {Luigi Brugnano and Gianluca Frasca-Caccia and Felice Iavernaro},
journal= {arXiv preprint arXiv:1903.06704},
year = {2019}
}
Comments
33 pages, 3 figures, 3 tables