Bespoke finite difference methods that preserve two local conservation laws of the modified KdV equation
Numerical Analysis
2019-09-04 v1
Abstract
By exploiting the fact that conservation laws form the kernel of a discrete Euler operator, we use a recently introduced symbolic-numeric approach to construct a new class of finite difference methods for the modified Korteweg-de Vries (mKdV) equation, that preserve the local conservation laws of mass and energy.
Keywords
Cite
@article{arxiv.1808.09370,
title = {Bespoke finite difference methods that preserve two local conservation laws of the modified KdV equation},
author = {Gianluca Frasca-Caccia},
journal= {arXiv preprint arXiv:1808.09370},
year = {2019}
}