Antisymmetry, pseudospectral methods, and conservative PDEs
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
`Dual composition', a new method of constructing energy-preserving discretizations of conservative PDEs, is introduced. It extends the summation-by-parts approach to arbitrary differential operators and conserved quantities. Links to pseudospectral, Galerkin, antialiasing, and Hamiltonian methods are discussed.
Keywords
Cite
@article{arxiv.math/9907024,
title = {Antisymmetry, pseudospectral methods, and conservative PDEs},
author = {Robert McLachlan and Nicolas Robidoux},
journal= {arXiv preprint arXiv:math/9907024},
year = {2025}
}
Comments
6 page conference paper, no figures