中文

Antisymmetry, pseudospectral methods, and conservative PDEs

数值分析 2025-10-20 v1 数值分析

摘要

`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.

关键词

引用

@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}
}

备注

6 page conference paper, no figures