paper

Antisymmetry, pseudospectral methods, and conservative PDEs

arXiv:math/9907024

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.

6 page conference paper, no figures