Antisymmetry, pseudospectral methods, and conservative PDEs

Details Antisymmetry, pseudospectral methods, and conservative PDEs Antisymmetry, pseudospectral methods, and conservative PDEs

1999-07-05

arxiv.org/abs/math/9907024v1

Mathematics

Numerical Analysis

6 page conference paper, no figures

Scientific paper

`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.

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