A class of volume-preserving numerical algorithms. (English) Zbl 1158.65062
A class of general volume-preserving algorithms is presented, and it includes more standard methods as special cases. The corresponding generating functions are also given, and they generate higher-order volume-preserving difference schemes for Hamilton-Jacobi equations.
Reviewer: Gerald W. Hedstrom (Pleasanton)
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 70H20 | Hamilton-Jacobi equations in mechanics |
| 35L60 | First-order nonlinear hyperbolic equations |
Keywords:
volume-preserving algorithms; source-free system; Hamilton-Jacobi equation; generating function approach; difference schemesReferences:
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