Optimal numerical algorithms

DOI10.1016/0168-9274(92)90043-DzbMath0758.65059OpenAlexW1985628533MaRDI QIDQ1195361

F. V. Postell, E. Adams, William F. Ames

Publication date: 25 October 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90043-d

zbMATH Keywords

algorithmstabilitynonlinear differential equationsgroup structureNumerical resultsinvariant methodshigher order finite difference schemesone-dimensional nonlinear wave and diffusion equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Symmetry reductions and exact solutions of a class of nonlinear heat equations ⋮ Symmetries of a class of nonlinear third-order partial differential equations ⋮ New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations ⋮ New exact solutions of Burgers’s equation—an extension to the direct method of Clarkson and Kruskal ⋮ Nonclassical symmetry reductions of the Boussinesq equation ⋮ Symmetries of a Class of Nonlinear Fourth Order Partial Differential Equations

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