On the comparison of multistep formulations of the optimized Lax-Wendroff method for nonlinear hyperbolic systems in two space variables

DOI10.1016/0021-9991(70)90061-6zbMath0194.47402OpenAlexW2008222590MaRDI QIDQ2538968

A. R. Gourlay, John Ll. Morris

Publication date: 1970

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(70)90061-6

zbMATH Keywords

numerical mathematics

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A point vortex dipole model of an isolated modon ⋮ A class of implicit, second-order accurate, dissipative schemes for solving systems of conservation laws ⋮ A comparison of boundary methods for the numerical solution of hyperbolic systems of equations ⋮ Numerical stabilizers and computing time for second-order accurate schemes ⋮ On two step Lax-Wendroff methods in several dimensions ⋮ Derivation of boundary conditions for the artificial boundaries associated with the solution of certain time dependent problems by Lax–Wendroff type difference schemes ⋮ A class of second-order accurate methods for the solution of systems of conservation laws ⋮ An implicit finite difference method for Eulerian fluid dynamics ⋮ Phase error and stability of second order methods for hyperbolic problems. I

Cites Work

• Central difference schemes and stiff boundary value problems
• Alternating direction methods for hyperbolic systems
• Accurate partial difference methods. II: Non-linear problems
• Systems of conservation laws
• Finite-Difference Methods for Nonlinear Hyperbolic Systems
• Deferred approach to the limit in non-linear hyperbolic systems
• Finite-Difference Methods for Nonlinear Hyperbolic Systems. II
• A Multistep Formulation of the Optimized Lax-Wendroff Method for Nonlinear Hyperbolic Systems in Two Space Variables
• On the Construction and Comparison of Difference Schemes
• Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
• Difference schemes for hyperbolic equations with high order of accuracy

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