An implicit difference scheme for a moving boundary hyperbolic problem

DOI10.1016/0168-9274(93)90065-YzbMath0780.65076OpenAlexW2170231745MaRDI QIDQ686532

Riccardo Fazio, David J. Evans

Publication date: 10 October 1993

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

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90065-y

zbMATH Keywords

stabilityconvergencenumerical experimentsimplicit finite difference schemehyperbolic free boundary problemmoving boundary hyperbolic problemshock front propagation

Mathematics Subject Classification ID

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) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) First-order hyperbolic systems (35L40)

Related Items (1)

Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK.

Cites Work

• A treatment of discontinuities in shock-capturing finite difference methods
• A nonlinear hyperbolic free boundary value problem
• Treatment of multi-dimensional moving boundary problems by coordinate transformation
• Group theoretic and similarity analysis of hyperbolic partial differential equations
• Propagation of round-off errors and the role of stability in numerical methods for linear and nonlinear PDEs
• Uniformly high order accurate essentially non-oscillatory schemes. III
• A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material
• Similarity analysis and nonlinear wave propagation
• The approach to self-similarity of the solutions of the shallow-water equations representing gravity-current releases
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Stability and Convergence for Non-Linear Difference Schemes are Equivalent
• Similarity and numerical analysis for free boundary value problems^∗
• On the Instability of Leap-Frog and Crank-Nicolson Approximations of a Nonlinear Partial Differential Equation
• Heat conduction in a melting solid
• The formation of a blast wave by a very intense explosion I. Theoretical discussion
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