Time step selection for shock problems

DOI10.1002/cnm.423zbMath0985.65115OpenAlexW2070659738MaRDI QIDQ2748535

Karl Hörnell, Per Loetstedt

Publication date: 16 October 2001

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.423

zbMATH Keywords

numerical experimentsconservation lawmethod of lineserror estimateRunge-Kutta methodshockstime stepstep-size control

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (3)

A technique for time integration analysis with steps larger than the excitation steps ⋮ Space-time adaptive solution of first order PDEs ⋮ Space-time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations

Uses Software

• RKC

Cites Work

• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• RKC: An explicit solver for parabolic PDEs
• Solving Ordinary Differential Equations I
• One-Sided Difference Approximations for Nonlinear Conservation Laws
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
• Total variation diminishing Runge-Kutta schemes
• Systems of conservation laws

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