Backward difference replacements of the space derivative in first-order hyperbolic equations

DOI10.1016/0045-7825(84)90094-XzbMath0522.65062OpenAlexW1984608136MaRDI QIDQ1056204

E. H. Twizell, Abdul Q. M. Khaliq

Publication date: 1984

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90094-x

zbMATH Keywords

test problemsA0-stablebackward difference approximantL0-stabletwo-time level difference schemeswave-form solutions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Initial-boundary value problems for first-order hyperbolic systems (35L50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

PARALLEL ALGORITHMS FOR SECOND-ORDER HYPERBOLIC EQUATIONS, Sequential and parallel methods for solving first-order hyperbolic equations, Non-dissipative time-integration schemes for the linear advection equation, Third-order methods for first-order hyperbolic partial differential equations, Finite element methods for nonlinear advection

Uses Software

• SHASTA

Cites Work

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• One-step multiderivative methods for first order ordinary differential equations
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II
• The extrapolation of stable finite difference schemes for first order hyperbolic equations
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
• Fourth Order Difference Methods for the Initial Boundary-Value Problem for Hyperbolic Equations
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works