Pseudo-characteristic method of lines solution of first-order hyperbolic equation systems

DOI10.1016/0378-4754(80)90100-7zbMath0427.35003OpenAlexW2093733692MaRDI QIDQ1136928

M. B. Carver

Publication date: 1980

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(80)90100-7

zbMATH Keywords

method of linesmethod of characteristicscompressible gas flowfirst-order hyperbolic partial differential equationsconservation equationsshallow water flowsteep waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Hyperbolic equations and hyperbolic systems (35L99)

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Benchmark fluid flow problems for continuous simulation languages, Remarks on the choice of a stiff ordinary differential equation solver, Experiments with an ordinary differential equation solver in the parallel solution of method of lines problems on a shared-memory parallel computer, Numerical computation of transient shocked chemically reactive flows

Cites Work

• A stable difference scheme for the solution of hyperbolic equations using the method of lines
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• High intensity sound in a lined duct
• The method of lines and the advective equation
• Nonlinear shallow fluid flow over an isolated ridge
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Unnamed Item