MOL solvers for hyperbolic PDEs with source terms

DOI10.1016/S0378-4754(01)00284-1zbMath0986.65084WikidataQ126634787 ScholiaQ126634787MaRDI QIDQ5943292

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Publication date: 28 May 2002

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

zbMATH Keywords

performancealgorithmnumerical experimentsmethod of linesGauss-Seidel iterationbackward Euler methodconservation laws with stiff source termsconvection-reaction problemsfirst order hyperbolic equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Complexity and performance of numerical algorithms (65Y20)

Related Items (6)

The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition ⋮ The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in the capillary ⋮ The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix ⋮ On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms ⋮ Approximate state-space and transfer function models for \(2 \times 2\) linear hyperbolic systems with collocated boundary inputs ⋮ Explicit finite difference schemes adapted to advection–reaction equations

Uses Software

• nag

Cites Work

• Numerical simulations of high-speed chemically reacting flow
• High accuracy numerical methods for thermally perfect gas flows with chemistry
• Unsplit schemes for hyperbolic conservation laws with source terms in one space dimension
• An algorithm for ODEs from atmospheric dispersion problems
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Capturing shock reflections: An improved flux formula
• Solving convection and convection-reaction problems using the method of lines
• Convergence Analysis for Operator-Splitting Methods Applied to Conservation Laws with Stiff Source Terms
• Gauss–Seidel Iteration for Stiff ODES from Chemical Kinetics
• New NAG library software for first-order partial differential equations
• Temporal Error Control for Convection-Dominated Equations in Two Space Dimensions

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