Note on the time integration of 3D advection-reaction equations

DOI10.1016/S0377-0427(99)00322-2zbMath0952.65066OpenAlexW2088543265MaRDI QIDQ1567365

P. J. van der Houwen

Publication date: 15 January 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00322-2

zbMATH Keywords

stabilityconvergenceerror estimatestime integrationsemidiscretizationNewton methodFaedo-Galerkin approximationadvection-reaction equation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) 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) Initial value problems for first-order hyperbolic systems (35L45)

Uses Software

• Maple

Cites Work

• The iterative solution of fully implicit discretizations of three-dimensional transport models
• Numerical time integration for air pollution models
• Diagonally implicit Runge-Kutta methods for 3D shallow water applications
• A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems

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