A new approximate matrix factorization for implicit time integration in air pollution modeling

DOI10.1016/S0377-0427(03)00414-XzbMath1031.65106MaRDI QIDQ1405200

Jan G. Verwer, Mikhail A. Botchev

Publication date: 25 August 2003

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

zbMATH Keywords

air pollution modelingmethod of linesapproximate matrix factorizationoperator splittingRosenbrock methodssemidiscretizationlarge sparse linear systemsstiff ODEsGMREsKrylov solvers

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Ecology (92D40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (9)

Stochastic modelling of air pollution impacts on respiratory infection risk ⋮ Rosenbrock-W methods for stochastic Galerkin systems ⋮ A new approximate matrix factorization for implicit time integration in air pollution modeling ⋮ A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems ⋮ Iterative and noniterative, full and approximate factorization methods for multidimensional reaction-diffusion equations ⋮ Efficient uncertainty quantification with the polynomial chaos method for stiff systems ⋮ Quadratic finite volume element method for the air pollution model ⋮ Epidemic SIS model in air-polluted environment ⋮ A characteristic centred finite difference method for a 2D air pollution model

Uses Software

• RODAS

Cites Work

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