The iterative solution of fully implicit discretizations of three-dimensional transport models

DOI10.1016/S0168-9274(97)00063-9zbMath0890.65099MaRDI QIDQ1372705

J. Ning

Publication date: 23 June 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical examplesparallel computationmethod of linesiterative methodsimplicit Runge-Kutta methodsystems of nonlinear equationsadvection-diffusion-reaction equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) 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

A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations, A comparison of integration methods for atmospheric transport-chemistry problems, Factorization in block-triangularly implicit methods for shallow water applications, Approximate factorization for time-dependent partial differential equations, Time integration of the shallow water equations in spherical geometry, Note on the time integration of 3D advection-reaction equations, Splitting methods for second-order initial value problems, Linearly implicit splitting methods for higher space-dimensional parabolic differential equations, Analysis approximate factorization in iteration methods, Numerical experiments with Krylov integrators, The use of approximate factorization in stiff ODE solvers

Cites Work

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• Splitting methods for three-dimensional transport models with interaction terms
• Analysis approximate factorization in iteration methods
• Splitting methods for three-dimensional bio-chemical transport
• Triangularly Implicit Iteration Methods for ODE-IVP Solvers
• Iterated Runge–Kutta Methods on Parallel Computers