Explicit methods for stiff ODEs from atmospheric chemistry

DOI10.1016/0168-9274(95)00068-6zbMath0839.65078OpenAlexW2005055728MaRDI QIDQ1902090

Yanyan Li

Publication date: 16 June 1996

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

Full work available at URL: https://ir.cwi.nl/pub/172

zbMATH Keywords

stabilityair pollutionRunge-Kutta methodGauss-Seidel iterationexplicit methodatmospheric chemical kinetics systemsatmospheric chemistry-transport problemsquasi-steady-state approximation methodvariable-step second-order BDF method

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Numerical methods for the solution of large kinetic systems, A review of current issues in air pollution modeling and simulation, An implicit-explicit approach for atmospheric transport-chemistry problems, A quantitative comparison of numerical method for solving stiff ordinary differential equations, Algebraic stabilization of explicit numerical integration for extremely stiff reaction networks, Relationships between emission sources and excess ozone concentrations, A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics, Partitioning ODE systems with an application to air pollution models, A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation, A stiff ODE preconditioner based on Newton linearization, Solving chemical kinetics equations by explicit methods, Solving reduced chemical models in air pollution modelling

Uses Software

• VODE

Cites Work

• Unnamed Item
• An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics
• VODE: A Variable-Coefficient ODE Solver
• Gauss–Seidel Iteration for Stiff ODES from Chemical Kinetics