An algorithm for ODEs from atmospheric dispersion problems

DOI10.1016/S0168-9274(97)00055-XzbMath0889.65085MaRDI QIDQ1372694

J. Ning

Publication date: 18 June 1998

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

zbMATH Keywords

chemical reactionslarge systems of ordinary differential equationsGauss-Seidel iterationsimplicit-explicit multistep methodJacobi factorizationnumerical differentiation methodsecond-order backward differentiation method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Meteorology and atmospheric physics (86A10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

On optimal location and management of a new industrial plant: numerical simulation and control ⋮ A comparison of integration methods for atmospheric transport-chemistry problems ⋮ MOL solvers for hyperbolic PDEs with source terms ⋮ Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods

Uses Software

• Matlab
• KELLEY
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• An adaptive theta method for the solution of stiff and nonstiff differential equations
• On the stability of implicit-explicit linear multistep methods
• A \(C^ 1\) interpolant for codes based on backward differentiation formulae
• A note on splitting errors for advection-reaction equations
• Solving convection and convection-reaction problems using the method of lines
• The MATLAB ODE Suite
• Type-Insensitive ODE Codes Based on Implicit A-Stable Formulas
• Gauss–Seidel Iteration for Stiff ODES from Chemical Kinetics
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

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