Partitioning ODE systems with an application to air pollution models

DOI10.1016/S0898-1221(01)00201-2zbMath0985.65087MaRDI QIDQ5948842

Zahari Zlatev

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

partitioningnumerical resultsNewton iterative methodstiff systemair pollution modelsbackward Euler approximation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Ecology (92D40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (max. 100)

Impact of Climatic Changes on Pollution Levels ⋮ Using Advanced Mathematical Tools in Complex Studies Related to Climate Changes and High Pollution Levels

Uses Software

• LAPACK
• RODAS

Cites Work

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• Relationships between emission sources and excess ozone concentrations
• Order and stepsize control in extrapolation methods
• One-step and extrapolation methods for differential-algebraic systems
• An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics
• Explicit methods for stiff ODEs from atmospheric chemistry
• Efficient implementation of fully implicit methods for atmospheric chemical kinetics
• Improved Quasi-Steady-State-Approximation Methods for Atmospheric Chemistry Integration
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods

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