Application of predictor-corrector schemes with several correctors in solving air pollution problems

DOI10.1007/BF01934925zbMath0568.65044MaRDI QIDQ1060546

Zahari Zlatev

Publication date: 1984

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

systemsair pollutionpredictor-corrector schemespseudospectral discretizationsplitting-up techniquesvariable stepsize variable formula methods

Mathematics Subject Classification ID

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45) Other natural sciences (mathematical treatment) (92F05)

Related Items

Running air pollution models on the connection machine, Numerical treatment of large-scale air pollution models, Advances in the theory of variable stepsize variable formula methods for ordinary differential equations, Impact of Climatic Changes on Pollution Levels, Vectorizing codes for studying long-range transport of air pollutants, Using Advanced Mathematical Tools in Complex Studies Related to Climate Changes and High Pollution Levels, Relationships between emission sources and excess ozone concentrations, Mathematical model for studying the sulphur pollution over Europe, Testing advection schemes in a three-dimensional air pollution model

Uses Software

• LSODE
• ADM

Cites Work

• Stability restrictions on time-stepsize for numerical integration of first-order partial differential equations
• Variable stepsize variable formula methods based on predictor-corrector schemes
• Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants
• Stability of explicit time discretizations for solving initial value problems
• Zero-stability properties of the three-ordinate variable stepsize variable formula methods
• Stability and accuracy of time discretizations for initial value problems
• Consistency and convergence of general linear multistep variable stepsize variable formula methods
• G-stability is equivalent toA-stability
• Convergence and stability in the numerical integration of ordinary differential equations
• The Stability of Variable-Stepsize Nordsieck Methods
• Stability and Convergence of Variable Order Multistep Methods
• Numerical simulation of incompressible flows within simple boundaries: accuracy
• A special stability problem for linear multistep methods
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