Zero-stability properties of the three-ordinate variable stepsize variable formula methods

DOI10.1007/BF01398250zbMath0475.65041MaRDI QIDQ1159444

Zahari Zlatev

Publication date: 1981

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132724

zbMATH Keywords

systemAdams formulaelinear multistep variable stepsize variable formula methodszero-stability properties

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Running air pollution models on the connection machine, Multiderivative variable stepsize variable formula methods, Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations, Implementation of \(\alpha\)-type multistep methods for stiff differential equations, Numerical treatment of large-scale air pollution models, The second-order backward differentiation formula is unconditionally zero-stable, Advances in the theory of variable stepsize variable formula methods for ordinary differential equations, On the zero stability of the variable order variable stepsize BDF- formulas, The numerical solution of neutral functional differential equations by Adams predictor-corrector methods, \(A_ 0\)-stable linear multistep formulas of the \(\alpha\)-type, Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations, Stability of multistep-methods on variable grids, On the zero-stability of the 3-step BDF-formula on nonuniform grids, Efficient implementation of advanced Richardson extrapolation in an atmospheric chemical scheme, Consistency and convergence of general linear multistep variable stepsize variable formula methods, Stability restrictions on time-stepsize for numerical integration of first-order partial differential equations, Mathematical model for studying the sulphur pollution over Europe, Variable stepsize variable formula methods based on predictor-corrector schemes, Application of predictor-corrector schemes with several correctors in solving air pollution problems, 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

Uses Software

• DIFSUB

Cites Work

• Stability of explicit time discretizations for solving initial value problems
• G-stability is equivalent toA-stability
• Application of backward differentiation methods to the finite element solution of time-dependent problems
• Convergence and stability in the numerical integration of ordinary differential equations
• Two-parameter families of predictor-corrector methods for the solution of ordinary differential equations
• Automatic Solution of Differential Equations Based on the User of Linear Multistep Methods
• The Effect of Variable Mesh Size on the Stability of Multistep Methods
• Stability and Convergence of Variable Order Multistep Methods
• The Stability of Numerical Methods for Second Order Ordinary Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item