Stability and convergence of linear parabolic mixed initial-boundary value problems on nonuniform grids

DOI10.1016/0168-9274(90)90005-ZzbMath0708.65084OpenAlexW1992260314MaRDI QIDQ920599

Robert M. M. Mattheij, Mitchell D. Smooke

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0168-9274(90)90005-z

zbMATH Keywords

convergencenonuniform gridsadaptive selection of the grid pointsvariable step stability algorithms

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Uses Software

• COLSYS

Cites Work

• Unnamed Item
• Solution of burner-stabilized premixed laminar flames by boundary value methods
• Time-dependent solution of a premixed laminar flame
• Stability of parabolic difference schemes in the maximum norm
• Moving Finite Elements. I
• Fully Adaptive Solutions of One-Dimensional Mixed Initial-Boundary Value Problems with Applications to Unstable Problems in Combustion
• An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations
• On the Numerical Solution of Initial/Boundary-Value Problems in One Space Dimension
• Monotone Difference Schemes for Diffusion-Convection Problems
• On the Stability of Boundary Conditions for Separable Difference Approximations to Parabolic Equations

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