Avoiding BDF stability barriers in the MOL solution of advection- dominated problems

DOI10.1016/0168-9274(95)00036-TzbMath0832.65102OpenAlexW2041339019MaRDI QIDQ1899312

Alan C. Hindmarsh

Publication date: 5 March 1996

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

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00036-t

zbMATH Keywords

stabilitymethod of linesdetection algorithmadvection-diffusion problemBDF integrator

Mathematics Subject Classification ID

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)

Related Items

The MOL solution of time dependent partial differential equations, On variable step highly stable 4-stage Hermite-Birkhoff solvers for stiff ODEs, An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems, A comparison of some codes for the stiff oscillatory problem

Uses Software

• VODE

Cites Work

• VODE: A Variable-Coefficient ODE Solver
• The control of order and steplength for backward differentiation methods
• A Test for Instability in the Numerical Solution of Ordinary Differential Equations
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