An almost L‐stable BDF‐type method for the numerical solution of stiff ODEs arising from the method of lines

DOI10.1002/num.20212zbMath1129.65049OpenAlexW2021066039MaRDI QIDQ5433227

Higinio Ramos, Jesus Vigo Aguiar

Publication date: 8 January 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20212

zbMATH Keywords

numerical experimentsstiff systemsmethod of linesBDF-type methodsalmost L-stabilityinitial-value problems \(A(\alpha)\)-stability

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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)

Related Items (5)

A-stable, explicit method for solving stiff problems in science and engineering ⋮ The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition ⋮ Time discretization in the solution of parabolic PDEs with ANNs ⋮ Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods ⋮ Numerical approximation to ODEs using the error functional

Uses Software

• RADAU

Cites Work

• Unnamed Item
• Solving Ordinary Differential Equations II

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