A\(_ 0\)-stability of variable stepsize BDF methods

DOI10.1016/0377-0427(93)90262-AzbMath0789.65064OpenAlexW1976948879MaRDI QIDQ688020

Manuel Calvo, Luis Rández, Juan I. Montijano

Publication date: 13 June 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90262-a

zbMATH Keywords

variable stepsizebackward differentiation formula method\(A_ 0\)-stabilityBDF-methodvariable grids

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (7)

Linearly Implicit Multistep Methods for Time Integration ⋮ Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator ⋮ High-order methods for the simulation of unsteady counterflow flames subject to stochastic forcing of large amplitude ⋮ Jacobian-free Newton-Krylov method for the simulation of non-thermal plasma discharges with high-order time integration and physics-based preconditioning ⋮ A nearly-conservative high-order Lagrange-Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields ⋮ Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations ⋮ Variable stepsize SDIMSIMs for ordinary differential equations

Uses Software

• VODE
• DIFSUB

Cites Work

• Unnamed Item
• Stability of multistep-methods on variable grids
• On the zero stability of the variable order variable stepsize BDF- formulas
• \(A_ 0\)-contractivity of the variable-step BDF's of order less than four
• On the Stability of Variable-Stepsize Nordsieck BDF Methods
• VODE: A Variable-Coefficient ODE Solver
• An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs

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