On the Stability of Variable-Stepsize Nordsieck BDF Methods

DOI10.1137/0724054zbMath0644.65042OpenAlexW2051604943MaRDI QIDQ3787373

Manuel Calvo, Juan I. Montijano, Francisco Javier Lisbona

Publication date: 1987

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0724054

zbMATH Keywords

stabilitybackward differential formulasvariable stepsize methods

Mathematics Subject Classification ID

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

Related Items (9)

Linearly Implicit Multistep Methods for Time Integration ⋮ Scale and modify for the second and third order BDF methods ⋮ High-order methods for the simulation of unsteady counterflow flames subject to stochastic forcing of large amplitude ⋮ A new stepsize change technique for Adams methods ⋮ Jacobian-free Newton-Krylov method for the simulation of non-thermal plasma discharges with high-order time integration and physics-based preconditioning ⋮ An Hermite-Obreschkoff method for stiff high-index DAE ⋮ POSTBUCKLING ANALYSIS OF COMPOSITE SHELL STRUCTURES: TOWARD FAST AND ACCURATE TOOLS WITH IMPLICIT FEM METHODS ⋮ A\(_ 0\)-stability of variable stepsize BDF methods ⋮ Nordsieck methods on nonuniform grids: stability and order reduction phenomenon

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