Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems

DOI10.1137/0912069zbMath0738.65072OpenAlexW1983434904MaRDI QIDQ3982105

Donald J. Estep, Luca Dieci

Publication date: 26 June 1992

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0912069

zbMATH Keywords

stabilityadaptive methodsmethod of linesdiscontinuous Galerkin methoderror controltrapezoidal rulesuperstabilitybackward differentiation formulasstiff initial value problemcase studiesadaptive integrationbackward Euler formulas

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multiple scale methods for ordinary differential equations (34E13)

Related Items (3)

A-stable, explicit method for solving stiff problems in science and engineering ⋮ Euler-like discrete models of the logistic differential equation ⋮ On Spurious Behavior of Super-Stable Implicit Methods

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