Convergence results for general linear methods on singular perturbation problems

DOI10.1007/BF01990542zbMath0795.65045MaRDI QIDQ1317868

Stefan Schneider

Publication date: 12 September 1994

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergencegeneral linear methodssingular perturbation problems\(A\)- stability

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Order reduction phenomenon for general linear methods ⋮ Convergence results of two-step W-methods for two-parameter singular perturbation problems ⋮ Convergence of general linear methods on differential-algebraic systems of index 3 ⋮ Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations ⋮ Convergence results for implicit-explicit general linear methods ⋮ Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays. ⋮ Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems ⋮ Convergence of linear multistep methods for two-parameter singular perturbation problems ⋮ Implicit parallel peer methods for stiff initial value problems ⋮ Error of one-leg methods for singular perturbation problems with delays ⋮ Convergence of parallel multistep hybrid methods for singular perturbation problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Uses Software

• RODAS

Cites Work

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