Numerical experiments with a multistep Radau method

DOI10.1007/BF01989754zbMath0783.65067MaRDI QIDQ688641

Stefan Schneider

Publication date: 17 March 1994

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

performancenumerical experimentsmultistep collocation methodsmultistep one-stage backward differentiation formula methodsmultistep Radau methodone-step implicit Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (2)

Convergence of general linear methods on differential-algebraic systems of index 3 ⋮ Convergence results for general linear methods on singular perturbation problems

Uses Software

• RODAS

Cites Work

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• The stability function for multistep collocation methods
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Local error estimation for multistep collocation methods
• Superconvergence for Multistep Collocation
• An implementation of singly-implicit Runge-Kutta methods
• Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
• Comparing numerical methods for stiff systems of O.D.E:s
• On the implementation of implicit Runge-Kutta methods
• An Efficient Solution Process for Implicit Runge–Kutta Methods

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