The error behaviour of a general class of predictor-corrector methods

DOI10.1016/0168-9274(91)90052-2zbMath0743.65064OpenAlexW2061866276MaRDI QIDQ1181524

Kevin Burrage

Publication date: 27 June 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90052-2

zbMATH Keywords

stabilityparallel computationButcher seriesorder conditionsnonstiff problemsdiscretization errorblock methodsblock multivalue methodblock predictor-corrector method

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

Preconditioning in implicit initial-value problem methods on parallel computers, Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems, Parallel iteration schemes for implicit ODEIVP methods, Parallel methods for initial value problems, Parallel step-by-step methods, The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs, Efficient block predictor-corrector methods with a small number of corrections, Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations, CWI contributions to the development of parallel Runge-Kutta methods, An analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values, Parallel block predictor-corrector methods of Runge-Kutta type

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