Starting algorithms for low stage order RKN methods

DOI10.1016/S0377-0427(01)00479-4zbMath0999.65069OpenAlexW2038505445MaRDI QIDQ1602784

R. Smith

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00479-4

zbMATH Keywords

nonlinear systemsorder conditionsiterative schemesstarting algorithms

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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)

Related Items (2)

Are high order variable step equistage initializers better than standard starting algorithms? ⋮ Stage value predictors for additive and partitioned Runge-Kutta methods

Uses Software

• RODAS

Cites Work

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• Runge-Kutta-Nyström-type parallel block predictor-corrector methods
• Starting algorithms for implicit Runge-Kutta-Nyström methods
• IRK methods for index 2 and 3 DAEs: Starting algorithms
• On the starting algorithms for fully implicit Runge-Kutta methods
• IRK methods for DAE: Starting algorithms
• Two-stage and Three-stage Diagonally Implicit Runge-Kutta Nyström Methods of Orders Three and Four
• Stage Value Predictors and Efficient Newton Iterations in Implicit Runge--Kutta Methods

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