Are high order variable step equistage initializers better than standard starting algorithms?

DOI10.1016/j.cam.2003.12.018zbMath1059.65069OpenAlexW1969857982MaRDI QIDQ1877181

M. P. Calvo, A. M. Portillo

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.018

zbMATH Keywords

comparison of methodsnumerical resultsstarting algorithmsRADAUSvariable 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

Initializers for RK-Gauss methods based on pseudo-symplecticity ⋮ An efficient scheme for the implementation of implicit Runge-Kutta methods ⋮ Stage value predictors for additive and partitioned Runge-Kutta methods

Uses Software

• RODAS

Cites Work

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• Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems
• IRK methods for DAE: Starting algorithms
• High order starting iterates for implicit Runge-Kutta methods: an improvement for variable-step symplectic integrators
• Solving Ordinary Differential Equations I
• Stage Value Predictors and Efficient Newton Iterations in Implicit Runge--Kutta Methods
• Backward Error Analysis for Numerical Integrators

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