Efficient iterations for Gauss methods on second-order problems

DOI10.1016/j.cam.2006.05.014zbMath1086.65065OpenAlexW2495047029MaRDI QIDQ818158

S. Pérez-Rodríguez, S. González-Pinto, R. Rojas-Bello

Publication date: 24 March 2006

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.2006.05.014

zbMATH Keywords

numerical experimentssecond-order initial value problemspredictorshigh frequenciesGauss methodsiterative schemessmall amplitudesinitial guessesRunge-Kutta Nyström methodsvariable order strategy

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)

Related Items (4)

Blended implicit methods for solving ODE and DAE problems, and their extension for second-order problems ⋮ Efficient implementation of Radau collocation methods ⋮ Recent advances in linear analysis of convergence for splittings for solving ODE problems ⋮ Accuracy and linear stability of RKN methods for solving second-order stiff problems

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