Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems

DOI10.1016/S0168-9274(02)00137-XzbMath1020.65038OpenAlexW2059143358MaRDI QIDQ1861976

S. González-Pinto, S. Pérez-Rodríguez, Juan I. Montijano

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00137-x

zbMATH Keywords

numerical experimentsimplicit Runge-Kutta methodsNewton schemesstiff initial value problemsstarting algorithms

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

Efficient iterations for Gauss methods on second-order problems, Are high order variable step equistage initializers better than standard starting algorithms?, A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto-Sivashinsky equations, An efficient scheme for the implementation of implicit Runge-Kutta methods, An improved approximate Newton method for implicit Runge-Kutta formulas, Speeding up Newton-type iterations for stiff problems, Stage value predictors for additive and partitioned Runge-Kutta methods

Uses Software

• NSDTST
• STDTST

Cites Work

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