ESIRK methods and variable stepsize

DOI10.1016/S0168-9274(98)00076-2zbMath0927.65096OpenAlexW2002894026MaRDI QIDQ1294524

D. J. L. Chen, John C. Butcher

Publication date: 25 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00076-2

zbMATH Keywords

stabilityerror boundsvariable stepsizeeffective ordersingly 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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

The efficiency of singly-implicit Runge-Kutta methods for stiff differential equations ⋮ Applications of doubly companion matrices ⋮ PRACTICAL RUNGE–KUTTA METHODS FOR SCIENTIFIC COMPUTATION

Cites Work

• A generalization of singly-implicit Runge-Kutta methods
• The effective order of singly-implicit Runge-Kutta methods
• Unnamed Item

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