On the implementation of ESIRK methods for stiff IVPs

DOI10.1023/A:1016607621405zbMath0974.65075MaRDI QIDQ5934376

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

Publication date: 19 June 2001

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

predictorerror estimatesnumerical experimentsstiff problemsvariable stepsizeeffective ordersingly-implicit Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (4)

Adapted BDF algorithms: Higher-order methods and their stability ⋮ An efficient scheme for the implementation of implicit Runge-Kutta methods ⋮ The efficiency of singly-implicit Runge-Kutta methods for stiff differential equations ⋮ Applications of doubly companion matrices

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