On global error control in nested implicit Runge-Kutta methods of the gauss type

DOI10.1134/S1995423911030025zbMath1299.65172OpenAlexW2095046439MaRDI QIDQ5407687

E. B. Kuznetsov, Ekaterina Yu. Khrustaleva, G. Yu. Kulikov

Publication date: 7 April 2014

Published in: Numerical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995423911030025

zbMATH Keywords

numerical experimentsglobal error controlglobal error estimationeffective implementationimplicit Runge-Kutta formulanested implicit schemes of Gauss type

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 (4)

On the choice of a method for integrating the equations of motion of a set of fluid particles ⋮ Efficient implementation of second-order implicit Runge-Kutta methods ⋮ Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems ⋮ Implicit Runge-Kutta methods with explicit internal stages

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