Automatic step size and order control in implicit one-step extrapolation methods

DOI10.1134/s0965542508090066OpenAlexW4234942217MaRDI QIDQ6195852

Ekaterina Yu. Khrustaleva, G. Yu. Kulikov

Publication date: 14 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf109

zbMATH Keywords

Runge-Kutta methodautomatic step size controlcontrol of order in one-step methodsimplicit one-step extrapolation methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• On symmetrizers for Gauss method
• Order and stepsize control in extrapolation methods
• One-leg variable-coefficient formulas for ordinary differential equations and local-global step size control
• Adaptive nested implicit Runge-Kutta formulas of Gauss type
• Thirteen ways to estimate global error
• Numerical investigations on global error estimation for ordinary differential equations
• Generalized symmetric Runge-Kutta methods
• Numerical treatment of ordinary differential equations by extrapolation methods
• Global error estimation and extrapolated multistep methods for index 1 differential-algebraic systems
• Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation
• Automatic step size and order control in explicit one-step extrapolation methods
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations
• A theory of symmetric one-step methods for differential-algebraic equations
• On implicit extrapolation methods for ordinary differential equations
• One–step methods and implicit extrapolation technique for index 1 differential–algebraic systems
• One-leg Integration of Ordinary Differential Equations with Global Error Control
• Asymptotic error estimate for general Newton-type methods and its application to differential equations
• On Extrapolation Algorithms for Ordinary Initial Value Problems
• A special stability problem for linear multistep methods
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Automatic step size and order control in implicit one-step extrapolation methods