Multi-implicit methods with automatic error control in applications with chemical reactions

DOI10.1134/S0965542519090161OpenAlexW2980925494MaRDI QIDQ2284260

T. A. Vasilyeva, E. I. Vasil'ev

Publication date: 14 January 2020

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

Full work available at URL: https://doi.org/10.1134/s0965542519090161

zbMATH Keywords

A-stabilityL-stabilityautomatic step size controlmulti-implicit methodsstiff systems with chemical kinetics

Mathematics Subject Classification ID

Numerical methods for stiff equations (65L04)

Related Items (1)

Adaptive interpolation algorithm using TT-decomposition for modeling dynamical systems with interval parameters

Cites Work

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• A reconsideration of some embedded Runge-Kutta formulae
• A history of Runge-Kutta methods
• Implicit Runge-Kutta Methods with a Global Error Estimation for Stiff Differential Equations
• Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
• Families of Imbedded Runge–Kutta Methods
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations

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