Construction and analysis of explicit adaptive one-step methods for solving stiff problems

DOI10.1134/S0965542520070106zbMath1451.65084OpenAlexW3047684919MaRDI QIDQ2207616

L. M. Skvortsov

Publication date: 23 October 2020

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

Full work available at URL: https://doi.org/10.1134/s0965542520070106

zbMATH Keywords

ordinary differential equationsstiff Cauchy problemexplicit adaptive methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Uses Software

• Matlab
• RKC
• RODAS
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite
• MVTU

Cites Work

• A 3(2) pair of Runge-Kutta formulas
• Rational Runge-Kutta methods for solving systems of ordinary differential equations
• Adaptive methods for numerical integration in problems of dynamical system simulation
• Explicit adaptive Runge-Kutta methods for stiff and oscillation problems
• Explicit stabilized Runge-Kutta methods
• The MATLAB ODE Suite
• Explicit multistep method for the numerical solution of stiff differential equations
• A Numerical Integration Technique for Ordinary Differential Equations with Widely Separated Eigenvalues
• Integration of Stiff Equations
• Explicit Runge-Kutta methods for parabolic partial differential equations
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