Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations

DOI10.1134/S0012266119070012zbMath1433.65120OpenAlexW2968548595WikidataQ127369442 ScholiaQ127369442MaRDI QIDQ2010382

Yanyan Li

Publication date: 27 November 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119070012

zbMATH Keywords

Cauchy problemstiff systemintegral curve curvature criterion

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items

Passage through limiting singular points by applying the method of solution continuation with respect to a parameter in inelastic deformation problems, Numerical integration of a Cauchy problem whose solution has integer-order poles on the real axis, Reciprocal function method for Cauchy problems with first-order poles

Uses Software

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

Cites Work

• Geometrically adaptive grids for stiff Cauchy problems
• A family of embedded Runge-Kutta formulae
• The MATLAB ODE Suite
• Solving Ordinary Differential Equations I
• Some general implicit processes for the numerical solution of differential equations
• The Application of Newton’s Method to the Problem of Elastic Stability
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