Relaxed Newton-like methods for stiff differential systems

DOI10.1016/0377-0427(86)90176-7zbMath0621.65073OpenAlexW2066486664MaRDI QIDQ1090081

Tjalling J. Ypma

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90176-7

zbMATH Keywords

convergencepartitioningNewton's methoddampingrelaxationstiff systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

The Modified Newton Method in the Solution of Stiff Ordinary Differential Equations

Cites Work

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• Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure
• An implementation of singly-implicit Runge-Kutta methods
• Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
• On the Use of Sparse Matrix Approximation to the Jacobian in Integrating Large Sets of Ordinary Differential Equations
• Numerical Integration of Systems of Stiff Ordinary Differential Equations with Special Structure
• Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations

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