Switching between modified Newton and fix-point iteration for implicit ODE-solvers

DOI10.1007/BF01933714zbMath0602.65052OpenAlexW2030540156MaRDI QIDQ1082046

Syvert P. Nørsett, Per Grove Thomsen

Publication date: 1986

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933714

zbMATH Keywords

numerical examplesstiff systemsNewton iterationfixed point iterationswitching strategyautomatic switching

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability ⋮ An adaptive theta method for the solution of stiff and nonstiff differential equations ⋮ Runge-Kutta research in Trondheim ⋮ A robust numerical method for granular hydrodynamics in three dimensions

Cites Work

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• Embedded SDIRK-methods of basic order three
• Type-Insensitive ODE Codes Based on Implicit A-Stable Formulas
• Comparing numerical methods for stiff systems of O.D.E:s
• Some Properties of Algorithms for Stiff Differential Equations
• Comparing Numerical Methods for Ordinary Differential Equations

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