Stage Value Predictors and Efficient Newton Iterations in Implicit Runge--Kutta Methods

DOI10.1137/S1064827596306963zbMath0914.65078OpenAlexW2086430326MaRDI QIDQ4210409

Gustaf Söderlind, Hans Olsson

Publication date: 21 September 1998

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827596306963

zbMATH Keywords

performanceconvergenceimplicit Runge-Kutta methodsstepsize controlpredictorsNewton iterationssystems of differential-algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Complexity and performance of numerical algorithms (65Y20) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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