On the Preservation of Invariants by Explicit Runge--Kutta Methods

DOI10.1137/04061979XzbMath1118.65085OpenAlexW2049888254MaRDI QIDQ3440193

Manuel Calvo, D. Hernández-Abreu, Luis Rández, Juan I. Montijano

Publication date: 22 May 2007

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

Full work available at URL: https://doi.org/10.1137/04061979x

zbMATH Keywords

numerical integration numerical experiments initial-value problems variable step-size codes preservation of invariants Dormand-Prince code

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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