Derivation of symmetric composition constants for symmetric integrators

DOI10.1080/10556780500140664zbMath1082.65070OpenAlexW2066971015MaRDI QIDQ5717545

Mark Sofroniou, Giulia Spaletta

Publication date: 10 January 2006

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780500140664

zbMATH Keywords

numerical examplescomputer algebra systemssplitting methodssymplectic methodsgeometric numerical integrationcomposition methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (16)

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Uses Software

• LAPACK

Cites Work

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• Splitting methods
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• Numerical Optimization
• Order conditions for numerical integrators obtained by composing simpler integrators
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• Composition constants for raising the orders of unconventional schemes for ordinary differential equations
• Explicit Lie-Poisson integration and the Euler equations
• Deterministic Nonperiodic Flow
• On the Construction and Comparison of Difference Schemes

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