Conjugate symplecticity of second-order linear multi-step methods

DOI10.1016/j.cam.2006.02.042zbMath1124.65060OpenAlexW2002106853MaRDI QIDQ875150

Yan-Dong Jiao, Quan-Dong Feng, Yi-Fa Tang

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.042

zbMATH Keywords

numerical examplecomparison of methodserror boundsdifference schemesHamiltonian systemB-seriesmidpoint methodsymplecticityleap-frog schemetrapezoidal methodconjugate relationEuler forward methodlinear multi-step methodstep transition operator

Mathematics Subject Classification ID

Related Items (1)

Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application of the Levitron

Uses Software

• RODAS

Cites Work

• On quadratic invariants and symplectic structure
• The symplecticity of multi-step methods
• Geodesic flows on compact surfaces -- as an application of Hamiltonian formalism
• A note on symplecticity of step-transition mappings for multi-step methods
• Solving Ordinary Differential Equations I
• Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods
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