Analysis of higher order phase fitted variational integrators

DOI10.1007/s10444-015-9436-xzbMath1341.65049OpenAlexW2322847481MaRDI QIDQ295378

Odysseas Kosmas, Sigrid Leyendecker

Publication date: 13 June 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-015-9436-x

zbMATH Keywords

stability analysisnumerical examplesoscillatory solutionsdiscrete variational mechanicsvariational integratorsphase lag analysis

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (7)

Analysis of higher order phase fitted variational integrators ⋮ Variational integrators for orbital problems using frequency estimation ⋮ DiracSolver: a tool for solving the Dirac equation ⋮ Geometric Derivation and Analysis of Multi-Symplectic Numerical Schemes for Differential Equations ⋮ Error analysis through energy minimization and stability properties of exponential integrators ⋮ Geometric derivation and analysis of multi-symplectic numerical schemes for differential equations ⋮ Variational integrators for forced Lagrangian systems based on the local path fitting technique

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