On variational and symplectic time integrators for Hamiltonian systems

DOI10.1016/j.jcp.2015.11.049zbMath1352.65646OpenAlexW2180505324WikidataQ57949576 ScholiaQ57949576MaRDI QIDQ729346

V. R. Ambati, S. Nurijanyan, E. Gagarina, J. J. W. van der Vegt, Onno Bokhove

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.11.049

zbMATH Keywords

finite element Galerkin methodnonlinear water wavessymplectic time integration(non-)autonomous variational formulation

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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Cites Work

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• Variational space-time (dis)continuous Galerkin method for nonlinear free surface water waves
• General techniques for constructing variational integrators
• Definition and weak stability of nonconservative products
• Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
• Variational Water Wave Modelling: from Continuum to Experiment
• Simulating Hamiltonian Dynamics
• Discrete mechanics and variational integrators
• Discontinuous Polynomial Approximations in the Theory of One-Step, Hybrid and Multistep Methods for Nonlinear Ordinary Differential Equations
• Discontinuous Galerkin Methods for Ordinary Differential Equations
• On Hamilton's principle for surface waves
• Global error control for the continuous Galerkin finite element method for ordinary differential equations
• A unified discontinuous Galerkin framework for time integration
• Geometric Numerical Integration
• A variational principle for a fluid with a free surface
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS

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