Geometric integrators for piecewise smooth Hamiltonian systems

DOI10.1051/m2an:2008006zbMath1145.65110OpenAlexW2169240659MaRDI QIDQ5458112

Erwan Faou, Philippe Chartier

Publication date: 11 April 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194405

zbMATH Keywords

convergenceHamiltonian systemsgeometric integratorB-splinessplitting methodweak ordersymplecticityenergy-preservationvolume-preservation

Mathematics Subject Classification ID

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

Related Items

Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation

Cites Work

• Important aspects of geometric numerical integration
• Ordinary differential equations, transport theory and Sobolev spaces
• A Gautschi-type method for oscillatory second-order differential equations
• Geometric integration of conservative polynomial ODEs
• Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications
• A Time-Reversible, Regularized, Switching Integrator for the N-Body Problem
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