SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Approximation of Hamiltonian systems using a variational approach

S. Amat, M.J. Legaz and P. Pedregal

Abstract
Hamiltonian systems are related with numerous areas of mathematics and have a lot of application branches, such as classical and quantum mechanics, statistics, optical, astronomy, molecular dynamics, plasma physics, etc. In general, the integration of these systems needs the use of geometric integrators. In this talk, we introduce a new variational approach for models which are formulated naturally as conservative systems of ODEs, most importantly Hamiltonian systems. Our variational method for Hamiltonian systems, which is proposed here, is in some sense symplectic and energy preserving. We analyze the new approach both theoretically and numerically.

Organized by         Universidad de Valladolid     IMUVA