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Showing 1 to 3 of 3 for “"Hamiltonian PDEs"”.
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Geometric Integrators for Hamiltonian PDEs
… of algorithms for a class of time-dependent PDEs with Hamiltonian structure. These systems possess phase space geometry and constants of the motion that need to be preserved by the integration algorithm to reflect the qualitative features of the system.</p> <p>We exploit the structure of …
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NORMAL FORM METHODS FOR SOME NON LINEAR HAMILTONIAN PDES IN HIGHER DIMENSION
… deals with perturbation theory for non-linear Hamiltonian partial differential equations on high dimensional compact manifolds. In particular, we prove almost global existence for some PDEs of general interest and we provide a suitable algebraic and geometric framework. Proofs are based on …
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Multi-Symplectic Integrators for Nonlinear Wave Equations
<p>Symplectic (area-preserving) integrators for Hamiltonian ordinary differential equations have shown to be robust, efficient and accurate in long-term calculations. In this thesis, we show how symplectic integrators have a natural generalization to Hamiltonian PDEs by introducing the concept of …