Search for dissertations about: "Lie–Possion systems"

Found 1 swedish dissertation containing the words Lie–Possion systems.

  1. 1. Symplectic methods for Hamiltonian isospectral flows and 2D incompressible Euler equations on a sphere

    Author : Milo Viviani; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Fluid dynamics; Symplectic methods; Isospectral flows; Geometric integration; Hamiltonian systems; Structure preserving algorithms; Euler equations; Lie–Possion systems; Fluid dynamics.;

    Abstract : The numerical solution of non-canonical Hamiltonian systems is an active and still growing field of research. At the present time, the biggest challenges concern the realization of structure preserving algorithms for differential equations on infinite dimensional manifolds. Several classical PDEs can indeed be set in this framework. READ MORE