Search for dissertations about: "Hamiltonian methods"
Showing result 1 - 5 of 44 swedish dissertations containing the words Hamiltonian methods.
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1. Wave interactions by Hamiltonian methods
Abstract : This thesis is devoted to the description of fluids and gases from a Hamiltonian point of view. The method we apply is a development of the theory invented by Hamilton (1805-1865). The original formulation is restricted to a certain family of dynamical variables; the canonical variables. READ MORE
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2. Symplectic methods for Hamiltonian isospectral flows and 2D incompressible Euler equations on a sphere
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
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3. Symplectic methods for isospectral flows and 2D ideal hydrodynamics
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. READ MORE
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4. Cosmological Models and Singularities in General Relativity
Abstract : This is a thesis on general relativity. It analyzes dynamical properties of Einstein's field equations in cosmology and in the vicinity of spacetime singularities in a number of different situations. READ MORE
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5. Analysis of Adaptive Finite Element Methods
Abstract : This thesis is concerned with the analysis and design of adaptive finite element methods for a variety of differential equations in mechanics and physics, including linear and semilinear elliptic equations, eigenvalue problems, the stationary Navier-Stokes equations, and Hamiltonian systems. The analysis focuses on sharp a posteriori error estimates, sharp a priori error estimates, stability properties, and the design of adaptive algorithms. READ MORE