Search for dissertations about: "Geometric methods"

Showing result 1 - 5 of 243 swedish dissertations containing the words Geometric methods.

2. 1. Geometric Methods for some Nonlinear Wave Equations

   Author : Jonatan Lenells; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Natural science; Geodesic flow; Nonlinear wave equations; Geometric methods; Naturvetenskap;

   Abstract : A number of results related to the geometric interpretation of some dispersive nonlinear wave equations are presented. It is first described how some well-known shallow water equations arise geometrically as Euler equations for the geodesic flow on the Virasoro group endowed with certain right-invariant metrics. READ MORE

4. 2. Geometric control methods for nonlinear systems and robotic applications

   Author : Claudio Altafini; KTH; []
   Keywords : Geometric control; Differential geometric methods; Nonlinear control systems; Control of mechanical systems; Robot dynamics and control; Lie groups; Variational problems; Group symmetry; Reachability; Switching systems;

   Abstract : .... READ MORE

5. 3. Spectral Estimation by Geometric, Topological and Optimization Methods

   Author : Per Enqvist; KTH; []
   Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Spectral Estimation; ARMA models; Covariance analysis; Cepstral analysis; Markov parameters; Global analysis; Convex Optimization; Continuation methods; Entropy maximization; Optimization; systems theory; Optimeringslära; systemteori;

   Abstract : .... READ MORE

6. 4. Symplectic methods for isospectral flows and 2D ideal hydrodynamics

   Author : Milo Viviani; Chalmers University of Technology; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Structure preserving algorithms; Symplectic methods; Isospectral flows; Integrability theory; Fluid dynamics; Geometric integration; Lie--Possion systems; Hamiltonian systems; Euler equations;

   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

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

   Author : Milo Viviani; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   Keywords : 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