Sökning: "Geometric methods"

Visar resultat 1 - 5 av 273 avhandlingar innehållade orden Geometric methods.

1. 1. Geometric Methods for some Nonlinear Wave Equations

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

   Sammanfattning : 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. LÄS MER

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

   Författare :Claudio Altafini; KTH; []
   Nyckelord :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;

   Sammanfattning : .... LÄS MER

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

   Författare :Per Enqvist; KTH; []
   Nyckelord :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;

   Sammanfattning : .... LÄS MER

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

   Författare :Milo Viviani; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; Symplectic methods; Fluid dynamics; Integrability theory; Euler equations; Lie--Possion systems; Isospectral flows; Geometric integration; Structure preserving algorithms; Hamiltonian systems;

   Sammanfattning : 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. LÄS MER

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

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

   Sammanfattning : 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. LÄS MER