Search for dissertations about: "Differential Geometric Methods"

Showing result 1 - 5 of 21 swedish dissertations containing the words Differential Geometric Methods.

  2. 1. 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

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

    Author : Milo Viviani; Chalmers tekniska högskola; []
    Keywords : 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;

    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

  5. 3. Variational Methods for Moments of Solutions to Stochastic Differential Equations

    Author : Kristin Kirchner; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Additive and multiplicative noise; Stochastic partial differential equation; Projective and injective tensor product space; Hilbert tensor product space; Space-time variational problem; Petrov-Galerkin discretization; Stochastic ordinary differential equation;

    Abstract : Numerical methods for stochastic differential equations typically estimate moments of the solution from sampled paths. Instead, we pursue the approach proposed by A. Lang, S. Larsson, and Ch. READ MORE

  6. 4. Exponential integrators for stochastic partial differential equations

    Author : Rikard Anton; David Cohen; Christian Engström; Stig Larsson; Annika Lang; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Stochastic partial differential equations; numerical methods; stochastic exponential integrator; strong convergence; trace formulas;

    Abstract : Stochastic partial differential equations (SPDEs) have during the past decades become an important tool for modeling systems which are influenced by randomness. Because of the complex nature of SPDEs, knowledge of efficient numerical methods with good convergence and geometric properties is of considerable importance. READ MORE

  7. 5. 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