Search for dissertations about: "Euler equations"

Showing result 1 - 5 of 81 swedish dissertations containing the words Euler equations.

  2. 1. Group theoretical methods for solving multidimensional nonlinear partial differential equations

    Author : Marianna Euler; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : New methods for constructing both exact and approximate solutions of multidimensional nonlinear partial differential equations are developed. The basis of the methods is taken from the classical Lie transformation group theory. READ MORE

  4. 2. 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

  5. 3. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions

    Author : Adam Andersson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Stochastic evolution equations; stochastic Volterra equations; weak approximation; Kolmogorov equations in infinite dimensions; Malliavin calculus; finite element method; backward Euler method; Kolmogorov equations in infinite dimensions;

    Abstract : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. READ MORE

  6. 4. The Skorohod problem and weak approximation of stochastic differential equations in time-dependent domains

    Author : Thomas Önskog; Kaj Nyström; Leif Persson; Johan Tysk; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Skorohod problem; weak approximation; time-dependent domain; stochastic differential equations; parabolic partial differential equations; oblique reflection; stopped diffusions; Euler scheme; adaptive methods; sensitivity analysis; financial derivatives; Greeks ; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Abstract : This thesis consists of a summary and four scientific articles. All four articles consider various aspects of stochastic differential equations and the purpose of the summary is to provide an introduction to this subject and to supply the notions required in order to fully understand the articles. READ MORE

  7. 5. Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations

    Author : Oswald Fogelklou; Warwick Tucker; Gunilla Kreiss; Piotr Zgliczynski; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; computer-assisted proof; numerical verification; viscous Burgers’ equation; enclosure; existence; nonlinear boundary value problems; Euler equations; inverse problem; bicubic spline; interval analysis; heat equation; fluid limit; peer-to-peer networks; fixed points; stability; global stability; Mathematics; Matematik;

    Abstract : This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. READ MORE