Search for dissertations about: "thesis on differential equation"
Showing result 1  5 of 163 swedish dissertations containing the words thesis on differential equation.

1. On weak and strong convergence of numerical approximations of stochastic partial differential equations
University dissertation from Chalmers University of TechnologyAbstract : This thesis is concerned with numerical approximation of linear stochastic partial differential equations driven by additive noise. In the first part, we develop a framework for the analysis of weak convergence and within this framework we analyze the stochastic heat equation, the stochastic wave equation, and the linearized stochastic CahnHilliard, or the linearized CahnHilliardCook equation. READ MORE

2. A Study of Smooth Functions and Differential Equations on Fractals
University dissertation from Uppsala : Matematiska institutionenAbstract : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpi?ski gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. READ MORE

3. On computational methods for nonlinear estimation
University dissertation from Linköping, Sweden : Linköping UniversityAbstract : The Bayesian approach provides a rather powerful framework for handling nonlinear, as well as linear, estimation problems. We can in fact pose a general solution to the nonlinear estimation problem. However, in the general case there does not exist any closedform solution and we are forced to use approximate techniques. READ MORE

4. Symmetries and conservation laws
University dissertation from Växjö : Växjö university pressAbstract : Conservation laws play an important role in science. The aim of this thesis is to provide an overview and develop new methods for constructing conservation laws using Lie group theory. The derivation of conservation laws for invariant variational problems is based on Noether’s theorem. READ MORE

5. On the discretization in time and space of parabolic integrodifferential equations
University dissertation from Chalmers University of TechnologyAbstract : .... READ MORE