Search for dissertations about: "thesis on differential equation"

Showing result 1 - 5 of 150 swedish dissertations containing the words thesis on differential equation.

  1. 1. On weak and strong convergence of numerical approximations of stochastic partial differential equations

    University dissertation from Chalmers University of Technology

    Author : Fredrik Lindgren; Chalmers tekniska högskola Göteborgs universitet.; Chalmers University of Technology University of Gothenburg.; [2012]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Additive noise; Cahn-Hilliard-Cook equation; Error estimate; Finite element; Hyperbolic equation; Parabolic equation; Rational approximation; Stochastic partial differential equation; Strong convergence; Truncation; Wiener process; Weak convergence;

    Abstract : 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 Cahn-Hilliard, or the linearized Cahn-Hilliard-Cook equation. READ MORE

  2. 2. A Study of Smooth Functions and Differential Equations on Fractals

    University dissertation from Uppsala : Matematiska institutionen

    Author : Anders Pelander; Uppsala universitet.; [2007]
    Keywords : Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

    Abstract : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński 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. 3. On computational methods for nonlinear estimation

    University dissertation from Linköping, Sweden : Linköping University

    Author : Thomas Schön; Linköpings universitet.; Linköpings universitet.; [2003]
    Keywords : Engineering and Technology; Teknik och teknologier; Nonlinear estimation; Particle filter; Kalman filter; System identification; Convex optimization; Differential-algebraic equation; TECHNOLOGY; TEKNIKVETENSKAP;

    Abstract : 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 closed-form solution and we are forced to use approximate techniques. READ MORE

  4. 4. On the discretization in time and space of parabolic integro-differential equations

    University dissertation from Chalmers University of Technology

    Author : Nai-Ying Zhang; Chalmers tekniska högskola Göteborgs universitet.; Chalmers University of Technology University of Gothenburg.; [1990]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; initial-boundary value problem; parabolic; partial; integro-differential equation; regularity; nonsmooth initial data; finite element method; fully discrete; Galerkin approximation; stability; error estimate; quadrature;

    Abstract : .... READ MORE

  5. 5. Tools for Control System Design : Stratification of Matrix Pairs and Periodic Riccati Differential Equation Solvers

    University dissertation from Umeå : Print & Media, Umeå universitet

    Author : Stefan Johansson; Umeå universitet.; [2009]
    Keywords : Natural Sciences Computer and Information Science Computer Science; Naturvetenskap Data- och informationsvetenskap Datavetenskap datalogi ; control system design; stratification; controllability; observability; matrix pair; canonical forms; linear quadratic regulator; periodic systems; periodic Riccati differential equation; TECHNOLOGY Information technology Computer science; TEKNIKVETENSKAP Informationsteknik Datavetenskap; Numerical Analysis; numerisk analys;

    Abstract : Modern control theory is today an interdisciplinary area of research. Just as much as this can be problematic, it also provides a rich research environment where practice and theory meet. This Thesis is conducted in the borderline between computing science (numerical analysis) and applied control theory. READ MORE