Search for dissertations about: "Weak convergence"

Showing result 1 - 5 of 53 swedish dissertations containing the words Weak convergence.

  1. 1. Selected Topics in Homogenization

    Author : Jens Persson; Anders Holmbom; Liselott Flodén; Marianne Olsson Lindberg; Mårten Gulliksson; Peter Wall; Mittuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; homogenization theory; H-convergence; two-scale convergence; very weak two-scale convergence; multiscale convergence; very weak multiscale convergence; evolution-multiscale convergence; very weak evolution-multiscale convergence; λ-scale convergence; non-periodic linear elliptic problems; evolution-multiscale linear parabolic problems; evolution-multiscale monotone parabolic problems; detection of scales of heterogeneity;

    Abstract : The main focus of the present thesis is on the homogenization of some selected elliptic and parabolic problems. More precisely, we homogenize: non-periodic linear elliptic problems in two dimensions exhibiting a homothetic scaling property; two types of evolution-multiscale linear parabolic problems, one having two spatial and two temporal microscopic scales where the latter ones are given in terms of a two-parameter family, and one having two spatial and three temporal microscopic scales that are fixed power functions; and, finally, evolution-multiscale monotone parabolic problems with one spatial and an arbitrary number of temporal microscopic scales that are not restricted to be given in terms of power functions. READ MORE

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

    Author : Fredrik Lindgren; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : 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; 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

  3. 3. Weak Convergence of First-Rare-Event Times for Semi-Markov Processes

    Author : Myroslav Drozdenko; Dmitrii Silvestrov; Raimondo Manca; Mälardalens högskola; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; weak convergence; first-rare-event times; semi-Markov processes; Mathematical statistics; Matematisk statistik; Matematik tillämpad matematik;

    Abstract : I denna avhandling studerar vi nödvändiga och tillräckliga villkor för svag konvergens av första-sällan-händelsetider för semi-Markovska processer.I introduktionen ger vi nödvändiga grundläggande definitioner och beskrivningar av modeller som betraktas i avhandlingen, samt ger några exempel på situationer i vilka metoder av första-sällan-händelsetider kan vara lämpliga att använda. READ MORE

  4. 4. Two Problems on Existence and Approximation Related to the Boltzmann Equation

    Author : Vladislav Panferov; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : Boltzmann equation; Povzner type models; diffuse reflection; discrete-velocity models; existence for large data; weak compactness; consistency; convergence; diffuse reflection;

    Abstract : In this thesis, two different types of problems related to the Boltzmann equation of kinetic theory are studied. The first part is devoted to establishing consistency and convergence for discrete-velocity models of the Boltzmann equation. For a new such model, introduced by the author jointly with A. READ MORE

  5. 5. G-Convergence and Homogenization of some Monotone Operators

    Author : Marianne Olsson; Anders Holmbom; Nils Svanstedt; Mårten Gulliksson; Jan Françu; Mittuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; G-convergence; homogenization; two-scale convergence; MATHEMATICS; MATEMATIK;

    Abstract : In this thesis we investigate some partial differential equations with respect to G-convergence and homogenization. We study a few monotone parabolic equations that contain periodic oscillations on several scales, and also some linear elliptic and parabolic problems where there are no periodicity assumptions. READ MORE