Search for dissertations about: "weak convergence"

Showing result 6 - 10 of 61 swedish dissertations containing the words weak convergence.

  2. 6. G-Convergence and Homogenization of some Monotone Operators

    Author : Marianne Olsson; Anders Holmbom; Nils Svanstedt; Mårten Gulliksson; Jan Françu; Mittuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; 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

  4. 7. 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

  5. 8. Convergence analysis of domain decomposition methods : Nonlinear elliptic and linear parabolic equations

    Author : Emil Engström; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Nonoverlapping domain decomposition; Steklov--Poincaré operator; Robin--Robin method; Convergence; Nonlinear elliptic equation; Space-time;

    Abstract : Domain decomposition methods are widely used tools for solving partial differential equations in parallel. However, despite their long history, there is a lack of rigorous convergence theory for equations with non-symmetric differential operators. This includes both nonlinear elliptic equations and linear parabolic equations. READ MORE

  6. 9. Asymptotics, weak convergence and duality in population genetics

    Author : Martina Favero; Henrik Hult; Alison Etheridge; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis consists of four papers on asymptotic results and stochastic duality for some processes in mathematical population genetics. The focus is on Wright-Fisher diffusions and coalescent processes, which model, respectively, the evolution of frequencies of genetic types and genealogies in a population,and play a key role in inference on genetic data sets. READ MORE

  7. 10. Homogenization of pseudoparabolic reaction-diffusion-mechanics systems : Multiscale modeling, well-posedness and convergence rates

    Author : Arthur J. Vromans; Adrian Muntean; Claudia Timofte; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Reaction-diffusion-mechanics system; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; corrector estimates; vanishing thin domains; Matematik; Mathematics;

    Abstract : In this dissertation, parabolic-pseudoparabolic equations are proposed to couple chemical reactions, diffusion, flow and mechanics in heterogeneous materials using the framework of mixture theory. The weak solvability is obtained in a one dimensional setting for the full system posed in a homogeneous domain - a formulation which we have obtained using the classical mixture theory. READ MORE