Search for dissertations about: "Hyperbolic equation"
Showing result 1 - 5 of 33 swedish dissertations containing the words Hyperbolic equation.
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1. On weak and strong convergence of numerical approximations of stochastic partial differential equations
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
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2. Semi-classical approximations of Quantum Mechanical problems
Abstract : .... READ MORE
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3. Analysis and Applications of the Heterogeneous Multiscale Methods for Multiscale Elliptic and Hyperbolic Partial Differential Equations
Abstract : This thesis concerns the applications and analysis of the Heterogeneous Multiscale methods (HMM) for Multiscale Elliptic and Hyperbolic Partial Differential Equations. We have gathered the main contributions in two papers. READ MORE
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4. Aspects of viscous shocks
Abstract : This thesis consists of an introduction and five papers concerning different numerical and mathematical aspects of viscous shocks. Hyperbolic conservation laws are used to model wave motion and advect- ive transport in a variety of physical applications. READ MORE
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5. Contributions to Numerical Solution of Stochastic Differential Equations
Abstract : This thesis consists of four papers: Paper I is an overview of recent techniques in strong numerical solutions of stochastic differential equations, driven by Wiener processes, that have appeared the last then 10 years, or so. Paper II studies theoretical and numerical aspects of stochastic differential equations with so called volatility induced stationarity. READ MORE