Search for dissertations about: "backward Euler method"
Showing result 1 - 5 of 9 swedish dissertations containing the words backward Euler method.
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1. On Numerical Methods for the Diffusion Equation Subject to Non-Local Boundary Conditions
Abstract : In the first paper three different finite difference methods for solving the heat equation in one space dimension with boundary conditions containing integrals over the interior of the interval are considered. The schemes are based on the forward Euler, the backward Euler and the Crank-Nicolson methods. Error estimates are derived in maximum norm. READ MORE
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2. Finite element approximation of the linear stochastic Cahn-Hilliard equation
Abstract : The linearized Cahn-Hilliard-Cook equation is discretized in the spatial variables by a standard finite element method. Strong convergence estimates are proved under suitable assumptions on the covariance operator of the Wiener process, which is driving the equation. The backward Euler time stepping is also studied. READ MORE
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3. On weak convergence, Malliavin calculus and 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
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4. Models for capturing the penetration of a diffusant concentration into rubber : Numerical analysis and simulation
Abstract : Understanding the transport of diffusants into rubber plays an important role in forecasting the material's durability. In this regard, we study different models, conduct numerical analysis, and present simulation results that predict the evolution of the penetration front of diffusants. READ MORE
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5. A moving boundary problem for capturing the penetration of diffusant concentration into rubbers : Modeling, simulation and analysis
Abstract : We propose a moving-boundary scenario to model the penetration of diffusants into rubbers. Immobilizing the moving boundary by using the well-known Landau transformation transforms the original governing equations into new equations posed in a fixed domain. READ MORE