Sökning: "Hyperbolic"
Visar resultat 16 - 20 av 115 avhandlingar innehållade ordet Hyperbolic.
16. Continuum Percolation in non-Euclidean Spaces
Sammanfattning : In this thesis we first consider the Poisson Boolean model of continuum percolation in $n$-dimensional hyperbolic space ${\mathbb H}^n$. Let $R$ be the radius of the balls in the model, and $\lambda$ the intensity of the underlying Poisson process. LÄS MER
17. Asymptotic Problems on Homogeneous Spaces
Sammanfattning : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. LÄS MER
18. High-Order Difference Approximations for Hyperbolic Initial Boundary Value Problems
Sammanfattning : .... LÄS MER
19. Adaptive Finite Element Methods for Compressible Two-Phase Flow
Sammanfattning : In this thesis we develop, apply and analyse adaptive finite element methods with error control for compressible flow problems, focusing in particular on two-phase flow. The adaptive algorithms, aiming at quantitative error control with efficient use of computational resources, are based on a posteriori error estimates, where the error is estimated in terms of the computed solution, the local mesh-size and certain stability factors. LÄS MER
20. On weak and strong convergence of numerical approximations of stochastic partial differential equations
Sammanfattning : 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. LÄS MER