Sökning: "stochastic elliptic equation"
Hittade 5 avhandlingar innehållade orden stochastic elliptic equation.
1. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations
Sammanfattning : The thesis consists of four papers on numerical complexityanalysis of weak approximation of ordinary and partialstochastic differential equations, including illustrativenumerical examples. Here by numerical complexity we mean thecomputational work needed by a numerical method to solve aproblem with a given accuracy. LÄS MER
2. A weak space-time formulation for the linear stochastic heat equation
Sammanfattning : The topic covered in this thesis is the introduction of a new formulation for the linear stochastic heat equation driven by additive noise, based on the space-time variational formulation for its deterministic counterpart. Having a variational formulation allows the use of the so called inf-sup theory in order to obtain results of existence and uniqueness in a relatively simple way. LÄS MER
3. Adaptivity for Stochastic and Partial Differential Equations with Applications to Phase Transformations
Sammanfattning : his work is concentrated on efforts to efficiently compute properties of systems, modelled by differential equations, involving multiple scales. Goal oriented adaptivity is the common approach to all the treated problems. LÄS MER
4. Models for coupled active-passive population dynamics : Mathematical analysis and simulation
Sammanfattning : In this dissertation, we study models for coupled active--passive pedestrian dynamics from mathematical analysis and simulation perspectives. The general aim is to contribute to a better understanding of complex pedestrian flows. LÄS MER
5. Partial differential equations and systems related to Morrey spaces
Sammanfattning : This PhD thesis deals with the study of well posedness, existence and regularity properties of solutions of partial differential equations and systems. Preparatory to the study of partial differential equations is the action of some integral operators, that are extensively used. LÄS MER