Sökning: "Numerical approximation"
Visar resultat 1 - 5 av 284 avhandlingar innehållade orden Numerical approximation.
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. Analytical Approximation of Contingent Claims
Sammanfattning : This PhD thesis consists of three separate papers. The common theme is methods to calculate analytical approximations for prices of different contingent claims under various model assumptions. The first two papers deals with approximations of standard European options in stochastic volatility models. LÄS MER
3. Approximation Algorithms for Geometric Networks
Sammanfattning : The main contribution of this thesis is approximation algorithms for several computational geometry problems. The underlying structure for most of the problems studied is a geometric network. LÄS MER
4. Numerical analysis for random processes and fields and related design problems
Sammanfattning : In this thesis, we study numerical analysis for random processes and fields. We investigate the behavior of the approximation accuracy for specific linear methods based on a finite number of observations. Furthermore, we propose techniques for optimizing performance of the methods for particular classes of random functions. LÄS MER
5. Contributions to Numerical Solution of Stochastic Differential Equations
Sammanfattning : 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. LÄS MER