Sökning: "PDE"
Visar resultat 21 - 25 av 123 avhandlingar innehållade ordet PDE.
21. Construction and Analysis of Preconditioners for First-order PDE
Sammanfattning : .... LÄS MER
22. Infinite dimensional holomorphy in the ring of formal power series : partial differential operators
Sammanfattning : We study holomorphy in the ring of formal power series in an infinite number of variables. Thus we restrict our study to (infinite dimensional) holomorphy on sequence spaces and we show that we obtain a rich theory without requiring any topological structure on the domain space. We make a comprehensive PDO-study for the spaces under consideration. LÄS MER
23. Model Reduction and Parameter Estimation for Diffusion Systems
Sammanfattning : Diffusion is a phenomenon in which particles move from regions of higher density to regions of lower density. Many physical systems, in fields as diverse as plant biology and finance, are known to involve diffusion phenomena. Typically, diffusion systems are modeled by partial differential equations (PDEs), which include certain parameters. LÄS MER
24. Some Applications of Variational Inequalities in Mathematical Finance and Numerics
Sammanfattning : This thesis contains two parts. The first part deals with a stochastic impulse control problem, subject to the restriction of a minimum time lapse in between interventions made by the controller. We prove existence of an optimal control and show that the value function of the control problem satisfies a system of quasi-variational inequalities. LÄS MER
25. Valuation and Optimal Strategies in Markets Experiencing Shocks
Sammanfattning : This thesis treats a range of stochastic methods with various applications, most notably in finance. It is comprised of five articles, and a summary of the key concepts and results these are built on.The first two papers consider a jump-to-default model, which is a model where some quantity, e.g. LÄS MER