Search for dissertations about: "Mathematics Applied Mathematics"
Showing result 1  5 of 441 swedish dissertations containing the words Mathematics Applied Mathematics.

1. Selected Topics in Partial Differential Equations
Abstract : This Ph.D. thesis consists of five papers and an introduction to the main topics of the thesis. In Paper I we give an abstract criteria for existence of multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators. READ MORE

2. Nelsontype Limits for αStable Lévy Processes
Abstract : Brownian motion has met growing interest in mathematics, physics and particularly in finance since it was introduced in the beginning of the twentieth century. Stochastic processes generalizing Brownian motion have influenced many research fields theoretically and practically. READ MORE

3. Extreme points of the Vandermonde determinant in numerical approximation, random matrix theory and financial mathematics
Abstract : This thesis discusses the extreme points of the Vandermonde determinant on various surfaces, their applications in numerical approximation, random matrix theory and financial mathematics. Some mathematical models that employ these extreme points such as curve fitting, data smoothing, experimental design, electrostatics, risk control in finance and method for finding the extreme points on certain surfaces are demonstrated. READ MORE

4. Generalized Vandermonde matrices and determinants in electromagnetic compatibility
Abstract : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. READ MORE

5. Regularization of Parameter Problems for Dynamic Beam Models
Abstract : The field of inverse problems is an area in applied mathematics that is of great importance in several scientific and industrial applications. Since an inverse problem is typically founded on nonlinear and illposed models it is a very difficult problem to solve. READ MORE