Sökning: "Applied mathematics"

Visar resultat 1 - 5 av 465 avhandlingar innehållade orden Applied mathematics.

1. 1. Selected Topics in Partial Differential Equations

   Författare :Mattias Enstedt; Michael Melgaard; William Desmond Evans; Uppsala universitet; []
   Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; MATHEMATICS; MATEMATIK; Applied mathematics; Tillämpad matematik;

   Sammanfattning : 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. LÄS MER

3. 2. Nelson-type Limits for α-Stable Lévy Processes

   Författare :Haidar Al-Talibi; Astrid Hilbert; Francesco Russo; Linnéuniversitetet; []
   Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Ornstein-Uhlenbeck position process; α-stable Lévy noise; scaling limits; time change; stochastic Newton equations; Mathematical statistics; Matematisk statistik; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

   Sammanfattning : 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. LÄS MER

4. 3. Extreme points of the Vandermonde determinant in numerical approximation, random matrix theory and financial mathematics

   Författare :Asaph Keikara Muhumuza; Sergei Silvestrov; Anatoliy Malyarenko; Karl Lundengård; Milica Rancic; Olga Liivapuu; Mälardalens högskola; []
   Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : 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. LÄS MER

5. 4. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

   Författare :Karl Lundengård; Sergei Silvestrov; Dietrich von Rosen; Mälardalens högskola; []
   Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : 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. LÄS MER

7. 5. Regularization of Parameter Problems for Dynamic Beam Models

   Författare :Sara Rydström; Börje Nilsson; Fredrik Berntsson; Linnéuniversitetet; []
   Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Euler-Bernoulli beam equation; parameter identification; bending stiffness; refractive index; Tikhonov regularization; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

   Sammanfattning : 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 non-linear and ill-posed models it is a very difficult problem to solve. LÄS MER