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Showing result 1 - 5 of 103 swedish dissertations matching the above criteria.
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1. 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
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2. Mathematical Tools Applied in Computational Electromagnetics for a Biomedical Application and Antenna Analysis
Abstract : To ensure a high level of safety and reliability of electronic/electric systems EMC (electromagnetic compatibility) tests together with computational techniques are used. In this thesis, mathematical modeling and computational electromagnetics are applied to mainly two case studies. READ MORE
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3. Approximating Stochastic Partial Differential Equations with Finite Elements: Computation and Analysis
Abstract : Stochastic partial differential equations (SPDE) must be approximated in space and time to allow for the simulation of their solutions. In this thesis fully discrete approximations of such equations are considered, with an emphasis on finite element methods combined with rational semigroup approximations. READ MORE
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4. Numerical Conformal Mappings for Regions Bounded by Smooth Curves
Abstract : In many applications, conformal mappings are used to transform twodimensional regions into simpler ones. One such region for which conformal mappings are needed is a channel bounded by continuously differentiable curves. READ MORE
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5. On finite element schemes for Vlasov-Maxwell system and Schrödinger equation
Abstract : This thesis treats finite element schemes for two kind of problems, the Valsov-Maxwellsystem and the nonlinear Schrödinger equation. We study streamline diffusion schemes applied for numerical solution of the one and one-half dimensional relativistic Vlasov-Maxwell system. The study is made both in a priori and a posteriori settings. READ MORE