Search for dissertations about: "thesis in pde"
Showing result 1 - 5 of 116 swedish dissertations containing the words thesis in pde.
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1. An Object-Oriented Framework for PDE Solvers
Abstract : The issue of how to develop reusable software in scientific computing is addressed. With object-oriented analysis and design, an extendable set of collaborating objects - a framework named COMPOSE - is suggested in the area of "PDE solvers", i.e., programs that numerically solve partial differential equations (PDEs). READ MORE
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2. Superconductivity in the presence of magnetic steps
Abstract : This thesis investigates the distribution of superconductivity in a Type-II planar, bounded, and smooth superconductor submitted to a piecewise-constant magnetic field with a jump discontinuity along smooth curves---the magnetic edge. This discontinuous case has not been treated before in the mathematics literature, where the considered applied magnetic field is usually assumed to be smooth. READ MORE
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3. Valuation and Optimal Strategies in Markets Experiencing Shocks
Abstract : 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. READ MORE
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4. Monotonicity formulas and applications in free boundary problems
Abstract : This thesis consists of three papers devoted to the study of monotonicity formulas and their applications in elliptic and parabolic free boundary problems. The first paper concerns an inhomogeneous parabolic problem. READ MORE
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5. Shape optimization in compressible inviscid flow
Abstract : This thesis describes methods for aerodynamic optimization, including a new derivation of an adjoint method for efficient computation and regularization of the gradient. Also, a general method using different surface parameterizations is presented. READ MORE