Search for dissertations about: "Computational Geometry"
Showing result 1 - 5 of 281 swedish dissertations containing the words Computational Geometry.
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1. Topics in Computational Algebraic Geometry and Deformation Quantization
Abstract : This thesis consists of two parts, a first part on computations in algebraic geometry, and a second part on deformation quantization. More specifically, it is a collection of four papers. In the papers I, II and III, we present algorithms and an implementation for the computation of degrees of characteristic classes in algebraic geometry. READ MORE
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2. Topological and geometrical methods in data analysis
Abstract : This thesis concerns two related data analysis pipelines, using topological and geometrical methods respectively, to extract relevant information. The first pipeline, referred to as the topological data analysis (TDA) pipeline, constructs a filtered simplicial complex on a given data set in order to describe its shape. READ MORE
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3. Theoretical and computational advances in small-angle x-ray scattering tensor tomography
Abstract : The relationships between microscopic and macroscopic structures is a central topic of materials physics. Small-angle x-ray scattering (SAXS) is a powerful experimental technique for probing and mapping variations in electron density, given by the reciprocal space map, down to the nanometer scale in two dimensions. READ MORE
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4. Admissible transformations and the group classification of Schrödinger equations
Abstract : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. READ MORE
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5. Vector-valued Eisenstein series of congruence types and their products
Abstract : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. READ MORE
