Search for dissertations about: "discrete geometry"
Showing result 1 - 5 of 64 swedish dissertations containing the words discrete geometry.
-
1. 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
-
2. 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
-
3. Digital Geometry, Combinatorics, and Discrete Optimization
Abstract : This thesis consists of two parts: digital geometry and discrete optimization. In the first part we study the structure of digital straight line segments. We also study digital curves from a combinatorial point of view. READ MORE
-
4. 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
-
5. Prestress and its application to shell, fabric, and cable net structures
Abstract : Prestressing and shells provide means to create material-efficient and well-functioning structures, as do their combination, offering opportunities for increased material efficiency within the built environment. Prestressing introduces stresses in an object to enhance its performance, and shells include concrete shells, masonry vaults, fabric structures, cable nets, and timber or steel gridshells. READ MORE