Search for dissertations about: "duality mathematics"

Showing result 1 - 5 of 57 swedish dissertations containing the words duality mathematics.

  2. 1. Duality-based adaptive finite element methods with application to time-dependent problems

    Author : August Johansson; Mats G. Larson; Paul Houston; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element methods; dual-weighted residual method; multiphysics; a posteriori error estimation; adaptive algorithms; discontinuous Galerkin; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Abstract : To simulate real world problems modeled by differential equations, it is often not sufficient to  consider and tackle a single equation. Rather, complex phenomena are modeled by several partial dierential equations that are coupled to each other. READ MORE

  4. 2. Mathematics teachers' conceptions about equations

    Author : Iiris Attorps; Högskolan i Gävle; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; algebra; conception; equation; learning; mathematics teacher; Subject didactics; Ämnesdidaktik; MATHEMATICS; MATEMATIK;

    Abstract : The aim of this study is to describe and to clarify the mathematics teachers’ subject matter and pedagogical content conceptions about equations. As the basis of these conceptions, the teachers’ experiences of the concept learning of equations from their own school time are described. READ MORE

  5. 3. Prop profiles of compatible Poisson and Nijenhuis structures

    Author : Henrik Strohmayer; Sergei Merkulov; Gilles Halbout; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; resolutions; props; operads; compatible structures; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Abstract : A prop profile of a differential geometric structure is a minimal resolution of an algebraic prop such that representations of this resolution are in one-to-one correspondence with structures of the given type. We begin this thesis with a detailed account of the algebraic tools necessary to construct prop profiles; we treat operads and props, and resolutions of these through Koszul duality. READ MORE

  6. 4. Automorphic string amplitudes

    Author : Henrik Gustafsson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Eisenstein series; string theory; automorphic forms; U-duality; non-perturbative effects; Whittaker vectors; instantons;

    Abstract : This thesis explores the non-perturbative properties of higher derivative interactions appearing in the low-energy expansion of four-graviton scattering amplitudes in toroidal compactifications of type IIB string theory. We summarise the arguments for finding such higher derivative corrections in terms of automorphic forms using U-duality, supersymmetry and string perturbation theory. READ MORE

  7. 5. Contributions to dual subgradient optimization and maintenance scheduling

    Author : Emil Gustavsson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Subgradient optimization; Lagrangian duality; convex programming; maintenance scheduling; integer optimization; Lagrangian duality;

    Abstract : This thesis analyses two topics within the area of mathematical optimization; dual subgradient methods and maintenance optimization. The first two papers consider dual subgradient methods, and the third paper considers maintenance optimization. READ MORE