Search for dissertations about: "low regularity"

Showing result 1 - 5 of 21 swedish dissertations containing the words low regularity.

  2. 1. Parabolic equations with low regularity

    Author : Magnus Fontes; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Galerkin approximation.; low regularity; variational method; Hilbert transformation; fractional calculus; parabolic equations; quasilinear;

    Abstract : In this work we study a variational method for treating parabolic equations that yields new results for non-linear equations with low regularity on source and boundary data. We treat mainly strongly parabolic quasilinear equations and systems in divergence form. READ MORE

  4. 2. Numerical Analysis of Evolution Problems in Multiphysics

    Author : Anna Persson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; regularity; generalized finite element; localized orthogonal decomposition; multiscale; finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations; Regularity; generalized finite element; localized orthogonal decomposition; multiscale finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations;

    Abstract : In this thesis we study numerical methods for evolution problems in multiphysics. The term multiphysics is commonly used to describe physical phenomena that involve several interacting models. Typically, such problems result in coupled systems of partial differential equations. READ MORE

  5. 3. On DFM Considerations and Assessment for Nanometer SoCs

    Author : KASYAB PARMESH SUBRAMANIYAN; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Multipliers; CMOS; Shifters; DFM; ASIC; SoC; Regularity; Processor;

    Abstract : The incredible density of silicon integrated circuits has brought with it unprecedented technological advances. This is made possible through innovations at each incremental technology node. READ MORE

  6. 4. Numerical Methods for Wave Propagation : Analysis and Applications in Quantum Dynamics

    Author : Emil Kieri; Sverker Holmgren; Vasile Gradinaru; Hans O. Karlsson; Tobias Jahnke; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; computational wave propagation; quantum dynamics; time-dependent Schrödinger equation; spectral methods; Gaussian beams; splitting methods; low-rank approximation; Scientific Computing; Beräkningsvetenskap;

    Abstract : We study numerical methods for time-dependent partial differential equations describing wave propagation, primarily applied to problems in quantum dynamics governed by the time-dependent Schrödinger equation (TDSE). We consider both methods for spatial approximation and for time stepping. READ MORE

  7. 5. On the Finite Element Method for the Time-Dependent Ginzburg-Landau Equations

    Author : Johan Ivarsson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; discontinuous Galerkin method; a posteriori error estimate; adaptive finite element method; duality; residual; Ginzburg-Landau equations; superconductivity; residual;

    Abstract : This thesis is primarily concerned with various issues regarding finite element approximation of the time-dependent Ginzburg-Landau equations. The time-dependent Ginzburg-Landau equations is a macroscopic, phenomenological model of superconductivity, consisting of a system of nonlinear, parabolic partial differential equations. READ MORE