Search for dissertations about: "equation"

Showing result 1 - 5 of 1480 swedish dissertations containing the word equation.

2. 1. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion

   Author : André Berg; David Cohen; Per Åhag; Guillaume Dujardin; Ludovic Goudenège; Umeå universitet; []
   Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; stochastic partial differential equation; mathematics; numerical analysis; numerical scheme; time integrator; convergence analysis; blowup; critical exponent; nonlinear Schrödinger equation; Manakov equation; Benjamin-Bona-Mahony equation; BBM equation; stochastic; random; dispersion; white noise dispersion; finite difference; pseudospectral; code; matlab; exponential integrator; splitting integrator; convergence in probability; Mathematics; matematik; Numerical Analysis; numerisk analys;

   Abstract : This doctoral thesis provides a comprehensive numerical analysis and exploration of several stochastic partial differential equations (SPDEs). More specifically, this thesis investigates time integrators for SPDEs with white noise dispersion. READ MORE

4. 2. The inevitable equation : the antithetic pattern of Theodore Dreiser's thought and art

   Author : Rolf Lundén; Uppsala universitet; []
   Keywords : HUMANITIES; HUMANIORA; HUMANIORA; HUMANITIES; English language; Engelska språket;

   Abstract : .... READ MORE

5. 3. Symmetries and conservation laws

   Author : Raisa Khamitova; Börje Nilsson; Claes Jougréus; Maria Luz Gandarias; Växjö universitet; []
   Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; conservation law; Noether s theorem; Lie group analysis; Lie-Bäcklund transformations; basis of conservation laws; formal Lagrangian; self-adjoint equation; quasi-selfadjoint; equation; nonlocal conservation law; Mathematical physics; Matematisk fysik; Conservation law; Noether’s theorem; quasi-self-adjoint equation;

   Abstract : Conservation laws play an important role in science. The aim of this thesis is to provide an overview and develop new methods for constructing conservation laws using Lie group theory. The derivation of conservation laws for invariant variational problems is based on Noether’s theorem. READ MORE

6. 4. On weak and strong convergence of numerical approximations of stochastic partial differential equations

   Author : Fredrik Lindgren; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   Keywords : Additive noise; Cahn-Hilliard-Cook equation; Error estimate; Finite element; Hyperbolic equation; Parabolic equation; Rational approximation; Stochastic partial differential equation; Strong convergence; Truncation; Wiener process; Weak convergence; Weak convergence;

   Abstract : This thesis is concerned with numerical approximation of linear stochastic partial differential equations driven by additive noise. In the first part, we develop a framework for the analysis of weak convergence and within this framework we analyze the stochastic heat equation, the stochastic wave equation, and the linearized stochastic Cahn-Hilliard, or the linearized Cahn-Hilliard-Cook equation. READ MORE

7. 5. Propagation of Chaos for Kac-like Particle Systems

   Author : Dawan Mustafa; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   Keywords : Master equations; chaotic densities; kinetic equations; propagation of chaos; Kac model; thermostatted master equation; Boltzmann equation; BGK equation; quenched process; uniform distribution; spectral gap; approximation process; kinetic equations;

   Abstract : This thesis concerns various aspects of the Kac model. The Kac model is a Markov jump process for a particle system where the total kinetic energy of the system is conserved. This particle model is connected to a limiting equation, describing the evolution of a one-particle density, when the numbers of particles tends to infinity. READ MORE