Sökning: "numerical analysis"

Visar resultat 1 - 5 av 1415 avhandlingar innehållade orden numerical analysis.

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

   Författare :André Berg; David Cohen; Per Åhag; Guillaume Dujardin; Ludovic Goudenège; Umeå universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

3. 2. Geometric Discretization in Shape analysis

   Författare :Erik Jansson; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; compressible fluids; diffeomorphisms; residual neural networks; quantization; machine learning; Shape analysis;

   Sammanfattning : Discretizations in shape analysis is the main theme of this licentiate thesis, which comprises two papers.  The first paper considers  the problem of finding a parameterized time-dependent vector field that warps an initial set of points to a target set of points. LÄS MER

4. 3. Free Boundary Problems of Obstacle Type, a Numerical and Theoretical Study

   Författare :Mahmoudreza Bazarganzadeh; Henrik Shahgholian; John King; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Numerical analysis; Free boundary problems; Mathematics; Matematik;

   Sammanfattning : This thesis consists of five papers and it mainly addresses the theory and schemes to approximate the quadrature domains, QDs. The first deals with the uniqueness and some qualitative properties of the two QDs. The concept of two phase QDs, is more complicated than its one counterpart and consequently introduces significant and interesting open. LÄS MER

5. 4. Numerical Analysis of Evolution Problems in Multiphysics

   Författare :Anna Persson; Göteborgs universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

7. 5. Long-Wavelength Vertical-Cavity Lasers : Materials and Device Analysis

   Författare :Sebastian Mogg; KTH; []
   Nyckelord :VCL; VCSEL; vertical-cavity laser; semiconductor laser; long-wavelength; DBR; characterization; analysis; InP; InGaAs; quantum well; numerical modeling;

   Sammanfattning : Vertical-cavity lasers (VCLs) are of great interest as lightsources for fiber-optic communication systems. Such deviceshave a number of advantages over traditional in-plane laserdiodes, including low power consumption, efficient fibercoupling, on-chip testability, as well as potential low-costfabrication and packaging. LÄS MER