Sökning: "Partiella differentialekvationer"

Visar resultat 1 - 5 av 31 avhandlingar innehållade orden Partiella differentialekvationer.

1. 1. Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations

   Författare :Aksel Bergfeldt; Wolfgang Staubach; Dorothee Frey; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; oscillatory integral operators; partial differential equations; Mathematics; Matematik;

   Sammanfattning : We show regularity of multilinear Schrödinger integral operators as well as multilinear oscillatory integrals with connection to dispersive partial differential equations. These results are used to show regularity of a system of nonlinear dispersive partial differential equations... LÄS MER

3. 2. Reconstruction of flow and temperature from boundary data

   Författare :Tomas Johansson; Vladimir Kozlov; George Bastay (Baravdish); Jürgen Rossmann; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partiella differentialekvationer; Operatorteori;

   Sammanfattning : In this thesis, we study Cauchy problems for elliptic and parabolic equations. These include the stationary Stokes system and the heat equation. Data are given on a part of the boundary of a bounded domain. The aim is to reconstruct the solution from these data. LÄS MER

4. 3. 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

5. 4. Numerical methods for parameterized linear systems

   Författare :Siobhán Correnty; Elias Jarlebring; Johan Karlsson; Kirk M. Soodhalter; Andrew J. Wathen; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Parameterized linear systems; Krylov subspace methods; preconditioning; tensor decompositions; shifted linear systems; parameterized partial differential equations; time-delay systems; transfer functions; parameter estimation problems; Parameteriserade linjära system; Krylov-metoder; förkonditionering; tensordekomposition; skiftade linjära system; parametriserade partiella differentialekvationer; tidsfördröjningssystem; överföringsfunktioner; parameteruppskattningsproblem; Numerical Analysis; Numerisk analys;

   Sammanfattning : Solving linear systems of equations is a fundamental problem in engineering. Moreover, applications involving the solution to linear systems arise in the social sciences, business, and economics. Specifically, the research conducted in this dissertation explores solutions to linear systems where the system matrix depends nonlinearly on a parameter. LÄS MER

7. 5. Approximation of Schrödinger Operators and Scattering Data Using Multiresolution Analysis

   Författare :Anders Holst; Partiella differentialekvationer; []
   Nyckelord :Operator Theory; Scattering Theory;

   Sammanfattning : .... LÄS MER