Sökning: "Partiella differentialekvationer"
Visar resultat 1 - 5 av 31 avhandlingar innehållade orden Partiella differentialekvationer.
1. Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations
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
2. Reconstruction of flow and temperature from boundary data
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
3. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion
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
4. Numerical methods for parameterized linear systems
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
5. Approximation of Schrödinger Operators and Scattering Data Using Multiresolution Analysis
Sammanfattning : .... LÄS MER