Sökning: "initial-boundary value problem"

Visar resultat 1 - 5 av 17 avhandlingar innehållade orden initial-boundary value problem.

1. 1. Initial-Boundary-Value Problems for the Stokes and Navier–Stokes Equations on Staggered Grids

   Författare :Jonas Nilsson; Bertil Gustafsson; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stokes equations; Navier-Stokes equations; boundary conditions; staggered grids; higher-order methods; Numerical Analysis; Numerisk analys;

   Sammanfattning : In the first part of the thesis various types of boundary conditions for the steady state Stokes equations are considered. We formulate the boundary conditions in a new way, such that the boundary value problem becomes non-singular, and derive estimates of the solution. LÄS MER

3. 2. On the discretization in time and space of parabolic integro-differential equations

   Författare :Nai-Ying Zhang; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; initial-boundary value problem; parabolic; partial; integro-differential equation; regularity; nonsmooth initial data; finite element method; fully discrete; Galerkin approximation; stability; error estimate; quadrature; stability;

   Sammanfattning : .... LÄS MER

4. 3. The defocusing nonlinear Schrödinger equation with step-like oscillatory data

   Författare :Samuel Fromm; Jonatan Lenells; Alexander Tovbis; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : The thesis at hand consists of three papers as well as an introductory chapter and a summary of results. The topic of the thesis is the study of the defocusing nonlinear Schrödinger equation with step-like oscillatory data. LÄS MER

5. 4. Parabolic problems on noncylindrical domains : the method of Rothe

   Författare :Komil Kuliev; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Sammanfattning : This Licentiate Thesis deals with parabolic problems on non-cylindrical domains. The existence and uniqueness of the corresponding initial- boundary value problem is proved by the method of Rothe, which - for the case of non-cylindrical domains - has to be appropriately generalized and applied. LÄS MER

7. 5. Applications of summation-by-parts operators

   Författare :Oskar Ålund; Jan Nordström; Andrew Ross Winters; Murtazo Nazarov; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : Numerical solvers of initial boundary value problems will exhibit instabilities and loss of accuracy unless carefully designed. The key property that leads to convergence is stability, which this thesis primarily deals with. LÄS MER