Sökning: "Elliptic Equation"

Visar resultat 11 - 15 av 43 avhandlingar innehållade orden Elliptic Equation.

1. 11. Towards an All-Embracing Elliptic Solver in 2D

   Författare :Rikard Ojala; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : This thesis addresses solving elliptic partial differential equation using integral equation methods, with emphasis on accuracy, speed and stability. Of particular interest are such equations on non-smooth domains, and several different elliptic problems such as electrostatic and elastostatic ones are treated and solved in this setting... LÄS MER

3. 12. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations

   Författare :Raul Tempone Olariaga; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Adaptive methods; a posteriori error estimates; stochastic differential equations; weak approximation; Monte Carlo methods; Malliavin Calculus; HJM model; option price; bond market; stochastic elliptic equation; Karhunen-Loeve expansion; numerical co; Numerical analysis; Numerisk analys;

   Sammanfattning : The thesis consists of four papers on numerical complexityanalysis of weak approximation of ordinary and partialstochastic differential equations, including illustrativenumerical examples. Here by numerical complexity we mean thecomputational work needed by a numerical method to solve aproblem with a given accuracy. LÄS MER

4. 13. Accelerated Dirichlet-Robin Alternating Algorithm for Solving the Cauchy Problem for an Elliptic Equation using Krylov Subspaces

   Författare :Jennifer Chepkorir; Vladimir Kozlov; Fredrik Berntsson; Linus Carlsson; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : In this thesis, we study the Cauchy problem for an elliptic equation. We use Dirichlet-Robin iterations for solving the Cauchy problem. This allows us to include in our consideration elliptic equations with variable coefficient as well as Helmholtz type equations. LÄS MER

5. 14. Some special problems in elliptic and parabolic variational inequalities

   Författare :Gulchehra Kulieva; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Sammanfattning : This Licentiate Thesis is devoted above all to the investigation of variational inequalities. Chapter 1 deals with linear elliptic variational inequalities, where the operator is degenerated or singular, which involves the use of some weighted Sobolev spaces. LÄS MER

7. 15. On some Nonlinear Aspects of Wave Motion

   Författare :Erik Wahlén; Partiella differentialekvationer; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; water waves; bifurcation; global existence; rod equation; wabve breaking;

   Sammanfattning : In the first part of this thesis we consider the governing equations for capillary water waves given by the Euler equations with a free surface under the influence of surface tension over a flat bottom. We look for two-dimensional steady periodic waves. The problem is first transformed to a nonlinear elliptic equation in a rectangle. LÄS MER