Search for dissertations about: "difference equations"

Showing result 1 - 5 of 178 swedish dissertations containing the words difference equations.

  2. 1. Studies in differential-difference equations

    Author : Harald Lang; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  4. 2. Finite Difference and Discontinuous Galerkin Methods for Wave Equations

    Author : Siyang Wang; Gunilla Kreiss; Thomas Hagstrom; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Wave propagation; Finite difference method; Discontinuous Galerkin method; Stability; Accuracy; Summation by parts; Normal mode analysis; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : Wave propagation problems can be modeled by partial differential equations. In this thesis, we study wave propagation in fluids and in solids, modeled by the acoustic wave equation and the elastic wave equation, respectively. READ MORE

  5. 3. High Order Finite Difference Methods in Space and Time

    Author : Wendy Kress; Bertil Gustafsson; Gerald Warnecke; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite difference methods; Navier-Stokes equations; high order time discretization; deferred correction; stability; Numerical Analysis; Numerisk analys;

    Abstract : In this thesis, high order accurate discretization schemes for partial differential equations are investigated. In the first paper, the linearized two-dimensional Navier-Stokes equations are considered. READ MORE

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

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

    Abstract : 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. READ MORE

  7. 5. Finite Difference Methods for Wave Dominated Problems

    Author : Jonatan Werpers; Ken Mattsson; Anders Petersson; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Finite difference; summation-by-parts; simultaneous approximation term; high-order accuracy; stability; boundary treatment; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : Wave models are an important class of models that describe many diverse phenomena such as sound waves, fluid flow, and quantum mechanics. These models are often described mathematically as partial differential equations (PDE). Often these equations do not admit solutions on closed-form and then the only option to study them is numerical methods. READ MORE