Search for dissertations about: "finite difference equations"

Showing result 1 - 5 of 93 swedish dissertations containing the words finite difference equations.

  2. 1. 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

  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. Stable High-Order Finite Difference Methods for Aerodynamics

    Author : Magnus Svärd; Jan Nordström; Thomas Hagstrom; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite difference methods; high-order accuracy; summation-by-parts; stability; energy estimates; finite volume methods; Numerical analysis; Numerisk analys; Scientific Computing; Beräkningsvetenskap; Numerical Analysis;

    Abstract : In this thesis, the numerical solution of time-dependent partial differential equations (PDE) is studied. In particular high-order finite difference methods on Summation-by-parts (SBP) form are analysed and applied to model problems as well as the PDEs governing aerodynamics. READ MORE

  6. 4. 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

  7. 5. Hybrid Solvers for the Maxwell Equations in Time-Domain

    Author : Fredrik Edelvik; Per Lötstedt; Jan Hesthaven; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Maxwell s equations; time-domain; finite volume methods; finite element methods; hybrid solver; dispersive materials; thin wires; Beräkningsvetenskap; Scientific Computing;

    Abstract : The most commonly used method for the time-domain Maxwell equations is the Finite-Difference Time-Domain method (FDTD). This is an explicit, second-order accurate method, which is used on a staggered Cartesian grid. The main drawback with the FDTD method is its inability to accurately model curved objects and small geometrical features. READ MORE