Sökning: "finite-difference"

Visar resultat 1 - 5 av 185 avhandlingar innehållade ordet finite-difference.

  1. 1. Scattering of seismic waves in random velocity models : Finite difference simulation

    Författare :Lena Frenje; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Earth sciences; Geovetenskap; Earth sciences; Geovetenskap; Geofysik med inriktning mot fasta jordens fysik; Geophysics with specialization in Solid Earth Physics;

    Sammanfattning : The small-scale heterogeneities within the Earth's crust and the effect these heterogeneities have on seismic waves have gained increasing interest in the last 15 years. One approach to study seismic wave scattering is through numerical simulations in random media. LÄS MER

  3. 2. Finite Difference Methods for Wave Dominated Problems

    Författare :Jonatan Werpers; Ken Mattsson; Anders Petersson; Uppsala universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  4. 3. Stable High-Order Finite Difference Methods for Aerodynamics

    Författare :Magnus Svärd; Jan Nordström; Thomas Hagstrom; Uppsala universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  5. 4. Radial Basis Function generated Finite Difference Methods for Pricing of Financial Derivatives

    Författare :Slobodan Milovanović; Lina von Sydow; Bertram Düring; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Radial basis function; Finite difference; Computational finance; Pricing of financial derivatives; Option pricing; Partial differential equation; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : The purpose of this thesis is to present state of the art in radial basis function generated finite difference (RBF-FD) methods for pricing of financial derivatives. This work provides a detailed overview of RBF-FD properties and challenges that arise when the RBF-FD methods are used in financial applications. LÄS MER

  7. 5. Finite Difference and Discontinuous Galerkin Methods for Wave Equations

    Författare :Siyang Wang; Gunilla Kreiss; Thomas Hagstrom; Uppsala universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER