Sökning: "Scientific Computing with specialization in Numerical Analysis"

Visar resultat 26 - 30 av 40 avhandlingar innehållade orden Scientific Computing with specialization in Numerical Analysis.

1. 26. Absorbing boundary techniques for the time-dependent Schrödinger equation

   Författare :Anna Nissen; Gunilla Kreiss; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : Chemical dissociation processes are important in quantum dynamics. Such processes can be investigated theoretically and numerically through the time-dependent Schrödinger equation, which gives a quantum mechanical description of molecular dynamics.This thesis discusses the numerical simulation of chemical reactions involving dissociation. LÄS MER

3. 27. On discontinuous Galerkin multiscale methods

   Författare :Daniel Elfverson; Axel Målqvist; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. The method uses localized fine scale computations to correct a global coarse scale equation and thereby takes the fine scale features into account. LÄS MER

4. 28. 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

5. 29. High Order Cut Finite Element Methods for Wave Equations

   Författare :Simon Sticko; Gunilla Kreiss; Mats G. Larson; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cut finite element; Wave equation; Immersed; Fictitious domain; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : This thesis considers wave propagation problems solved using finite element methods where a boundary or interface of the domain is not aligned with the computational mesh. Such methods are usually referred to as cut or immersed methods. LÄS MER

7. 30. Localised Radial Basis Function Methods for Partial Differential Equations

   Författare :Victor Shcherbakov; Elisabeth Larsson; Grady B. Wright; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Radial basis function; Partition of unity; Computational finance; Option pricing; Credit default swap; Glaciology; Fluid dynamics; Non-Newtonian flow; Anisotropic RBF; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : Radial basis function methods exhibit several very attractive properties such as a high order convergence of the approximated solution and flexibility to the domain geometry. However the method in its classical formulation becomes impractical for problems with relatively large numbers of degrees of freedom due to the ill-conditioning and dense structure of coefficient matrix. LÄS MER