Search for dissertations about: "Scientific Computing with specialization in Numerical Analysis"

Showing result 1 - 5 of 40 swedish dissertations containing the words Scientific Computing with specialization in Numerical Analysis.

  1. 1. Numerical Solution Methods in Stochastic Chemical Kinetics

    Author : Stefan Engblom; Per Lötstedt; Wilhelm Huisinga; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; stochastic models; chemical master equation; mesoscopic kinetics; Markov property; jump process; moment closure problem; spectral-Galerkin method; high dimensional problem; hybrid methods; time-parallel; homogenization; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : This study is concerned with the numerical solution of certain stochastic models of chemical reactions. Such descriptions have been shown to be useful tools when studying biochemical processes inside living cells where classical deterministic rate equations fail to reproduce actual behavior. READ MORE

  2. 2. Numerical Methods for Darcy Flow Problems with Rough and Uncertain Data

    Author : Fredrik Hellman; Axel Målqvist; Auli Niemi; Fritjof Fagerlund; Robert Scheichl; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; numerical homogenization; multiscale methods; rough coefficients; high contrast coefficients; mixed finite elements; cdf estimation; multilevel Monte Carlo methods; Darcy flow problems; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : We address two computational challenges for numerical simulations of Darcy flow problems: rough and uncertain data. The rapidly varying and possibly high contrast permeability coefficient for the pressure equation in Darcy flow problems generally leads to irregular solutions, which in turn make standard solution techniques perform poorly. READ MORE

  3. 3. Stable Numerical Methods with Boundary and Interface Treatment for Applications in Aerodynamics

    Author : Sofia Eriksson; Jan Nordström; Gunilla Kreiss; Thomas Hagstrom; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; summation by parts; simultaneous approximation term; accuracy; stability; finite difference methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : In numerical simulations, problems stemming from aerodynamics pose many challenges for the method used. Some of these are addressed in this thesis, such as the fluid interacting with objects, the presence of shocks, and various types of boundary conditions. READ MORE

  4. 4. Numerical methods for quantum molecular dynamics

    Author : Katharina Kormann; Sverker Holmgren; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : The time-dependent Schrödinger equation models the quantum nature of molecular processes. Numerical simulations of these models help in understanding and predicting the outcome of chemical reactions. READ MORE

  5. 5. High Order Finite Difference Methods with Artificial Boundary Treatment in Quantum Dynamics

    Author : Anna Nissen; Gunilla Kreiss; Sverker Holmgren; Magnus Svärd; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Schrödinger equation; finite difference methods; perfectly matched layer; summation-by-parts operators; adaptive discretization; stability; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : The investigation of the dynamics of chemical reactions, both from the theoretical and experimental side, has drawn an increasing interest since Ahmed H. Zewail was awarded the 1999 Nobel Prize in Chemistry for his work on femtochemistry. READ MORE