Sökning: "Scientific Computing with specialization in Numerical Analysis"

Visar resultat 6 - 10 av 37 avhandlingar innehållade orden Scientific Computing with specialization in Numerical Analysis.

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

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Anna Nissen; Uppsala universitet.; Uppsala universitet.; [2011]
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  2. 7. Uncertainty Quantification and Numerical Methods for Conservation Laws

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Per Pettersson; Uppsala universitet.; Uppsala universitet.; [2013]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis; uncertainty quantification; polynomial chaos; stochastic Galerkin methods; conservation laws; hyperbolic problems; finite difference methods; finite volume methods;

    Sammanfattning : Conservation laws with uncertain initial and boundary conditions are approximated using a generalized polynomial chaos expansion approach where the solution is represented as a generalized Fourier series of stochastic basis functions, e.g. orthogonal polynomials or wavelets. LÄS MER

  3. 8. On Numerical Solution Methods for Block-Structured Discrete Systems

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Petia Boyanova; Uppsala universitet.; Uppsala universitet.; [2012]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Preconditioning techniques; Finite element method; Two-by-two block matrices; Optimal order methods; AMLI method; Cahn-Hilliard equation; Multiphase flow; Inexact Newton method; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : The development, analysis, and implementation of efficient methods to solve algebraic systems of equations are main research directions in the field of numerical simulation and are the focus of this thesis. Due to their lesser demands for computer resources, iterative solution methods are the choice to make, when very large scale simulations have to be performed. LÄS MER

  4. 9. Stochastic Simulation of Multiscale Reaction-Diffusion Models via First Exit Times

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Lina Meinecke; Uppsala universitet.; Uppsala universitet.; [2016]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational systems biology; diffusion; first exit times; unstructured meshes; reaction-diffusion master equation; macromolecular crowding; excluded volume effects; finite element method; backward analysis; stochastic simulation; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : Mathematical models are important tools in systems biology, since the regulatory networks in biological cells are too complicated to understand by biological experiments alone. Analytical solutions can be derived only for the simplest models and numerical simulations are necessary in most cases to evaluate the models and their properties and to compare them with measured data. LÄS MER

  5. 10. Matrix-Less Methods for Computing Eigenvalues of Large Structured Matrices

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Sven-Erik Ekström; Uppsala universitet.; Uppsala universitet.; [2018]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Toeplitz matrices; eigenvalues; eigenvalue asymptotics; polynomial interpolation; extrapolation; generating function and spectral symbol; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : When modeling natural phenomena with linear partial differential equations, the discretized system of equations is in general represented by a matrix. To solve or analyze these systems, we are often interested in the spectral behavior of these matrices. LÄS MER