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

Showing result 6 - 10 of 40 swedish dissertations containing the words Scientific Computing with specialization in Numerical Analysis.

  2. 6. Preconditioning for block matrices with square blocks

    Author : Ivo Dravins; Maya Neytcheva; Svetozar Margenov; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; preconditioning; block preconditioning; PDE-constrained optimization; Implicit Runge-Kutta methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : Linear systems of equations appear in one way or another in almost every scientific and engineering problem. They are so ubiquitous that, in addition to solving linear problems, also non-linear problems are typically reduced to a sequence of linear ones. READ MORE

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

    Author : Per Pettersson; Jan Nordström; Gianluca Iaccarino; Gunilla Kreiss; Rémi Abgrall; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; uncertainty quantification; polynomial chaos; stochastic Galerkin methods; conservation laws; hyperbolic problems; finite difference methods; finite volume methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : 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. READ MORE

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

    Author : Petia Boyanova; Maya Neytcheva; Oleg Iliev; Uppsala universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE

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

    Author : Lina Meinecke; Per Lötstedt; Stefan Engblom; Ramon Grima; Uppsala universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE

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

    Author : Sven-Erik Ekström; Maya Neytcheva; Stefano Serra-Capizzano; Carlo Garoni; Lothar Reichel; Uppsala universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE