Sökning: "Matematik LTH"

Visar resultat 1 - 5 av 97 avhandlingar innehållade orden Matematik LTH.

  1. 1. Mathematical Modeling of Biofilms: Theory, Numerics and Applications

    Författare :Erik Alpkvist; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; mathematical modeling; Mathematics; conservation laws; biofilm; Matematik;

    Sammanfattning : A biofilm is a complex and diverse aggregation of microorganisms at surface comprised of among different things a protective adhesive matrix of extracellular polymeric substance. Biofilm research represents a broad range of sciences joining efforts within an interdisciplinary field of research. LÄS MER

  2. 2. Inverse Problems in Tomography and Fast Methods for Singular Convolutions

    Författare :Fredrik Andersson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Unequally spaced FFT; Integral transforms; Singular integrals; Lippmann?Schwinger equation; Helmholtz equation; Inverse problems; Fast Gauss transform; Fast summation; Convolution; Radon transform; Tomography;

    Sammanfattning : There are two, partially interlaced, themes treated in this thesis; inverse problems of tomographic type and fast and accurate methods for the application of convolution operators. Regarding the first theme, the inverse problem of Doppler tomography is considered and the Doppler moment transform is introduced for that purpose. LÄS MER

  3. 3. Discrete Methods used in Graph Theory and Linear Programming

    Författare :Olof Barr; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Perceptron Algorithm; Graph Theory; Linear Programming; Matematik;

    Sammanfattning : The content of the thesis is divided into two parts; graph theory and linear programming. The main results in the first part concerns extremal graph theory. Here we want to determine the number of edges in a graph needed to ensure the existence of certain local structures. LÄS MER

  4. 4. Extensions and Applications of Affine Shape

    Författare :Rikard Berthilsson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Systems engineering; Matematik; Mathematics; density of shape; maximum likelihood; matching constraint; surface; curve; handwriting; recognition; affine shape; reconstruction; computer technology; Data- och systemvetenskap;

    Sammanfattning : A central problem in computer vision is to reconstruct the three-dimensional structure of a scene from a set of two-dimensional images. Traditionally this is done by extracting a set of characteristic points in the scene and to compute a reconstruction of these points. LÄS MER

  5. 5. Some Applications of Variational Inequalities in Mathematical Finance and Numerics

    Författare :Martin Dahlgren; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; HJB quasi variational inequalities; option pricing; Impulse control; parabolic PDE; finite element method; Galerkin method;

    Sammanfattning : This thesis contains two parts. The first part deals with a stochastic impulse control problem, subject to the restriction of a minimum time lapse in between interventions made by the controller. We prove existence of an optimal control and show that the value function of the control problem satisfies a system of quasi-variational inequalities. LÄS MER