Sökning: "Finite difference methods"

Visar resultat 1 - 5 av 99 uppsatser innehållade orden Finite difference methods.

  1. 1. On linear Reaction-Diffusion systems and Network Controllability

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Rebecka Aulin; Felicia Hage; [2023]
    Nyckelord :Turing s model of morphogenesis; FDM; FEM; Controllability; Minimal Control; Least Energy Control;

    Sammanfattning : In 1952 Alan Turing published his paper "The Chemical Basis of Morphogenesis", which described a model for how naturally occurring patterns, such as the stripes of a zebra and the spots of a leopard, can arise from a spatially homogeneous steady state through diffusion. Turing suggested that the concentration of the substances producing the patterns is determined by the reaction kinetics, how the substances interact, and diffusion. LÄS MER

  3. 2. Implementation and study of boundary integral operators related to PDE:s in the plane

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Erik Andersson; [2023]
    Nyckelord :Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

    Sammanfattning : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. LÄS MER

  4. 3. Finita differensapproximationer av tvådimensionella vågekvationen med variabla koefficienter

    Kandidat-uppsats,

    Författare :Herman Bergkvist; [2023]
    Nyckelord :Finite Difference Methods; SBP-SAT; Wave Equation; Variable Coefficients; Finita differensmetoden; SBP–SAT; vågekvationen; variabla koefficienter;

    Sammanfattning : I [Mattson, Journal of Scientific Computing 51.3 (2012), s. 650–682] konstruerades partialsummeringsoperatorer för finita differensapproximationer av andraderivator med variabla koefficienter. LÄS MER

  5. 4. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time

    Kandidat-uppsats, Uppsala universitet/Avdelningen för beräkningsvetenskap

    Författare :Vilma Kjelldahl; [2023]
    Nyckelord :Benjamin-Bona-Mahony equation; non-linear; initial boundary value problem; summation-by-parts; simultaneous-approximation-term; time integration; simulation;

    Sammanfattning : This paper describes simulations of the generalized modified Benjamin-Bona-Mahony (BBM) equation, using finite difference methods (FDM). Well-posed boundary conditions (BCs) as well as stable semi-discrete approximations are derived using summations-by-parts (SBP) operators combined with the projection method. LÄS MER

  7. 5. Utilisation of hardwood in cross-laminated timber - A numerical study on vibrations in floors

    Uppsats för yrkesexamina på avancerad nivå, Lunds universitet/Byggnadsmekanik; Lunds universitet/Institutionen för byggvetenskaper

    Författare :Johannes Jonasson; Olle Karlsson; [2022]
    Nyckelord :hardwood; birch; beech; clt; cross-laminated timber; vibrations; floors; footfall; accelerations; Technology and Engineering;

    Sammanfattning : Cross-laminated timber (CLT) is an engineered wood product consisting of several layers of laminations bonded together with adhesives. In contrast to heavier construction materials, timber and other lightweight building materials are more prone to serviceability issues due to vibrations. LÄS MER