Sökning: "Numerisk analys"

Visar resultat 1 - 5 av 415 avhandlingar innehållade orden Numerisk analys.

  1. 1. Numerical algorithms for high dimensional integration with application to machine learning and molecular dynamics

    Författare :Aku Kammonen; Anders Szepessy; Markos Katsoulakis; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

    Sammanfattning : This thesis contains results on high dimensional integration with two papers, paper I and paper II, presenting applications in machine learning and two papers, paper III and paper IV, presenting applications to molecular dynamics.In paper I we present algorithms based on a Metropolis test for training shallow neural networks with trigonometric activation functions. LÄS MER

  2. 2. Krylov methods for nonlinear eigenvalue problems and matrix equations

    Författare :Giampaolo Mele; Elias Jarlebring; Raf Vandebril; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

    Sammanfattning : Nonlinear eigenvalue problems (NEPs) arise in many fields of science and engineering. Such problems are often defined by large matrices, which have specific structures, such as being sparse, low-rank, etc. Like the linear eigenvalue problem, the eigenvector appears in a linear form, whereas the eigenvalue appears in a nonlinear form. LÄS MER

  3. 3. Boundary integral methods for fast and accurate simulation of droplets in two-dimensional Stokes flow

    Författare :Sara Pålsson; Anna-Karin Tornberg; Shravan Veerapaneni; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

    Sammanfattning : Accurate simulation of viscous fluid flows with deforming droplets creates a number of challenges. This thesis identifies these principal challenges and develops a numerical methodology to overcome them. Two-dimensional viscosity-dominated fluid flows are exclusively considered in this work. LÄS MER

  4. 4. Free Boundary Problems of Obstacle Type, a Numerical and Theoretical Study

    Författare :Mahmoudreza Bazarganzadeh; Henrik Shahgholian; John King; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Numerical analysis; Free boundary problems; Mathematics; Matematik;

    Sammanfattning : This thesis consists of five papers and it mainly addresses the theory and schemes to approximate the quadrature domains, QDs. The first deals with the uniqueness and some qualitative properties of the two QDs. The concept of two phase QDs, is more complicated than its one counterpart and consequently introduces significant and interesting open. LÄS MER

  5. 5. Absorbing Layers and Non-Reflecting Boundary Conditions for Wave Propagation Problems

    Författare :Daniel Appelö; Prof. Gunilla Kreiss; Eliane Becache; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; PML; perfectly matched layer; Numerical analysis; Numerisk analys;

    Sammanfattning : The presence of wave motion is the defining feature in many fields of application,such as electro-magnetics, seismics, acoustics, aerodynamics,oceanography and optics. In these fields, accurate numerical simulation of wave phenomena is important for the enhanced understanding of basic phenomenon, but also in design and development of various engineering applications. LÄS MER