Essays about: "Gauss-Legendre quadrature"

Found 3 essays containing the words Gauss-Legendre quadrature.

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

    University essay from Lunds universitet/Matematik LTH

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

    Abstract : 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. READ MORE

  2. 2. The K-distribution method for calculating thermal infrared radiative transfer in the atmosphere : A two-stage numerical procedure based on Gauss-Legendre quadrature

    University essay from Linnéuniversitetet/Institutionen för fysik och elektroteknik (IFE)

    Author : Karl Nerman; [2022]
    Keywords : The K-distribution method; thermal infrared radiative transfer; Gauss-Legendre quadrature; numerical integration; MATLAB;

    Abstract : The K-distribution method is a fast approximative method used for calculating thermal infrared radiative transfer in the atmosphere, as opposed to the traditional Line-by-line method, which is precise, but very time-costly. Here we consider the atmosphere to consist of homogeneous and plane-parallel layers in local thermal equilibrium. READ MORE

  3. 3. Dispersion forces in a four-component density functional theory framework

    University essay from Institutionen för fysik, kemi och biologi

    Author : Robert Pilemalm; [2009]
    Keywords : Dispersion force; polarizability; four-component density functional theory; noble gases;

    Abstract : The main purpose of this thesis is to implement the Gauss--Legendre quadrature for the dispersion coefficient. This has been done and can be now be made with different number of points. READ MORE