Essays about: "Integral Equation Method"

Showing result 1 - 5 of 14 essays containing the words Integral Equation Method.

  1. 1. Development of a cable analysis theory based on integral equation derivation

    University essay from Luleå tekniska universitet/Institutionen för teknikvetenskap och matematik

    Author : Sandra Larsson; [2023]
    Keywords : ;

    Abstract : Electrification of transportation is a major subject of research today, especially in air travel. The increasing number of electronics and cables also increases the interference between them. From this, interest grew to increase the accuracy of electromagnetic modeling of cables. READ MORE

  3. 2. 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

  4. 3. Complex Multiplicative Calculus and Mixed Problems

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Axel Lokrantz; [2022]
    Keywords : multiplicative integrals; multiplicative calculus; product integrals; geometric mean; continuous geometric mean; geometric mean of non-negative random variables; inequality of arithmetic and geometric means; A_G-G_A inequality; generalized Hölder s inequality; multiplicative vector spaces; multiplicative function spaces; exponential transition functor; logarithmic Riemann surface; lift; function lift; projection; function projection; lift-projection method; multivalued complex multiplicative integrals; geometric expectation; mixed differential equation; Lambert W function; W; M; w and m functions; Mathematics and Statistics;

    Abstract : In this thesis we consider multiplicative integrals and derivatives on functions on the positive numbers, the logarithmic Riemann surface and the punctured complex numbers. Additive structures on the real and complex numbers are related to their multiplicative counterparts on the positive numbers and the logarithmic Riemann surface by defining exponential transition functors. READ MORE

  5. 4. GPU-Accelerated Monte Carlo Geometry Processing for Gradient-Domain Methods

    University essay from Linköpings universitet/Medie- och Informationsteknik; Linköpings universitet/Tekniska fakulteten

    Author : Linus Mossberg; [2021]
    Keywords : Monte Carlo; geometry processing; partial differential equations; Poisson equation; seamless image editing; distance field; importance sampling; random walk on spheres;

    Abstract : This thesis extends the utility of the Monte Carlo approach to PDE-based methods presented in the paper Monte Carlo Geometry Processing. In particular, we implement this method on the GPU using CUDA, and investigate more viable methods of estimating the source integral when solving Poisson’s equation with intricate source terms. READ MORE

  6. 5. Entanglement in a quantum heat engine

    University essay from Lunds universitet/Matematisk fysik; Lunds universitet/Fysiska institutionen

    Author : Harald Öhrn; [2020]
    Keywords : Quantum physics; Entanglement; Quantum heat engine; Physics and Astronomy;

    Abstract : In 2015 Jonatan Bohr Brask et al. showed that steady-state entanglement could be generated in two interacting qubits incoherently coupled to thermal baths of different temperatures [1]. READ MORE