Essays about: "Linear system of equations"

Showing result 1 - 5 of 86 essays containing the words Linear system of equations.

  1. 1. A theoretical framework for interpretation and prediction of magneto-optical measurements

    University essay from Uppsala universitet/Materialteori

    Author : Viktor Frilén; [2023]
    Keywords : moke; tmoke; lmoke; pmoke; magneto-optical effects; layered media; dielectric function; maxwells equations; dielectric tensor; linear respons; magnetism; light induced transistions; DFT; SO;

    Abstract : The interplay of experiments and theory is essential to deepen our understanding of magnetization dynamics. This thesis aims to serve as a bridge between these two aspects by establishing a mathematical framework that enables the computation of optical observable quantities based on theoretical models. READ MORE

  3. 2. A review of the Kaczmarz method

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

    Author : Carl Lokrantz; [2023]
    Keywords : Kaczmarz method; Least squares; Image reconstruction; Iterative method; Linear system of equations; Projection; Numerical Linear Algebra; Block Kaczmarz; Greedy Kaczmarz; Randomized Kaczmarz; Mathematics and Statistics;

    Abstract : The Kaczmarz method is an iterative method for solving linear systems of equations. The Kaczmarz method has been around since it was developed by Kaczmarz 1937. The main idea behind the original Kaczmarz method is to orthogonally project the previous x_k onto the solution space given by a row of the system. READ MORE

  4. 3. Fracture simulation with a hyperelastic phase field model

    University essay from KTH/Hållfasthetslära

    Author : Adrien Fradet; [2023]
    Keywords : Fracture; Phase field modeling; Hyperelasticity; Brott; fasfält-methoden; hyperelasticite;

    Abstract : The phase field method is a versatile tool to study crack initiation and propagation in systems with complex geometries. Based on a variational formulation of the equilibrium equations, the sharp crack topology is regularized by a crack with diffusive edges and the damage is described by a continuous phase field variable. READ MORE

  5. 4. Rotor temperature estimation in Induction Motors with Supervised Machine Learning

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Christopher Gauffin; [2023]
    Keywords : Induction motors; Supervised Machine learning; Power converters; Parameter estimation; Embedded systems; Induktionsmotorer; Övervakad maskininlärning; Strömkonverterare; Parameterestimering; Inbyggda system;

    Abstract : The electrification of the automotive industry and artificial intelligence are both growing rapidly and can be greatly beneficial for a more sustainable future when combined. Induction machines exhibit many complex relationships between physical and electromagnetic properties that must be calculated in order to produce the correct quantities of torque and speed commanded by the driver. READ MORE

  6. 5. An Introduction to Hitchin Systems

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

    Author : Manuel Neumayer; [2023]
    Keywords : Mathematics and Statistics;

    Abstract : This thesis aims to introduce the tools that are needed to understand — and historically led to the inception of — Hitchin systems. We lay out a basic theory of Hamiltonian systems on symplectic manifolds, and prove the Liouville-Arnold theorem, which states that integrable Hamiltonian systems admit coordinates in which their solution is basically linear. READ MORE