Essays about: "matrix exponential"

Showing result 1 - 5 of 7 essays containing the words matrix exponential.

  1. 1. 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

  3. 2. Embedded eigenvalues for asymptotically periodic ODE Systems

    University essay from Lunds universitet/Matematik LTH

    Author : Wilhelm Treschow; [2022]
    Keywords : embedded eigenvalue perturbation theory ODE theory; Mathematics and Statistics;

    Abstract : In this thesis we investigate the persistance of embedded eigenvalues under perturbations of a certain self-adjoint Schrödinger-type differential operator in L^2(\mathbb{R},\mathbb{R}^n), with an asymptotically periodic potential. The studied perturbations are small and belong to a certain Banach space with a specified decay rate, in particular, a weighted space of continuous matrix valued functions. READ MORE

  4. 3. A Numerical Investigation of Different Methods for Computing the Matrix Exponential

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

    Author : Yvonne Cherotich; [2021]
    Keywords : matrix exponential; algorithms; efficiency; accuracy; Mathematics and Statistics;

    Abstract : Matrix functions and their applications play an important role in different fields of science and engineering. The matrix exponential is one of the most important and extensively used function of matrices. The computation of the exponential of a matrix is an interesting topic that has been extensively studied over the years. READ MORE

  5. 4. Evaluation of Finite Element simulation methods for High Cycle Fatigue on engine components

    University essay from Linköpings universitet/Mekanik och hållfasthetslära

    Author : Oscar Pacheco Roman; [2018]
    Keywords : High Cycle Fatigue; HCF; Virtual Vibrations; VROM; VFEM; Virtual Channels; Random Vibrations; Engine Vibrations; FEM; Abaqus;

    Abstract : This document reflects the results of evaluating three computational methods to analyse the fatigue life of components mounted on the cylinder block; two currently in use at Scania and one that has been further developed from its previous state. Due to the cost of testing and the exponential increase in computational power throughout the years, the cheaper computational analyses have gained in popularity. READ MORE

  6. 5. TRAFFIC SIMULATIONS THROUGH ODE-, DDE SYSTEM MODELING AND NUMERICAL COMPUTATIONS

    University essay from KTH/Matematik (Inst.)

    Author : Niklas Carl Simom Kleyer; [2014]
    Keywords : ;

    Abstract : This report is written as a project to conclude the three year bachelor part of a five year degree in engineering and will as such target students finishing their three year bachelor degrees. The main topic of this project is traffic simulation through numerical analysis, with the accompanying subtopics time integration, eigenvalue analysis and computation complexity. READ MORE