Essays about: "Numerical Approximation"

Showing result 1 - 5 of 125 essays containing the words Numerical Approximation.

  1. 1. Randomized Diagonal Estimation

    University essay from KTH/Matematik (Avd.)

    Author : Niclas Joshua Popp; [2023]
    Keywords : Diagonal estimation; randomized numerical linear algebra; low-rank approximation; matrix functions; Diagonalestimering; randomiserad numerisk linjär algebra; lågrankad approximation; matrisfunktioner;

    Abstract : Implicit diagonal estimation is a long-standing problem that is concerned with approximating the diagonal of a matrix that can only be accessed through matrix-vector products. It is of interest in various fields of application, such as network science, material science and machine learning. READ MORE

  3. 2. Numerical Simulations of Resonant Tunnelling Diodes

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Love Sundström; Alexander Holmström Janeld; [2023]
    Keywords : Quantum mechanics; numerical methods; resonant tunnelling diode;

    Abstract : In this thesis, four different numerical techniques are implemented for the purpose of simulating resonant tunnelling diodes (RTDs). The chosen methods were: piecewise constant transfer matrix (TMM-C), piecewise linear transfer matrix (TMM-L), quantum transmitting boundary method (QTBM), and the Crank-Nicolson method (CN). READ MORE

  4. 3. The effect of disorder on the axial anomaly in a lattice model in 1 + 1 dimensions

    University essay from KTH/Fysik

    Author : Agnes Wattrang; [2023]
    Keywords : Axial anomaly; tight-binding model; semiclassical physics; correlated disorder.; Axial kiral anomali; tätbindningsmodell; semiklassisk fysik; korrelerad oordning;

    Abstract : This work investigates the effect of a disorder potential, that represents impurities/dislocations in the lattice, on the time-dependent signature of the axial anomaly in a one-band tight-binding model in one spatial dimension. The tight-binding model is solved numerically and the simulation results are compared with a semiclassical expression for the time-dependent axial density, n5(t), due to Nielsen and Ninomiya [1]. READ MORE

  5. 4. Solving Ordinary Differential Equations and Systems using Neural Network Methods

    University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Author : Mimmi Westrin; [2023]
    Keywords : Neural network methods; trial solutions; numerical methods; Lotka-Volterra system; SEIR model;

    Abstract : The applications of differential equations are many. However, many differential equations modelling real-world scenarios are very complex and it can be of great difficulty to find an exact solution if one even exists. Thus, it is of importance to be able to approximate solutions of differential equations. READ MORE

  6. 5. Simulation of low frequency acoustic waves in small rooms : An SBP-SAT approach to solving the time dependent acoustic wave equation in three dimensions

    University essay from

    Author : Alva Fährlin; Olle Edgren Schüllerqvist; [2023]
    Keywords : room acoustics; numerical methods; SBP; SAT; acoustic wave equation.;

    Abstract : Low frequency acoustic room behaviour can be approximated using numerical methods. Traditionally, music studio control rooms are built with complex geometries, making their eigenmodes difficult to predict mathematically. READ MORE