Essays about: "discretisation"

Showing result 1 - 5 of 12 essays containing the word discretisation.

  1. 1. Numerical Simulations of Metal Recovery for Battery Recycling

    University essay from KTH/Processteknologi

    Author : Morgan Ölander; [2023]
    Keywords : Batteriåtervinning; Metall återvinning; Kristallisation; Computational Fluid Dynamics CFD ; Populationsbalansmodellering; Battery recycling; Metal recovery; Crystallisation; Computational Fluid Dynamics CFD ; Population balance modelling;

    Abstract : Den pågående elektrifieringen av transport och samhälle kräver utveckling av nya metoder för återvinning av batterier. Hydrometallurgi som fokuserar på selektiv kristallisation av metaller är ett intressant alternativ för dessa ändamål. Dessa system kan studeras genom modellering och simulering. READ MORE

  3. 2. Approximating the element matrices in an unfitted finite element method using neural networks

    University essay from Umeå universitet/Institutionen för fysik

    Author : Amanda Bertgren; [2022]
    Keywords : Finite element method; CutFEM; neural networks; machine learning;

    Abstract : This study investigates the possibility of combining an unfitted finite element method, CutFEM, with neural networks, in an attempt to reduce the computational time on evolving domains. Finite element methods are used to solve partial differential equations by fitting a spatial and temporal discretisation to the momentous domain. READ MORE

  4. 3. Pricing Put Options with Multilevel Monte Carlo Simulation

    University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Author : Jonathan Schöön; [2021]
    Keywords : Multilevel Monte Carlo Simulation”; ”European Put Option Pricing” ”Stochastic Differential Equations;

    Abstract : Monte Carlo path simulations are common in mathematical and computational finance as a way of estimating the expected values of a quantity such as a European put option, which is functional to the solution of a stochastic differential equation (SDE). The computational complexity of the standard Monte Carlo (MC) method grows quite large quickly, so in this thesis we focus on the Multilevel Monte Carlo (MLMC) method by Giles, which uses multigrid ideas to reduce the computational complexity. READ MORE

  5. 4. A Matrix-less Method for Approximating the Eigenvectors of Toeplitz-like Matrices

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : David Meadon; [2021]
    Keywords : ;

    Abstract : Matrix-less methods (MLM) have successfully been used to efficiently approximate the eigenvalues of certain classes of structured matrices. Specifically, the method has been used to approximate the eigenvalues of Toeplitz and Toeplitz-like matrices. READ MORE

  6. 5. Numerical Analysis of the Two Dimensional Wave Equation : Using Weighted Finite Differences for Homogeneous and Hetrogeneous Media

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Christian Böhme; Anton Holmberg; Martin Nilsson Lind; [2020]
    Keywords : hetrogeneous media; variable wave speed; wave equation; finite differences; gamma method; multigrid; weighted central difference; numerical analysis; agmg; gamma discretisation; two dimensional wave equation;

    Abstract : This thesis discusses properties arising when finite differences are implemented forsolving the two dimensional wave equation on media with various properties. Both homogeneous and heterogeneous surfaces are considered. READ MORE