Essays about: "methods: numerical"

Showing result 21 - 25 of 666 essays containing the words methods: numerical.

  1. 21. Numerical simulation of the non-linear Schrödinger equation A comparative study based on the summation-by-parts method in space and time

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Ibrohim Hamoud; [2023]
    Keywords : ;

    Abstract : In this work, we present the numerical implementation of various time marching methods based on the summation-by-parts (SBP) method for the time integration of nonlinear dispersive systems. More specifically, we consider the nonlinear Schrödinger (NLS) equation that accepts soliton or soliton-like solution as a primary case study. READ MORE

  3. 22. On linear Reaction-Diffusion systems and Network Controllability

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Rebecka Aulin; Felicia Hage; [2023]
    Keywords : Turing s model of morphogenesis; FDM; FEM; Controllability; Minimal Control; Least Energy Control;

    Abstract : In 1952 Alan Turing published his paper "The Chemical Basis of Morphogenesis", which described a model for how naturally occurring patterns, such as the stripes of a zebra and the spots of a leopard, can arise from a spatially homogeneous steady state through diffusion. Turing suggested that the concentration of the substances producing the patterns is determined by the reaction kinetics, how the substances interact, and diffusion. READ MORE

  4. 23. Improving Visibility Forecasts in Denmark Using Machine Learning Post-processing

    University essay from Uppsala universitet/Luft-, vatten- och landskapslära

    Author : August Thomasson; [2023]
    Keywords : visibility forecast; fog; machine learning; numerical weather predicition; XGBoost; Random Forest; siktprognos; dimma; maskininlärning; numerisk vädermodell; XGBoost; Random Forest;

    Abstract : Accurate fog prediction is an important task facing forecast centers since low visibility can affect anthropogenic systems, such as aviation. Therefore, this study investigates the use of Machine Learning classification algorithms for post-processing the output of the Danish Meteorological Institute’s operational Numerical Weather Prediction (NWP) model to improve visibility prediction. READ MORE

  5. 24. 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. 25. Improved Statistical Methods for Elliptic Stochastic Homogenization Problems : Application of Multi Level- and Multi Index Monte Carlo on Elliptic Stochastic Homogenization Problems

    University essay from Uppsala universitet/Tillämpad beräkningsvetenskap

    Author : Khalil Daloul; [2023]
    Keywords : Homogenization; Multilevel Monte Carlo; Multi-Index Monte Carlo; Monte Carlo; Multiscale methods;

    Abstract : In numerical multiscale methods, one relies on a coupling between macroscopic model and a microscopic model. The macroscopic model does not include the microscopic properties that the microscopic model offers and that are vital for the desired solution. READ MORE