Essays about: "Ordinary Differential Equations"

Showing result 1 - 5 of 52 essays containing the words Ordinary Differential Equations.

  1. 1. 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

  3. 2. Change in uptake and transfer of zinc in the food chain when predatory fish disappear from the system

    University essay from Uppsala universitet/Institutionen för geovetenskaper

    Author : Sara Westerström; [2023]
    Keywords : Aquatic food web; Food chain structure; Trophic transfer; Decline of top predators; Stage-structured biomass model; Pollutants; Heavy metals; Zinc; Akvatisk födoväv; Födovävsstruktur; Trofisk överföring; Minskning av toppredatorer; Stegstrukturerad biomassamodell; Föroreningar; Tungmetaller; Zink;

    Abstract : There is a widespread distribution of possibly toxic heavy metals, such as zinc, in aquatic ecosystems. Simultaneously aquatic food webs are changing due to declining predatory fish stocks. READ MORE

  4. 3. Generating Perturbative Solutions for Slowly Rotating Perfect Fluids Using the Hartle Scheme

    University essay from Umeå universitet/Institutionen för fysik

    Author : Elin Johansson; [2023]
    Keywords : ;

    Abstract : In this thesis, we study slowly rotating relativistic stars by modeling them as perfect fluids. The Hartle formalism is used to perturb a spherically symmetric static solution into slow rotation and the corresponding field equations to second order are presented. READ MORE

  5. 4. Mathematical modelling of microvascular oxygen transport and the impact of blood pressure

    University essay from Linköpings universitet/Institutionen för medicinsk teknik

    Author : Siri Walmstedt; [2023]
    Keywords : Mathematical modelling; Microcirculation; Oxygen transport; Blood pressure; Hypertension; Systems biology;

    Abstract : Cardiovascular diseases are the most common cause of death worldwide. There are known risk factorsfor cardiovascular diseases, such as high blood pressure, and it is also known that cardiovasculardiseases are associated with both the macrocirculation and the microcirculation. READ MORE

  6. 5. Parameter Update Schemes for Hidden Markov Models applied to Financial Returns

    University essay from Lunds universitet/Matematisk statistik

    Author : Sigfrid Forsberg; [2022]
    Keywords : Markov Chain; Finance; Hidden Markov Model; Generalized Autoregressive Score Model; S P-500; Nikkei; Adaptive Model; Volatility; Regime-switching Model; Line-Search Algorithm; Predictor-Corrector; Quasi-Newton; Mathematics and Statistics;

    Abstract : This thesis was dedicated to investigating the use of different parameter update schemes for Hidden Markov models with time-varying parameters, with an emphasis on developing alternatives to the quasi-Newton step. The focus was on applications to financial returns, using data from the S\&P-500 and the Nikkei index, and for comparison, a trial using synthetic data was also performed. READ MORE