Sökning: "Ordinary differential equations"

Visar resultat 6 - 10 av 59 uppsatser innehållade orden Ordinary differential equations.

  1. 6. The combination of SFDI with a mathematical model links perturbation in microcirculation to early stages of sepsis

    Master-uppsats, Linköpings universitet/Institutionen för medicinsk teknik

    Författare :Caroline Korsfeldt; Sara Karajica; [2022]
    Nyckelord :SFDI; SFDS; mathematical modeling; sepsis;

    Sammanfattning : The microcirculation system is crucial for the function of delivering biological markers such as oxygen and removing carbon dioxide from all the cells forming the complex ma- trix of tissue in the body. To keep up with the demands of each and every cell, there is a response from the microvasculature - resulting from for instance changes in blood flow to the tissue area. LÄS MER

  3. 7. Modelling and Simulation of Complete Wheel Loader in Modelica : Evaluation using Modelon Impact software

    Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Författare :Paolo Teta; [2022]
    Nyckelord :Modelica; Wheel Loader; Mechanics; Object-orientation; Modelling; Simulation; Differential Algebraic Equations; Ordinary Differential Equations; Modelica; Hjullastare; Mekanik; Objektorientering; Modellering; Simulering; Differentialekvationer;

    Sammanfattning : Modelling and simulation of complex and multi-domain mechanical systems has become of major importance in the last few years to address energy and fuel consumption performance evaluation. The goal is to unify the available modelling languages aiming to improve scalability and easiness of handling complex multi-domain models. LÄS MER

  4. 8. Numeriska fouriertransformen och dess användning : En introduktion

    Kandidat-uppsats, Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Kristoffer Tondel; [2022]
    Nyckelord :Fast Fourier Transform; FFT; Discrete Fourier transform; DFT; Scientific Computing; Partial differential equation; PDE; Williamsons Runga-Kutta; Fast Fourier Transform; FFT; Diskreta fouriertransformen; DFT; Beräkningsmatematik; Partiella differential ekvation; PDE; Williamsons Runga-Kutta;

    Sammanfattning : The aim of this bachelor's thesis is to use three variants of the discrete Fourier transform (DFT) and compare their computational cost. The transformation will be used to numerically solve partial differential equations (PDE). In its simplest form, the DFT can be regarded as a matrix multiplication. LÄS MER

  5. 9. A Physics-Informed Deep Learning Framework for Solving Inverse Problems in Epidemiology

    Master-uppsats, KTH/Optimeringslära och systemteori

    Författare :Magnus Tronstad; [2022]
    Nyckelord :;

    Sammanfattning : This thesis develops and evaluates a physics-informed neural network (PINN) modelling framework for solving inverse problems in epidemiology. The PINN works by modifying the standard mean squared error loss function of the neural network, by adding a term penalizing deviations from a given compartmental model's system of ordinary differential equations. LÄS MER

  7. 10. Physics-informed Neural Networks for Biopharma Applications

    Uppsats för yrkesexamina på avancerad nivå, Umeå universitet/Institutionen för fysik

    Författare :Linnéa Cedergren; [2021]
    Nyckelord :PINN; PINNs; physics-informed neural networks; neural networks; machine learning; sartorius; CSTR;

    Sammanfattning : Physics-Informed Neural Networks (PINNs) are hybrid models that incorporate differential equations into the training of neural networks, with the aim of bringing the best of both worlds. This project used a mathematical model describing a Continuous Stirred-Tank Reactor (CSTR), to test two possible applications of PINNs. LÄS MER