Essays about: "differential equations"

Showing result 16 - 20 of 256 essays containing the words differential equations.

  1. 16. Minimizing network utilization in event-triggered control of multi-agent system

    University essay from Lunds universitet/Institutionen för reglerteknik

    Author : Anton Hässler; [2023]
    Keywords : Technology and Engineering;

    Abstract : The exact solution to a set of equations modeling the event-triggered control of a multi-agent system is derived and computed up to a specified error on the time between events. An attempt to minimize the number of events of the solution subject to bounds on overshoot and convergence time is made using a differential evolution method. READ MORE

  2. 17. Multibody simulations of vibrations in a truck’s steering system

    University essay from KTH/Matematik (Avd.)

    Author : Marcus Didenbäck; [2023]
    Keywords : Multibody simulation; Vibrations; Stiff differential equations; Equations of motion; Lagrange; Vehicle dynamics; Adams; Flerkroppssimulering; Vibrationer; Styva differentialekvationer; Rörelseekva-tioner; Lagrange; Fordonsdynamik; Adams;

    Abstract : This thesis aims to explore if multibody simulations is a suitable method to investigate vibrations in the steering system of trucks. Vibrations in the steering system and subsequently in the steering wheel is a common issue that automotive manufacturers face. READ MORE

  3. 18. Machine Learning Algorithms for Quantum Systems

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Oskar Fallgren; Adam Fredriksson; [2023]
    Keywords : ;

    Abstract : The Schrödinger equation is a fundamental differential equation in quantum mechanics, and solving it for general potentials is difficult even using numerical methods. In recent years, machine learning has become a popular tool for finding solutions to partial differential equations in general, and the Schrödinger equation in particular. READ MORE

  4. 19. Solving Partial Differential Equations With Neural Networks

    University essay from Uppsala universitet/Matematiska institutionen

    Author : Håkan Karlsson Faronius; [2023]
    Keywords : Partial differential equations; neural networks; physics-informed neural networks; deep ritz method; fourier neural operator; importance sampling; inverse problems;

    Abstract : In this thesis three different approaches for solving partial differential equa-tions with neural networks will be explored; namely Physics-Informed NeuralNetworks, Fourier Neural Operators and the Deep Ritz method. Physics-Informed Neural Networks and the Deep Ritz Method are unsupervised machine learning methods, while the Fourier Neural Operator is a supervised method. READ MORE

  5. 20. Reinforcement Learning for the Optimization of Explicit Runge-Kutta Method Parameters

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Mélanie Fournier; [2023]
    Keywords : reinforcement learning; numerical analysis; Runge-Kutta; policy gradient; REINFORCE; Mathematics and Statistics;

    Abstract : Reinforcement learning is one of the three main paradigms in machine learning, which is increasingly used as a method to approach scientific problems. In this thesis, we introduce and use reinforcement learning to find the optimal parameters of a numerical solver. READ MORE