Essays about: "Runge-Kutta method"

Showing result 1 - 5 of 36 essays containing the words Runge-Kutta method.

  1. 1. 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. 2. A high-order artificial viscosity finite element method for the Vlasov-Poisson system

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Junjie Wen; [2023]
    Keywords : ;

    Abstract : We introduce a finite element method with high-order accuracy for approximating the Vlasov-Poisson system. This method uses continuous Lagrange polynomials as basis functions and employs explicit Runge-Kutta schemes for time discretization. A residual-based artificial viscosity technique is applied for stabilization. READ MORE

  4. 3. 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

  5. 4. 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

  6. 5. Optimization of the Runge-Kutta Method for the Steady State Advection-Diffusion Equation

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

    Author : Paulina Ibek; [2023]
    Keywords : Mathematics and Statistics;

    Abstract : .... READ MORE