Sökning: "Runge-Kutta"
Visar resultat 1 - 5 av 49 uppsatser innehållade ordet Runge-Kutta.
1. Numerical simulation of the non-linear Schrödinger equation A comparative study based on the summation-by-parts method in space and time
Master-uppsats, Uppsala universitet/Institutionen för informationsteknologiSammanfattning : 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. LÄS MER
2. A high-order artificial viscosity finite element method for the Vlasov-Poisson system
Master-uppsats, Uppsala universitet/Institutionen för informationsteknologiSammanfattning : 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. LÄS MER
3. Reinforcement Learning for the Optimization of Explicit Runge-Kutta Method Parameters
Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumSammanfattning : 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. LÄS MER
4. Kvantdynamik hos NaI-molekylexciterad av ultrasnabbfemtosekundslaserpuls : Numerisk lösning av den explicit tidsberoendeSchrödingerekvationen
Kandidat-uppsats, Uppsala universitet/Institutionen för informationsteknologiSammanfattning : Detta projekt fokuserar på att undersöka dynamiken hos partiklar inom en-partikelsystem samt sammankopplade partiklar i tvåpartikelsystem genom tillämpning av numeriska metoder. Tvåpartikelsystemet som studeras är NaI-molekylen och dess dynamik, där beteendet undersöks efter systemet utsatts för en femtosekundslaserpuls. LÄS MER
5. Generating Perturbative Solutions for Slowly Rotating Perfect Fluids Using the Hartle Scheme
Uppsats för yrkesexamina på avancerad nivå, Umeå universitet/Institutionen för fysikSammanfattning : 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. LÄS MER