Sökning: "Differential Equation Algorithm"

Visar resultat 1 - 5 av 21 uppsatser innehållade orden Differential Equation Algorithm.

1. 1. Line Distance Protection in Power Grids with Variable Renewable Energy Sources : An Investigation on Time Domain Distance Protection via Parameter Estimation

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

   Författare :Ludvig Ringaby; [2023]
   Nyckelord :Distance protection; Power system protection; Time domain distance protection; Differential Equation Algorithm; Variable renewable energy; IBR; Distansskydd; Skyddssystem i elkraftsystem; Tidsdomän distansskydd; Differentialekvationsalgoritm; Variabel förnybar energi;

   Sammanfattning : Variable renewable energy sources typically connect to the power grid through power electronic interfaces. Increased use of such sources can cause issues for conventional distance protection. LÄS MER

3. 2. On the Modelling of Stochastic Gradient Descent with Stochastic Differential Equations

   Master-uppsats, Uppsala universitet/Analys och partiella differentialekvationer

   Författare :Martin Leino; [2023]
   Nyckelord :stochastic gradient descent; stochastic differential equations; statistical machine learning;

   Sammanfattning : Stochastic gradient descent (SGD) is arguably the most important algorithm used in optimization problems for large-scale machine learning. Its behaviour has been studied extensively from the viewpoint of mathematical analysis and probability theory; it is widely held that in the limit where the learning rate in the algorithm tends to zero, a specific stochastic differential equation becomes an adequate model of the dynamics of the algorithm. LÄS MER

4. 3. GPU-Accelerated Monte Carlo Geometry Processing for Gradient-Domain Methods

   Master-uppsats, Linköpings universitet/Medie- och Informationsteknik; Linköpings universitet/Tekniska fakulteten

   Författare :Linus Mossberg; [2021]
   Nyckelord :Monte Carlo; geometry processing; partial differential equations; Poisson equation; seamless image editing; distance field; importance sampling; random walk on spheres;

   Sammanfattning : This thesis extends the utility of the Monte Carlo approach to PDE-based methods presented in the paper Monte Carlo Geometry Processing. In particular, we implement this method on the GPU using CUDA, and investigate more viable methods of estimating the source integral when solving Poisson’s equation with intricate source terms. LÄS MER

5. 4. Comparative Analysis of Adaptive Domain Decomposition Algorithms for a Time-Spectral Method

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

   Författare :Vilhelm Dinevik; [2020]
   Nyckelord :;

   Sammanfattning : Time-spectral solvers for partial differential equations (PDE) have been explored in various forms during the last few decades. The generalized weighted residual method (GWRM) is one such method with a high accuracy and efficiency. The GWRM has so far been implemented almost exclusively with a uniform grid of subdomains in the spatial domain. LÄS MER

7. 5. Beräkningsmetoder för Molekylsimuleringar

   Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

   Författare :Viktor Sandström; [2019]
   Nyckelord :;

   Sammanfattning : Denna avhandling handlar om beräkningsmetoder för att utföra molekylsimuleringar på ett system av enkla partiklar. Genom att använda Lennard-Jones parpotential kan den attraktiva-repulsiva kraften som verkar på atomer och molekyler modelleras. LÄS MER