A mathematical model for the spread of COVID-19 and control mechanisms in Saudi Arabia

M Bachar, MA Khamsi, M Bounkhel - Advances in Difference Equations, 2021 - Springer
In this work, we develop and analyze a nonautonomous mathematical model for the spread
of the new corona-virus disease (COVID-19) in Saudi Arabia. The model includes eight time …

Accelerated steady-state torque computation for induction machines using parallel-in-time algorithms

D Bast, I Kulchytska-Ruchka… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article focuses on efficient steady-state computations of induction machines. In
particular, the periodic Parareal algorithm with the initial-value coarse problem (PP-IC) is …

[图书][B] Mathematical analysis and simulation of field models in accelerator circuits

IC Garcia - 2021 - books.google.com
This book deals with the analysis and development of numerical methods for the time-
domain analysis of multiphysical effects in superconducting circuits of particle accelerator …

Algorithm 1016: PyMGRIT: A python package for the parallel-in-time method MGRIT

J Hahne, S Friedhoff, M Bolten - ACM Transactions on Mathematical …, 2021 - dl.acm.org
In this article, we introduce the Python framework PyMGRIT, which implements the multigrid-
reduction-in-time (MGRIT) algorithm for solving (non-) linear systems arising from the …

Multirate schemes—an answer of numerical analysis to a demand from applications

A Bartel, M Günther - Novel Mathematics Inspired by Industrial Challenges, 2022 - Springer
In science and engineering, simulation tasks often involve numerical time integration of
differential equations. Usually, these systems contain different time constants of the involved …

Parallel-in-time simulation of an electrical machine using MGRIT

M Bolten, S Friedhoff, J Hahne, S Schöps - Computing and Visualization in …, 2020 - Springer
We apply the multigrid-reduction-in-time (MGRIT) algorithm to an eddy current simulation of
a two-dimensional induction machine supplied by a pulse-width-modulation signal. To …

[HTML][HTML] A space-time finite element method for the eddy current approximation of rotating electric machines

P Gangl, M Gobrial, O Steinbach - Computational Methods in Applied …, 2024 - degruyter.com
In this paper we formulate and analyze a space-time finite element method for the numerical
simulation of rotating electric machines where the finite element mesh is fixed in a space …

Parallel-in-Time Integration of Transient Phenomena in No-Insulation Superconducting Coils Using Parareal

E Schnaubelt, M Wozniak, J Dular, IC Garcia… - arXiv preprint arXiv …, 2024 - arxiv.org
High-temperature superconductors (HTS) have the potential to enable magnetic fields
beyond the current limits of low-temperature superconductors in applications like accelerator …

Efficient parallel-in-time solution of time-periodic problems using a multiharmonic coarse grid correction

I Kulchytska-Ruchka, S Schöps - SIAM Journal on Scientific Computing, 2021 - SIAM
This paper presents a highly parallelizable parallel-in-time algorithm for efficient solution of
nonlinear time-periodic problems. It is based on the time-periodic extension of the parareal …

Task graph-based performance analysis of parallel-in-time methods

M Bolten, S Friedhoff, J Hahne - Parallel Computing, 2023 - Elsevier
In this paper, we present a performance model based on task graphs for various iterative
parallel-in-time (PinT) methods. PinT methods have been developed to speed up the …