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To solve optimization problems with parabolic PDE constraints, often methods working on the reduced objective functional are used. They are computationally expensive due to the necessity of solving both the state equation and a…

Optimization and Control · Mathematics 2019-12-17 Sebastian Götschel , Michael L. Minion

The paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions. We firstly obtain a fully discrete scheme via using the linear finite element method to…

Numerical Analysis · Mathematics 2018-05-18 Xiaoqiang Yue , Shi Shu , Xiaowen Xu , Weiping Bu , Kejia Pan

We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an…

Numerical Analysis · Mathematics 2023-01-31 Raphael Watschinger , Michal Merta , Günther Of , Jan Zapletal

As CPU clock speeds have stagnated and high performance computers continue to have ever higher core counts, increased parallelism is needed to take advantage of these new architectures. Traditional serial time-marching schemes can be a…

Numerical Analysis · Mathematics 2022-08-29 David A. Vargas , Robert D. Falgout , Stefanie Günther , Jacob B. Schroder

In this article we present a parallel algorithm for simulation of the heat conduction process inside the so-called pulse cryogenic cell. This simulation is important for designing the device for portion injection of working gases into…

Computational Engineering, Finance, and Science · Computer Science 2019-12-10 A. Ayriyan , J. Buša

Many iterative parallel-in-time algorithms have been shown to be highly efficient for diffusion-dominated partial differential equations (PDEs), but are inefficient or even divergent when applied to advection-dominated PDEs. We consider the…

Numerical Analysis · Mathematics 2022-04-26 H. De Sterck , R. D. Falgout , O. A. Krzysik

In this paper a new adaptive algorithm for multi-rate circuit simulation encountered in the design of RF circuits based on spline wavelets is presented. The circuit ordinary differential equations are first rewritten by a system of…

Numerical Analysis · Mathematics 2016-04-26 Kai Bittner , Hans Georg Brachtendorf

Electromagnetic transient (EMT) simulation is a crucial tool for power system dynamic analysis because of its detailed component modeling and high simulation accuracy. However, it suffers from computational burdens for large power grids…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Min Xiong , Kaiyang Huang , Yang Liu , Rui Yao , Kai Sun , Feng Qiu

Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

With steadily increasing parallelism for high-performance architectures, simulations requiring a good strong scalability are prone to be limited in scalability with standard spatial-decomposition strategies at a certain amount of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-01 Martin Schreiber , Adam Peddle , Terry Haut , Beth Wingate

The modular multilevel converter (MMC) is a promising converter technology for various highvoltage high-power applications. The reason to that is low-distortion output quantities can be achieved with low average switching frequencies per…

High Energy Physics - Experiment · Physics 2025-01-03 Khushbu Saradva , Meeta Matnani , Tapankumar Trivedi

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

Computational Physics · Physics 2013-11-20 R. Meyer

This paper addresses the problem of output voltage regulation for multiple DC/DC converters connected to a microgrid, and prescribes a scheme for sharing power among different sources. This architecture is structured in such a way that it…

Optimization and Control · Mathematics 2017-01-12 Mayank Baranwal , Alireza Askarian , Srinivasa M. Salapaka

In this project we evaluate a framework for synchronization of mixed machine-converter power grids. Synchronous machines are assumed to be actuated by mechanical torque injections, while the converters by DC-side current injections. As this…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Aidar Zhetessov

In this article, we present a parallel discretization and solution method for parabolic problems with a higher number of space dimensions. It consists of a parallel-in-time approach using the multigrid reduction-in-time algorithm MGRIT with…

Numerical Analysis · Mathematics 2026-05-01 Michael Griebel , Marc Alexander Schweitzer , Lukas Troska

The applicability of the Parareal parallel-in-time integration scheme for the solution of a linear, two-dimensional hyperbolic acoustic-advection system, which is often used as a test case for integration schemes for numerical weather…

Computational Engineering, Finance, and Science · Computer Science 2015-10-09 Daniel Ruprecht , Rolf Krause

In this work, we investigate the potential utility of parallelization for meeting real-time constraints and minimizing energy. We consider malleable Gang scheduling of implicit-deadline sporadic tasks upon multiprocessors. We first show the…

Operating Systems · Computer Science 2013-02-08 Nathan Fisher , Joël Goossens , Pradeep M. Hettiarachchi , Antonio Paolillo

This paper proposes a general formulation for temporal parallelisation of dynamic programming for optimal control problems. We derive the elements and associative operators to be able to use parallel scans to solve these problems with…

Optimization and Control · Mathematics 2022-01-25 Simo Särkkä , Ángel F. García-Fernández

This paper provides a simple introduction to pulse width modulation control techniques used for the control of power converters in the context of electric motor drive systems. A summary of each technique is presented along with analytical…

Systems and Control · Electrical Eng. & Systems 2023-10-06 Prerit Pramod

This manuscript reports the first step towards building a robust and efficient model reduction methodology to capture transient dynamics in a transmission level electric power system. Such dynamics is normally modeled on…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Laurent Pagnier , Michael Chertkov , Julian Fritzsch , Philippe Jacquod