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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

The use of Euler-Lagrange methods on unstructured grids extends their application area to more versatile setups. However, the lack of a regular topology limits the scalability of distributed parallel methods, especially for routines that…

Computational Physics · Physics 2022-10-14 Patrick Kopper , Stephen Copplestone , Marcel Pfeiffer , Christian Koch , Stefanos Fasoulas , Andrea Beck

Scaling deep neural network (DNN) training to more devices can reduce time-to-solution. However, it is impractical for users with limited computing resources. FOSI, as a hybrid order optimizer, converges faster than conventional optimizers…

Machine Learning · Computer Science 2025-08-05 Shunxian Gu , Chaoqun You , Bangbang Ren , Lailong Luo , Junxu Xia , Deke Guo

Robust dynamic operating envelopes (RDOEs) solve the problem of secure allocation of latent network capacity to flexible distributed energy resources (DER) in unbalanced distribution networks. As the computational complexity of RDOEs is…

Optimization and Control · Mathematics 2024-07-25 Bin Liu , Julio H. Braslavsky

This paper investigates distributed control and incentive mechanisms to coordinate distributed energy resources (DERs) with both continuous and discrete decision variables as well as device dynamics in distribution grids. We formulate a…

Optimization and Control · Mathematics 2019-07-16 Xinyang Zhou , Emiliano Dall'Anese , Lijun Chen

Splitting is a method to handle application problems by splitting physics, scales, domain, and so on. Many splitting algorithms have been designed for efficient temporal discretization. In this paper, our goal is to use temporal splitting…

Numerical Analysis · Mathematics 2022-08-17 Yalchin Efendiev , Wing Tat Leung , Guang Lin , Zecheng Zhang

Neutral atom quantum computing's great scaling potential has resulted in it emerging as a popular modality in recent years. For state preparation, atoms are loaded stochastically and have to be detected and rearranged at runtime to create a…

Emerging Technologies · Computer Science 2025-09-16 Jonas Winklmann , Martin Schulz

In this paper, we develop a high order residual distribution (RD) method for solving steady state conservation laws in a novel Hermite weighted essentially non-oscillatory (HWENO) framework recently developed in [24]. In particular, we…

Numerical Analysis · Mathematics 2022-03-14 Jianfang Lin , Yupeng Ren , Rémi Abgrall , Jianxian Qiu

In the present work, a high order finite element type residual distribution scheme is designed in the framework of multidimensional compressible Euler equations of gas dynamics. The strengths of the proposed approximation rely on the…

Numerical Analysis · Mathematics 2023-01-16 Remi Abgrall , Paola Bacigaluppi , Tokareva Svetlana

By a high-order numerical homogenization method, a heterogeneous multiscale scheme was developed in Jin & Li (2022) for evolving differential equations containing two time scales. In this paper, we further explore the technique to propose…

Numerical Analysis · Mathematics 2025-09-25 Bojin Chen , Zeyu Jin , Ruo Li

Quantum-based molecular dynamics (QMD) is a highly accurate and transferable method for material science simulations. However, the time scales and system sizes accessible to QMD are typically limited to picoseconds and a few hundred atoms.…

A major challenge to implementing residential demand response is that of aligning the objectives of many households, each of which aims to minimize its payments and maximize its comfort level, while balancing this with the objectives of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Sleiman Mhanna , Archie Chapman , Gregor Verbic

The transition to the zero-carbon power system is underway accelerating recently. Hydrogen energy and electric vehicles (EVs) are promising solutions on the supply and demand sides. This paper presents a novel architecture that includes…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Teng Long , Qing-Shan Jia

All-electron calculations play an important role in density functional theory, in which improving computational efficiency is one of the most needed and challenging tasks. In the model formulations, both nonlinear eigenvalue problem and…

Computational Physics · Physics 2020-07-29 Bin Gao , Guanghui Hu , Yang Kuang , Xin Liu

Hybrid high-order (HHO) methods are numerical methods characterized by several interesting properties such as local conservativity, geometric flexibility and high-order accuracy. Here, HHO schemes are studied for the space…

Numerical Analysis · Mathematics 2025-10-06 Romain Mottier , Alexandre Ern , Laurent Guillot

Strong multiple scattering of the probe in scanning transmission electron microscopy (STEM) means image simulations are usually required for quantitative interpretation and analysis of elemental maps produced by electron energy-loss…

Materials Science · Physics 2019-12-25 Hamish G. Brown , Jim Ciston , Colin Ophus

The ever increasing penetration of plug-in hybrid electric vehicles in distribution systems has triggered the need for a more accurate and at the same time fast solution to probabilistic distribution power flow problem. In this paper a…

Signal Processing · Electrical Eng. & Systems 2017-10-31 Mohammadhadi Rouhani , Mohammad Mohammadi

A new, very fast, implementation of the exact (Fock) exchange operator for electronic structure calculations within the plane-wave pseudopotential method is described in detail for both molecular and periodic systems, and carefully…

Materials Science · Physics 2018-12-12 Ivan Carnimeo , Stefano Baroni , Paolo Giannozzi

The modelling and analysis of biological systems has deep roots in Mathematics, specifically in the field of ordinary differential equations (ODEs). Alternative approaches based on formal calculi, often derived from process algebras or term…

Programming Languages · Computer Science 2010-11-03 Mario Coppo , Ferruccio Damiani , Maurizio Drocco , Elena Grassi , Eva Sciacca , Salvatore Spinella , Angelo Troina

The implementation of a full electronic structure calculation code on a hybrid parallel architecture with Graphic Processing Units (GPU) is presented. The code which is on the basis of our implementation is a GNU-GPL code based on…