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The goal of the state estimation (SE) algorithm is to estimate complex bus voltages as state variables based on the available set of measurements in the power system. Because phasor measurement units (PMUs) are increasingly being used in…

Machine Learning · Computer Science 2023-02-02 Ognjen Kundacina , Mirsad Cosovic , Dejan Vukobratovic

We present a massively parallel, GPU-accelerated implementation of the Bethe-Salpeter equation (BSE) for the calculation of the vertical excitation energies (VEEs) and optical absorption spectra of condensed and molecular systems, starting…

Materials Science · Physics 2024-12-25 Victor Wen-zhe Yu , Yu Jin , Giulia Galli , Marco Govoni

The power system state estimation (SE) algorithm estimates the complex bus voltages based on the available set of measurements. Because phasor measurement units (PMUs) are becoming more widely employed in transmission power systems, a fast…

Machine Learning · Computer Science 2022-06-07 Ognjen Kundacina , Mirsad Cosovic , Dejan Vukobratovic

Power system state estimation plays a fundamental and critical role in the energy management system (EMS). To achieve a high performance and accurate system states estimation, a graph computing based distributed state estimation approach is…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-25 Yi Lu , Chen Yuan , Xiang Zhang , Hua Huang , Guangyi Liu , Renchang Dai , Zhiwei Wang

We develop a matrix-free Full Approximation Storage (FAS) multigrid solver based on staggered finite differences and implemented on GPU in MATLAB. To enhance performance, intermediate variables are reused, and an X-shape Multi-Color…

Numerical Analysis · Mathematics 2025-10-14 Jiale Meng , Shuqi Tang , Steven M. Wise , Zhenlin Guo

As a first approximation beyond linearity, the nonlinear Schr\"odinger equation (NLSE) reliably describes a broad class of physical systems. Though numerical solutions of this model are well-established, these methods can be computationally…

Quantum Gases · Physics 2022-03-25 Benjamin D. Smith , Logan W. Cooke , Lindsay J. LeBlanc

Traditional optimization-based techniques for time-synchronized state estimation (SE) often suffer from high online computational burden, limited phasor measurement unit (PMU) coverage, and presence of non-Gaussian measurement noise.…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Shiva Moshtagh , Behrouz Azimian , Mohammad Golgol , Anamitra Pal

Structured Adaptive Mesh Refinement (SAMR) is a popular numerical technique to study processes with high spatial and temporal dynamic range. It reduces computational requirements by adapting the lattice on which the underlying differential…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Ralf Kaehler , Tom Abel

This chapter aspires to glean some of the recent advances in power system state estimation (PSSE), though our collection is not exhaustive by any means. The Cram{\'e}r-Rao bound, a lower bound on the (co)variance of any unbiased estimator,…

Systems and Control · Computer Science 2017-08-15 Vassilis Kekatos , Gang Wang , Hao Zhu , Georgios B. Giannakis

We present a GPU-accelerated version of the real-space SPARC electronic structure code for performing Kohn-Sham density functional theory calculations within the local density and generalized gradient approximations. In particular, we…

Computational Physics · Physics 2023-06-14 Abhiraj Sharma , Alfredo Metere , Phanish Suryanarayana , Lucas Erlandson , Edmond Chow , John E. Pask

An accurate and up-to-date topology is critical for situational awareness of a power grid; however, wrong switch statuses due to physical damage, communication error, or cyber-attack, can often result in topology errors. To maintain…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Shimiao Li , Amritanshu Pandey , Larry Pileggi

This paper presents a GPU-accelerated simulation package, TRED, for next-generation neutrino detectors with pixelated charge readout, leveraging community-driven software ecosystems to ensure sustainability and extensibility. We introduce…

Instrumentation and Detectors · Physics 2026-02-13 Yousen Zhang , Brett Viren , Mary Bishai , Sergey Martynenko , Xin Qian , Rado Razakamiandra , Brooke Russell

The prediction of a dielectric breakdown in a high-voltage device is based on criteria that evaluate the electric field along field lines. Therefore it is necessary to efficiently compute the electric field at arbitrary points in space. A…

Numerical Analysis · Mathematics 2020-11-03 Cedric Münger , Steffen Börm , Jörg Ostrowski

This paper presents a Graphics Processing Units (GPUs) acceleration method of an iterative scheme for gas-kinetic model equations. Unlike the previous GPU parallelization of explicit kinetic schemes, this work features a fast converging…

Computational Physics · Physics 2020-01-08 Lianhua Zhu , Peng Wang , Songze Chen , Zhaoli Guo , Yonghao Zhang

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

Deregulation of energy markets, penetration of renewables, advanced metering capabilities, and the urge for situational awareness, all call for system-wide power system state estimation (PSSE). Implementing a centralized estimator though is…

Machine Learning · Statistics 2012-07-03 Vassilis Kekatos , Georgios B. Giannakis

We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral spatial dis-cretization scheme for computing the ground states (GS) of rotating Bose-Einstein condensates (BEC), modeled by the Gross-Pitaevskii…

Numerical Analysis · Mathematics 2017-05-24 Xavier Antoine , Antoine Levitt , Qinglin Tang

Distribution system state estimation (DSSE) is an essential tool for operation of distribution networks, the results of which enables the operator to have a thorough observation of the system. Thus, most distribution management systems…

Systems and Control · Computer Science 2015-04-15 Vahid Rasouli Disfani , Mohammad Chehreghani Bozchalui , Ratnesh Sharma

We demonstrate a GPU-accelerated nested sampling framework for efficient high-dimensional Bayesian inference in cosmology. Using JAX-based neural emulators and likelihoods for cosmic microwave background and cosmic shear analyses, our…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Toby Lovick , David Yallup , Davide Piras , Alessio Spurio Mancini , Will Handley

We report numerical results on solving constrained linear-quadratic model predictive control (MPC) problems by exploiting graphics processing units (GPUs). The presented method reduces the MPC problem by eliminating the state variables and…

Optimization and Control · Mathematics 2026-05-11 David Cole , Sungho Shin , François Pacaud , Victor M. Zavala , Mihai Anitescu
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