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The computation of electron repulsion integrals (ERIs) over Gaussian-type orbitals (GTOs) is a challenging problem in quantum-mechanics-based atomistic simulations. In practical simulations, several trillions of ERIs may have to be computed…

Hardware Architecture · Computer Science 2023-03-27 Xin Wu , Tobias Kenter , Robert Schade , Thomas D. Kühne , Christian Plessl

Classical simulation of quantum circuits remains indispensable for algorithm development, hardware validation, and error analysis in the noisy intermediate-scale quantum (NISQ) era. However, state-vector simulation faces exponential memory…

This paper describes some applications of GPU acceleration in ab initio nuclear structure calculations. Specifically, we discuss GPU acceleration of the software package MFDn, a parallel nuclear structure eigensolver. We modify the matrix…

Graphic Processing Units (GPUs) are getting increasingly important as target architectures in scientific High Performance Computing (HPC). NVIDIA established CUDA as a parallel computing architecture controlling and making use of the…

High Energy Physics - Lattice · Physics 2011-05-12 Frank Winter

Evolutionary computing (EC) has proven to be effective in solving complex optimization and robotics problems. Unfortunately, typical Evolutionary Algorithms (EAs) are constrained by the computational capacity available to researchers. More…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-19 Rustam Eynaliyev , Houcen Liu

Stochastic simulation techniques employed for the analysis of portfolios of insurance/reinsurance risk, often referred to as `Aggregate Risk Analysis', can benefit from exploiting state-of-the-art high-performance computing platforms. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-19 A. K. Bahl , O. Baltzer , A. Rau-Chaplin , B. Varghese , A. Whiteway

The emergence of artificial intelligence (AI) accelerators like NVIDIA Tensor Cores offers new opportunities to speed up tensor-heavy scientific computations. However, applying them to quantum chemistry is challenging due to strict accuracy…

Chemical Physics · Physics 2026-04-20 Hua Huang , Wenkai Shao , Jeff Hammond

Evaluating high-dimensional integrals via deep hierarchical recurrences is a dominant cost in quantum chemistry. While CPUs manage these efficiently, GPUs suffer a critical mismatch: limited per-thread memory is quickly overwhelmed by an…

Computational Physics · Physics 2026-05-14 Yihong Zhang , Xinran Wei , Junshi Chen , Fusong Ju , Wei Hu , Jinlong Yang , Huanhuan Xia

Extensions to the C++ implementation of the QCD Data Parallel Interface are provided enabling acceleration of expression evaluation on NVIDIA GPUs. Single expressions are off-loaded to the device memory and execution domain leveraging the…

High Energy Physics - Lattice · Physics 2011-11-24 Frank Winter

This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An…

Computational Engineering, Finance, and Science · Computer Science 2016-09-21 J. -F. Remacle , R. Gandham , T. Warburton

Nowadays, several industrial applications are being ported to parallel architectures. In fact, these platforms allow acquire more performance for system modelling and simulation. In the electric machines area, there are many problems which…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-25 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarch , Yvonnick Le Menach , Jean-Luc Dekeyser

In this work, we present an extension of Gaussian process (GP) models with sophisticated parallelization and GPU acceleration. The parallelization scheme arises naturally from the modular computational structure w.r.t. datapoints in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Zhenwen Dai , Andreas Damianou , James Hensman , Neil Lawrence

Applying quantum chemistry algorithms to large-scale systems requires substantial computational resources scaled with the system size and the desired accuracy. To address this, ByteQC, a fully-functional and efficient package for…

In the next decade, the demands for computing in large scientific experiments are expected to grow tremendously. During the same time period, CPU performance increases will be limited. At the CERN Large Hadron Collider (LHC), these two…

High-speed chemically active flows present significant computational challenges due to their disparate space and time scales, where stiff chemistry often dominates simulation time. While modern supercomputing scientific codes achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Anthony Carreon , Jagmohan Singh , Shivank Sharma , Shuzhi Zhang , Venkat Raman

Recent progress in artificial intelligence (AI) and high-performance computing (HPC) have brought potentially game-changing opportunities in accelerating reactive flow simulations. In this study, we introduce an open-source computational…

Computational Engineering, Finance, and Science · Computer Science 2023-12-22 Runze Mao , Yingrui Wang , Min Zhang , Han Li , Jiayang Xu , Xinyu Dong , Yan Zhang , Zhi X. Chen

This work presents the GPU acceleration of the open-source code CaNS for very fast massively-parallel simulations of canonical fluid flows. The distinct feature of the many-CPU Navier-Stokes solver in CaNS is its fast direct solver for the…

Fluid Dynamics · Physics 2021-02-15 Pedro Costa , Everett Phillips , Luca Brandt , Massimiliano Fatica

We introduce a GPU-accelerated implementation of time-dependent density functional theory with the minimal auxiliary basis approach (TDDFT-risp) in GPU4PySCF, together with large system demonstrations carried out using the Tamm--Dancoff…

Chemical Physics · Physics 2026-04-01 Zehao Zhou , Xiaojie Wu , Yanheng Li , Xinran Wei , Cheng Fan , Fusong Ju , Qiming Sun , Yi Qin Gao

We accelerate many-flavor lattice QCD simulations using multiple GPUs. Multiple pseudo-fermion fields are introduced additively and independently for each flavor in the many-flavor HMC algorithm. Using the independence of each…

High Energy Physics - Lattice · Physics 2011-01-27 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno , N. Yamada

In recent years, high performance scientific computing on graphics processing units (GPUs) have gained widespread acceptance. These devices are designed to offer massively parallel threads for running code with general purpose. There are…

Mathematical Software · Computer Science 2018-02-13 Tao Cui , Xiaohu Guo , Hui Liu