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To overcome the performance limitations in modern computing, such as the power wall, emerging computing paradigms are gaining increasing importance. Approximate computing offers a promising solution by substantially enhancing energy…

Emerging Technologies · Computer Science 2024-12-23 Melanie Qiu , Caoyueshan Fan , Gulafshan , Salar Shakibhamedan , Fabian Seiler , Nima TaheriNejad

Numerical solutions to fractional differential equations can be extremely computationally intensive due to the effect of non-local derivatives in which all previous time points contribute to the current iteration. In finite difference…

Mathematical Physics · Physics 2010-04-30 Brian P. Sprouse , Christopher L. MacDonald , Gabriel A. Silva

While providing a highly accurate framework for simulating laser-induced many-electron dynamics in atom and molecules, including linear and nonlinear steady-state and transient absorption spectra, time-dependent coupled-cluster theory does…

Recent demonstrations of superconducting quantum computers by Google and IBM and trapped-ion computers from IonQ fueled new research in quantum algorithms, compilation into quantum circuits, and empirical algorithmics. While online access…

Quantum Physics · Physics 2020-11-26 Aneeqa Fatima , Igor L. Markov

We accelerated an ab-initio molecular QMC calculation by using GPGPU. Only the bottle-neck part of the calculation is replaced by CUDA subroutine and performed on GPU. The performance on a (single core CPU + GPU) is compared with that on a…

Computational Physics · Physics 2012-04-06 Yutaka Uejima , Tomoharu Terashima , Ryo Maezono

We present an implementation of Smoothed Particle Hydrodynamics (SPH) in an adaptive-mesh PPPM algorithm. The code evolves a mixture of purely gravitational particles and gas particles. The code retains the desirable properties of previous…

Astrophysics · Physics 2009-10-22 H. M. P. Couchman , P. A. Thomas , F. R. Pearce

We study the problem of computing matrix chain multiplications in a distributed computing cluster. In such systems, performance is often limited by the straggler problem, where the slowest worker dominates the overall computation latency.…

Information Theory · Computer Science 2026-01-14 Jesús Gómez-Vilardebò

The method of sub-iteration, which was previously applied to the higher-order coupled cluster amplitude equations, is extended to the case of the coupled cluster $\Lambda$ equations. The sub-iteration procedure for the $\Lambda$ equations…

Chemical Physics · Physics 2025-03-26 Devin A. Matthews

Particle swam optimization (PSO) is a popular stochastic optimization method that has found wide applications in diverse fields. However, PSO suffers from high computational complexity and slow convergence speed. High computational…

Neural and Evolutionary Computing · Computer Science 2014-01-06 Muhammad Saqib Sohail , Muhammad Omer Bin Saeed , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

An improved numerical solver for the unified solution of compressible and incompressible fluids involving interfaces is proposed. The present method is based on the CIP-CUP (Cubic Interpolated Propagation / Combined, Unified Procedure)…

Computational Physics · Physics 2007-05-23 Masato Ida

We present a simple and efficient acceleration technique for an arbitrary method for computing the Euclidean projection of a point onto a convex polytope, defined as the convex hull of a finite number of points, in the case when the number…

Optimization and Control · Mathematics 2024-10-28 M. V. Dolgopolik

A high fidelity flow simulation for complex geometries for high Reynolds number ($Re$) flow is still very challenging, which requires more powerful computational capability of HPC system. However, the development of HPC with traditional CPU…

Computational Physics · Physics 2022-03-03 Chuangchao Ye , Pengjunyi Zhang , Rui Yan , Dejun Sun , Zhenhua Wan

We propose Cluster Pruning (CUP) for compressing and accelerating deep neural networks. Our approach prunes similar filters by clustering them based on features derived from both the incoming and outgoing weight connections. With CUP, we…

Computer Vision and Pattern Recognition · Computer Science 2019-11-21 Rahul Duggal , Cao Xiao , Richard Vuduc , Jimeng Sun

A full coupled-cluster expansion suitable for sparse algebraic operations is developed by expanding the commutators of the Baker-Campbell-Hausdorff series explicitly for cluster operators in binary representations. A full coupled-cluster…

Chemical Physics · Physics 2018-09-13 Enhua Xu , Motoyuki Uejima , Seiichiro L. Ten-no

Fast convergent, accurate, computationally efficient, parallelizable, and robust matrix inversion and parameter estimation algorithms are required in many time-critical and accuracy-critical applications such as system identification,…

Optimization and Control · Mathematics 2020-08-27 Alexander Stotsky

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

Machine Learning · Computer Science 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

In the rapidly evolving research on artificial intelligence (AI) the demand for fast, computationally efficient, and scalable solutions has increased in recent years. The problem of optimizing the computing resources for distributed machine…

Machine Learning · Computer Science 2025-10-30 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

The integrating factor technique is widely used to solve numerically (in particular) the Schr\"odinger equation in the context of spectral methods. Here, we present an improvement of this method exploiting the freedom provided by the gauge…

Analysis of PDEs · Mathematics 2023-02-14 Martino Lovisetto , D Clamond , B Marcos

We study the computation of coupled advection-diffusion-reaction equations by the Schwarz waveform relaxation method. The study starts with linear equations, and it analyzes the convergence of the computation with a Dirichlet condition, a…

Numerical Analysis · Mathematics 2022-05-05 Wenbin Dong , Hansong Tang

We consider the efficient numerical solution of coupled dynamical systems, consisting of a small nonlinear part and a large linear time invariant part, possibly stemming from spatial discretization of an underlying partial differential…

Numerical Analysis · Mathematics 2018-11-27 Herbert Egger , Vsevolod Shashkov , Kersten Schmidt
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