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Scaling up quantum computers to attain substantial speedups over classical computing requires fault tolerance. Conventionally, protocols for fault-tolerant quantum computation demand excessive space overheads by using many physical qubits…

Quantum Physics · Physics 2025-01-29 Hayata Yamasaki , Masato Koashi

Quantum computers open up new avenues for modelling the physical properties of materials and molecules. Density Functional Theory (DFT) is the gold standard classical algorithm for predicting these properties, but relies on approximations…

Quantum Physics · Physics 2024-02-29 Evan Sheridan , Lana Mineh , Raul A. Santos , Toby Cubitt

Spherical Harmonic Transforms (SHT) are at the heart of many scientific and practical applications ranging from climate modelling to cosmological observations. In many of these areas new, cutting-edge science goals have been recently…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-03 Mikolaj Szydlarski , Pierre Esterie , Joel Falcou , Laura Grigori , R. Stompor

In the advent of new large galaxy surveys, which will produce enormous datasets with hundreds of millions of objects, new computational techniques are necessary in order to extract from them any two-point statistic, the computational time…

Instrumentation and Methods for Astrophysics · Physics 2013-06-21 David Alonso

Rotation measure (RM) synthesis is a widely used polarization processing algorithm for reconstructing polarized structures along the line of sight. Performing RM synthesis on large datasets produced by telescopes like LOFAR can be…

Instrumentation and Methods for Astrophysics · Physics 2018-10-16 S. S. Sridhar , G. Heald , J. M. van der Hulst

High performance computing (HPC) is a powerful tool to accelerate the Kohn-Sham density functional theory (KS-DFT) calculations on modern heterogeneous supercomputers. Here, we describe a massively extreme-scale parallel and portable…

Computational Physics · Physics 2020-04-20 Wei Hu , Xinming Qin , Caiqing Jiang , Junshi Chen , Hong An , Weile Jia , Fang Li , Xin Liu , Dexun Chen , Jinlong Yang

Efficient ordinary differential equation solvers for chemical kinetics must take into account the available thread and instruction-level parallelism of the underlying hardware, especially on many-core coprocessors, as well as the numerical…

Computational Physics · Physics 2018-03-28 Christopher P. Stone , Andrew T. Alferman , Kyle E. Niemeyer

As quantum computers continue to improve and support larger, more complex computations, smart control hardware and compilers are needed to efficiently leverage the capabilities of these systems. This paper introduces a novel approach to…

Quantum Physics · Physics 2025-11-19 Folkert de Ronde , Alexander Knapen , Stephan Wong , Sebastian Feld

Particle-in-Cell (PIC) Monte Carlo (MC) simulations are central to plasma physics but face increasing challenges on heterogeneous HPC systems due to excessive data movement, synchronization overheads, and inefficient utilization of multiple…

We have recently carried out a computational campaign to investigate a model of coronal heating in three-dimensions using reduced magnetohydrodynamics (RMHD). Our code is built on a conventional scheme using the pseudo-spectral method, and…

Instrumentation and Methods for Astrophysics · Physics 2011-09-29 L. Lin , C. S. Ng , A. Bhattacharjee

With tens of petaflops supercomputers already in operation and exaflops machines expected to appear within the next 10 years, efficient parallel computational methods are required to take advantage of such extreme-scale machines. In this…

Materials Science · Physics 2012-11-13 Truong Vinh Truong Duy , Taisuke Ozaki

We discuss several strategies to implement Dykstra's projection algorithm on NVIDIA's compute unified device architecture (CUDA). Dykstra's algorithm is the central step in and the computationally most expensive part of statistical…

Computational Physics · Physics 2015-03-13 Jan Lebert , Lutz Künneke , Johannes Hagemann , Stephan C. Kramer

Density functional theory (DFT) has been a cornerstone in computational chemistry, physics, and materials science for decades, benefiting from advancements in computational power and theoretical methods. This paper introduces a novel,…

The strategy of using CUDA-compatible GPUs as a parallel computation solution to improve the performance of programs has been more and more widely approved during the last two years since the CUDA platform was released. Its benefit extends…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-01-12 Chang Xu , Steven R. Kirk , Samantha Jenkins

Density functional theory (DFT) stands as a cornerstone method in computational quantum chemistry and materials science due to its remarkable versatility and scalability. Yet, it suffers from limitations in accuracy, particularly when…

Multi-dimensional discrete Fourier transforms (DFT) are typically decomposed into multiple 1D transforms. Hence, parallel implementations of any multi-dimensional DFT focus on parallelizing within or across the 1D DFT. Existing DFT packages…

Mathematical Software · Computer Science 2019-12-24 Doru Thom Popovici , Martin D. Schatz , Franz Franchetti , Tze Meng Low

Designing problems using matrices is very important in Computer Science. Fields like graph computer, graphs theory, and machine learning use matrices very often to solve their own problems. The most often matrix operation is the…

Performance · Computer Science 2019-05-10 Andre G. C. Pacheco

In this paper we present an optimized parallel implementation of a flexible MAP decoder for synchronization error correcting codes, supporting a very wide range of code sizes and channel conditions. On mid-range GPUs we demonstrate decoding…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-26 Johann A. Briffa

In this paper, we report the results obtained from the acceleration of multi-binary64-type multiple precision matrix multiplication with AVX2. We target double-double (DD), triple-double (TD), and quad-double (QD) precision arithmetic…

Numerical Analysis · Mathematics 2021-09-14 Tomonori Kouya

In this paper we announce the public release of a massively-parallel, GPU-accelerated software, which is the first to combine both coarse-grained molecular dynamics and field-theoretical simulations in one simulation package. MATILDA.FT…