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The scientific computing ecosystem in Python is largely confined to single-node parallelism, creating a gap between high-level prototyping in NumPy and high-performance execution on modern supercomputers. The increasing prevalence of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Aditya Bhosale , Laxmikant Kale

Stencil computation is essential in high-performance computing, especially for large-scale tasks like liquid simulation and weather forecasting. Optimizing its performance can reduce both energy consumption and computation time, which is…

Performance · Computer Science 2025-03-04 Hongguang Chen

Sparse Tensor Cores offer exceptional performance gains for AI workloads by exploiting structured 2:4 sparsity. However, their potential remains untapped for core scientific workloads such as stencil computations, which exhibit irregular…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Qi Li , Kun Li , Haozhi Han , Liang Yuan , Junshi Chen , Yunquan Zhang , Yifeng Chen , Hong An , Ting Cao , Mao Yang

Stencil algorithms on regular lattices appear in many fields of computational science, and much effort has been put into optimized implementations. Such activities are usually not guided by performance models that provide estimates of…

Performance · Computer Science 2016-01-28 Holger Stengel , Jan Treibig , Georg Hager , Gerhard Wellein

Although modern supercomputers are composed of multicore machines, one can find scientists that still execute their legacy applications which were developed to monocore cluster where memory hierarchy is dedicated to a sole core. The main…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-31 Alexandre Sena , Aline Nascimento , Cristina Boeres , Vinod E. F. Rebello , André Bulcão

Stencils represent a class of computational patterns where an output grid point depends on a fixed shape of neighboring points in an input grid. Stencil computations are prevalent in scientific applications engaging a significant portion of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-24 Jesmin Jahan Tithi , Fabrizio Petrini , Hongbo Rong , Andrei Valentin , Carl Ebeling

We present the design, implementation, and evaluation of optimized matrix-free stencil kernels for multigrid smoothing in the incompressible Stokes equations with variable viscosity, motivated by geophysical flow problems. We investigate…

Computational Physics · Physics 2025-09-24 Marcel Ferrari , Cyrill Püntener , Alexander Sotoudeh , Niklas Viebig

Stencil computation constitutes a cornerstone of scientific computing, serving as a critical kernel in domains ranging from fluid dynamics to weather simulation. While stencil computations are conventionally regarded as memory-bound and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-03 Qiqi Gu , Chenpeng Wu , Heng Shi , Jianguo Yao , Haibing Guan

Stencil loops are a common motif in computations including convolutional neural networks, structured-mesh solvers for partial differential equations, and image processing. Stencil loops are easy to parallelise, and their fast execution is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-08 Jan Hückelheim , Navjot Kukreja , Sri Hari Krishna Narayanan , Fabio Luporini , Gerard Gorman , Paul Hovland

Stencil computation is one of the most important kernels in various scientific computing. Nowadays, most Stencil-driven scientific computing still relies heavily on supercomputers, suffering from expensive access, poor scalability, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-16 Kun Li , Zhichun Li , Yuetao Chen , Zixuan Wang , Yiwei Zhang , Liang Yuan , Haipeng Jia , Yunquan Zhang , Ting Cao , Mao Yang

Automatic code generation is frequently used to create implementations of algorithms specifically tuned to particular hardware and application parameters. The code generation process involves the selection of adequate code transformations,…

Performance · Computer Science 2024-08-08 Dominik Ernst , Georg Hager , Markus Holzer , Matthias Knorr , Gerhard Wellein

AMD Xilinx's new Versal Adaptive Compute Acceleration Platform (ACAP) is an FPGA architecture combining reconfigurable fabric with other on-chip hardened compute resources. AI engines are one of these and, by operating in a highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-31 Nick Brown

Current architectures are now equipped with matrix computation units designed to enhance AI and high-performance computing applications. Within these architectures, two fundamental instruction types are matrix multiplication and vector…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-04 Wenxuan Zhao , Liang Yuan , Baicheng Yan , Penghao Ma , Yunquan Zhang , Long Wang , Zhe Wang

We propose a new hybrid topology optimization algorithm based on multigrid approach that combines the parallelization strategy of CPU using OpenMP and heavily multithreading capabilities of modern Graphics Processing Units (GPU). In…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Arya Prakash Padhi , Souvik Chakraborty , Anupam Chakrabarti , Rajib Chowdhury

Twenty-five years ago, Crow published the shadow volume approach for determining shadowed regions in a scene. A decade ago, Heidmann described a hardware-accelerated stencil buffer-based shadow volume algorithm. Unfortunately…

Graphics · Computer Science 2007-05-23 Cass Everitt , Mark J. Kilgard

Automatic code optimization is a complex process that typically involves the application of multiple discrete algorithms that modify the program structure irreversibly. However, the design of these algorithms is often monolithic, and they…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Kazuaki Matsumura , Simon Garcia De Gonzalo , Antonio J. Peña

The simulation of the two-dimensional Ising model is used as a benchmark to show the computational capabilities of Graphic Processing Units (GPUs). The rich programming environment now available on GPUs and flexible hardware capabilities…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-26 Joshua Romero , Mauro Bisson , Massimiliano Fatica , Massimo Bernaschi

In recent years, there is a surge on machine learning applications in industry. Many of them are based on popular AI frameworks like Tensorflow, Torch, Caffe, or MxNet, etc, and are enpowered by accelerator platforms such as GPUs. One…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-14 Guoping Long , Jun Yang , Kai Zhu , Wei Lin

A multigrid scheme is proposed for the pressure equation of the incompressible unsteady fluid flow equations, allowing efficient implementation on clusters of modern CPUs, many integrated core devices (MICs), and graphics processing units…

Numerical Analysis · Mathematics 2014-08-19 György Tegze , Gyula I. Tóth

Stencil computation is one of the most used kernels in a wide variety of scientific applications, ranging from large-scale weather prediction to solving partial differential equations. Stencil computations are characterized by three unique…

Hardware Architecture · Computer Science 2023-09-07 Alain Denzler , Rahul Bera , Nastaran Hajinazar , Gagandeep Singh , Geraldo F. Oliveira , Juan Gómez-Luna , Onur Mutlu