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Related papers: Accelerating High-Order Stencils on GPUs

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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 focus on implementing and optimizing a sixth-order finite-difference solver for simulating compressible fluids on a GPU using third-order Runge-Kutta integration. Since graphics processing units perform well in data-parallel tasks, this…

Computational Physics · Physics 2017-07-28 Johannes Pekkilä , Miikka S. Väisälä , Maarit J. Käpylä , Petri J. Käpylä , Omer Anjum

The exponential growth of floating point power in graphics processing units (GPUs), together with their low cost, has given rise to an attractive platform upon which to deploy lattice QCD calculations. GPUs are essentially many (O(100))…

High Energy Physics - Lattice · Physics 2010-11-05 M. A. Clark

Stencil computations on low dimensional grids are kernels of many scientific applications including finite difference methods used to solve partial differential equations. On typical modern computer architectures, such stencil computations…

Computational Complexity · Computer Science 2015-01-23 Philipp Hupp , Riko Jacob

Stencil computation is one of the fundamental computing patterns in many application domains such as scientific computing and image processing. While there are promising studies that accelerate stencils on FPGAs, there lacks an automated…

Hardware Architecture · Computer Science 2022-08-24 Xingyu Tian , Zhifan Ye , Alec Lu , Licheng Guo , Yuze Chi , Zhenman Fang

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

Histograms are widely used in medical imaging, network intrusion detection, packet analysis and other stream-based high throughput applications. However, while porting such software stacks to the GPU, the computation of the histogram is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-02 Sisir Koppaka , Dheevatsa Mudigere , Srihari Narasimhan , Babu Narayanan

Stencil computation is an extensively-utilized class of scientific-computing applications that can be efficiently accelerated by graphics processing units (GPUs). Out-of-core approaches enable a GPU to handle large stencil codes whose data…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 Jingcheng Shen , Linbo Long , Jun Zhang , Weiqi Shen , Masao Okita , Fumihiko Ino

We present an efficient approach for writing architecture-agnostic parallel high-performance stencil computations in Julia, which is instantiated in the package ParallelStencil.jl. Powerful metaprogramming, costless abstractions and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-01 Samuel Omlin , Ludovic Räss

GPU computing is expected to play an integral part in all modern Exascale supercomputers. It is also expected that higher order Godunov schemes will make up about a significant fraction of the application mix on such supercomputers. It is,…

Numerical Analysis · Mathematics 2023-04-06 Sethupathy Subramanian , Dinshaw S. Balsara , Deepak Bhoriya , Harish Kumar

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,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-08 Dominik Ernst , Markus Holzer , Georg Hager , Matthias Knorr , Gerhard Wellein

Stencil computations are a fundamental kernel in scientific computing, critical for simulations in domains such as fluid dynamics and climate modeling. However, these computations are often memory-bound on traditional High-Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Elia Belli , Daniele De Sensi

Iterative stencils are used widely across the spectrum of High Performance Computing (HPC) applications. Many efforts have been put into optimizing stencil GPU kernels, given the prevalence of GPU-accelerated supercomputers. To improve the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Lingqi Zhang , Mohamed Wahib , Peng Chen , Jintao Meng , Xiao Wang , Toshio Endo , Satoshi Matsuoka

Machine learning based on neural networks has advanced rapidly, but the high energy consumption required for training and inference remains a major challenge. Hyperdimensional Computing (HDC) offers a lightweight, brain-inspired alternative…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-10 Wakuto Matsumi , Riaz-Ul-Haque Mian

The numerical integration of stochastic trajectories to estimate the time to pass a threshold is an interesting physical quantity, for instance in Josephson junctions and atomic force microscopy, where the full trajectory is not accessible.…

Computational Physics · Physics 2018-02-15 Vincenzo Pierro , Luigi Troiano , Elena Mejuto , Giovannni Filatrella

This work presents a GPU thread mapping approach that allows doing fast parallel stencil-like computations on discrete fractals using their compact representation. The intuition behind is to employ two GPU tensor-core accelerated thread…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Felipe A. Quezada , Cristóbal A. Navarro

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-01 Yu-Hang Tang , George Em Karniadakis

Block iterative methods are extremely important as smoothers for multigrid methods, as preconditioners for Krylov methods, and as solvers for diagonally dominant linear systems. Developing robust and efficient algorithms suitable for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-16 Manuel Birke , Bobby Philip , Zhen Wang , Mark Berrill

Hypergraph partitioning is a pervasive NP-hard problem, and accelerating its computation on GPU can both slice time-to-solution and raise quality of results. In this work, we implement a multi-level hypergraph partitioning algorithm on GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-17 Marco Ronzani , Cristina Silvano