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Matrix-accelerated stencil computation is a hot research topic, yet its application to three-dimensional (3D) high-order stencils and HPC remains underexplored. With the emergence of matrix units on multicore CPUs, we analyze matrix-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Yinuo Wang , Tianqi Mao , Lin Gan , Wubing Wan , Zeyu Song , Jiayu Fu , Lanke He , Wenqiang Wang , Zekun Yin , Wei Xue , Guangwen Yang

New algorithms and optimization techniques are needed to balance the accelerating trend towards bandwidth-starved multicore chips. It is well known that the performance of stencil codes can be improved by temporal blocking, lessening the…

Performance · Computer Science 2012-03-01 Markus Wittmann , Georg Hager , Gerhard Wellein

Bandwidth-starved multicore chips have become ubiquitous. It is well known that the performance of stencil codes can be improved by temporal blocking, lessening the pressure on the memory interface. We introduce a new pipelined approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-17 Markus Wittmann , Georg Hager , Jan Treibig , Gerhard Wellein

Stencil computations consume a major part of runtime in many scientific simulation codes. As prototypes for this class of algorithms we consider the iterative Jacobi and Gauss-Seidel smoothers and aim at highly efficient parallel…

Performance · Computer Science 2012-03-01 Jan Treibig , Gerhard Wellein , Georg Hager

Stencil computations are a key class of applications, widely used in the scientific computing community, and a class that has particularly benefited from performance improvements on architectures with high memory bandwidth. Unfortunately,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-27 Istvan Z Reguly , Gihan R Mudalige , Michael B Giles

Stencil computations lie at the heart of many scientific and industrial applications. Unfortunately, stencil algorithms perform poorly on machines with cache based memory hierarchy, due to low re-use of memory accesses. This work shows that…

Mathematical Software · Computer Science 2022-04-11 Mathias Jacquelin , Mauricio Araya-Polo , Jie Meng

Finite-difference methods based on high-order stencils are widely used in seismic simulations, weather forecasting, computational fluid dynamics, and other scientific applications. Achieving HPC-level stencil computations on one…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-09 Ryuichi Sai , John Mellor-Crummey , Jinfan Xu , Mauricio Araya-Polo

The latest trends in high-performance computing systems show an increasing demand on the use of a large scale multicore systems in a efficient way, so that high compute-intensive applications can be executed reasonably well. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-25 Juliana M. N. Silva , Cristina Boeres , Lúcia M. A. Drummond , Artur A. Pessoa

Stencil computation is one of the most important kernels in various scientific and engineering applications. A variety of work has focused on vectorization and tiling techniques, aiming at exploiting the in-core data parallelism and data…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-19 Kun Li , Liang Yuan , Yunquan Zhang , Yue Yue , Hang Cao , Pengqi Lu

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

Good process-to-compute-node mappings can be decisive for well performing HPC applications. A special, important class of process-to-node mapping problems is the problem of mapping processes that communicate in a sparse stencil pattern to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-21 Sascha Hunold , Konrad von Kirchbach , Markus Lehr , Christian Schulz , Jesper Larsson Träff

The importance of stencil-based algorithms in computational science has focused attention on optimized parallel implementations for multilevel cache-based processors. Temporal blocking schemes leverage the large bandwidth and low latency of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-28 Tareq Malas , Georg Hager , Hatem Ltaief , Holger Stengel , Gerhard Wellein , David Keyes

Modern compute nodes in high-performance computing provide a tremendous level of parallelism and processing power. However, as arithmetic performance has been observed to increase at a faster rate relative to memory and network bandwidths,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-11 Johannes Pekkilä , Miikka S. Väisälä , Maarit J. Käpylä , Matthias Rheinhardt , Oskar Lappi

Optimizing the performance of stencil algorithms has been the subject of intense research over the last two decades. Since many stencil schemes have low arithmetic intensity, most optimizations focus on increasing the temporal data access…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-19 Tareq Malas , Georg Hager , Hatem Ltaief , David Keyes

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

It is well known that to accelerate stencil codes on CPUs or GPUs and to exploit hardware caches and their lines optimizers must find spatial and temporal locality of array accesses to harvest data-reuse opportunities. On FPGAs there is the…

Programming Languages · Computer Science 2024-01-25 Florian Mayer , Julian Brandner , Michael Philippsen

String sorting is an important part of tasks such as building index data structures. Unfortunately, current string sorting algorithms do not scale to massively parallel distributed-memory machines since they either have latency (at least)…

Data Structures and Algorithms · Computer Science 2024-04-26 Florian Kurpicz , Pascal Mehnert , Peter Sanders , Matthias Schimek

We introduce QPU micro-kernels: shallow quantum circuits that perform a stencil node update and return a Monte Carlo estimate from repeated measurements. We show how to use them to solve Partial Differential Equations (PDEs) explicitly…

Emerging Technologies · Computer Science 2025-11-18 Stefano Markidis , Luca Pennati , Marco Pasquale , Gilbert Netzer , Ivy Peng

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

Stencil computations are widely used in HPC applications. Today, many HPC platforms use GPUs as accelerators. As a result, understanding how to perform stencil computations fast on GPUs is important. While implementation strategies for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-16 Ryuichi Sai , John Mellor-Crummey , Xiaozhu Meng , Mauricio Araya-Polo , Jie Meng
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