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Domain-specific high-productivity environments are playing an increasingly important role in scientific computing due to the levels of abstraction and automation they provide. In this paper we introduce Devito, an open-source…

Mathematical Software · Computer Science 2017-07-13 Michael Lange , Navjot Kukreja , Fabio Luporini , Mathias Louboutin , Charles Yount , Jan Hückelheim , Gerard J. Gorman

Domain specific languages have successfully been used in a variety of fields to cleanly express scientific problems as well as to simplify implementation and performance opti- mization on different computer architectures. Although a large…

Mathematical Software · Computer Science 2016-10-11 Navjot Kukreja , Mathias Louboutin , Felippe Vieira , Fabio Luporini , Michael Lange , Gerard Gorman

Finite-difference methods are widely used in solving partial differential equations. In a large problem set, approximations can take days or weeks to evaluate, yet the bulk of computation may occur within a single loop nest. The modelling…

Performance · Computer Science 2018-06-22 Nicholas Sim

We introduce Devito, a new domain-specific language for implementing high-performance finite difference partial differential equation solvers. The motivating application is exploration seismology where methods such as Full-Waveform…

The growth of data to be processed in the Oil & Gas industry matches the requirements imposed by evolving algorithms based on stencil computations, such as Full Waveform Inversion and Reverse Time Migration. Graphical processing units…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-05 Vitor Hugo Mickus Rodrigues , Lucas Cavalcante , Maelso Bruno Pereira , Fabio Luporini , István Reguly , Gerard Gorman , Samuel Xavier de Souza

The run time of many scientific computation applications for numerical methods is heavily dependent on just a few multi-dimensional loop nests. Since these applications are often limited by memory bandwidth rather than computational…

Programming Languages · Computer Science 2017-07-11 Dylan McCormick

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

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

Stencil kernels dominate a range of scientific applications, including seismic and medical imaging, image processing, and neural networks. Temporal blocking is a performance optimization that aims to reduce the required memory bandwidth of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-26 George Bisbas , Fabio Luporini , Mathias Louboutin , Rhodri Nelson , Gerard Gorman , Paul H. J. Kelly

The Devito DSL is a code generation tool for the solution of partial differential equations using the finite difference method specifically aimed at seismic inversion problems. In this work we investigate the integration of OPS, an API to…

Mathematical Software · Computer Science 2019-06-27 Vincenzo Pandolfo

Partial differential equations (PDEs) are crucial in modeling diverse phenomena across scientific disciplines, including seismic and medical imaging, computational fluid dynamics, image processing, and neural networks. Solving these PDEs at…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-07 George Bisbas , Rhodri Nelson , Mathias Louboutin , Fabio Luporini , Paul H. J. Kelly , Gerard Gorman

[Devito] is an open-source Python project based on domain-specific language and compiler technology. Driven by the requirements of rapid HPC applications development in exploration seismology, the language and compiler have evolved…

Stencil computations, involving operations over the elements of an array, are a common programming pattern in scientific computing, games, and image processing. As a programming pattern, stencil computations are highly regular and amenable…

Programming Languages · Computer Science 2011-09-06 Dominic Orchard , Alan Mycroft

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 describe a set of lower-level abstractions to improve performance on modern large scale heterogeneous systems. These provide portable access to system- and hardware-dependent features, automatically apply dynamic optimizations at run…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-07 Erik Schnetter

This paper presents a workflow for synthesizing near-optimal FPGA implementations for structured-mesh based stencil applications for explicit solvers. It leverages key characteristics of the application class, its computation-communication…

Hardware Architecture · Computer Science 2021-01-08 Kamalavasan Kamalakkannan , Gihan R. Mudalige , Istvan Z. Reguly , Suhaib A. Fahmy

We propose an optimization approach for determining both hardware and software parameters for the efficient implementation of a (family of) applications called dense stencil computations on programmable GPGPUs. We first introduce a simple,…

Hardware Architecture · Computer Science 2017-12-26 Nirmal Prajapati , Sanjay Rajopadhye , Hristo Djidjev , Nandkishore Santhi , Tobias Grosser , Rumen Andonov

Stencil computation is one of the most widely-used compute patterns in high performance computing applications. Spatial and temporal blocking have been proposed to overcome the memory-bound nature of this type of computation by moving…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-04 Kazuaki Matsumura , Hamid Reza Zohouri , Mohamed Wahib , Toshio Endo , Satoshi Matsuoka

Neural operator models for solving partial differential equations (PDEs) often rely on global mixing mechanisms-such as spectral convolutions or attention-which tend to oversmooth sharp local dynamics and introduce high computational cost.…

Machine Learning · Computer Science 2025-10-01 Chun-Wun Cheng , Bin Dong , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Over the last ten years, graphics processors have become the de facto accelerator for data-parallel tasks in various branches of high-performance computing, including machine learning and computational sciences. However, with the recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-28 Johannes Pekkilä , Oskar Lappi , Fredrik Robertsén , Maarit J. Korpi-Lagg
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