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Variational inequalities play a pivotal role in a wide array of scientific and engineering applications. This project presents two techniques for adaptive mesh refinement (AMR) in the context of variational inequalities, with a specific…

数值分析 · 数学 2025-02-21 Giuliano Stefano Fochesatto

Molecular Dynamics simulations can help scientists to gather valuable insights for physical processes on an atomic scale. This work explores various techniques for SIMD vectorization to improve the pairwise force calculation between…

分布式、并行与集群计算 · 计算机科学 2025-12-04 Luis Gall , Samuel James Newcome , Fabio Alexander Gratl , Markus Mühlhäußer , Manish Kumar Mishra , Hans-Joachim Bungartz

We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing on the refined part of the mesh. Partitioning is achieved by…

数值分析 · 计算机科学 2021-08-04 Thomas C. Clevenger , Timo Heister , Guido Kanschat , Martin Kronbichler

Adaptive mesh refinement (AMR) is a classical technique about local refinement in space where needed, thus effectively reducing computational costs for HPC-based physics simulations. Although AMR has been used for many years, little…

流体动力学 · 物理学 2024-05-14 Dewen Liu , Shuai He , Haoran Cheng , Yadong Zeng

We present a new numerical algorithm for the solution of coupled collisional and collisionless systems, based on the block structured adaptive mesh and time refinement strategy (AMR). We describe the issues associated with the…

天体物理学 · 物理学 2008-11-26 Francesco Miniati , Phillip Colella

Numerical evolution of the spherically symmetric, massive Klein-Gordon field is presented using a new adaptive mesh refinement (AMR) code with fourth order discretization in space and time, along with compactification in space. The system…

高能物理 - 理论 · 物理学 2009-11-11 Peter Csizmadia

We introduce a parallelizable simplification of Neural Turing Machine (NTM), referred to as P-NTM, which redesigns the core operations of the original architecture to enable efficient scan-based parallel execution. We evaluate the proposed…

神经与进化计算 · 计算机科学 2026-02-24 Gabriel Faria , Arnaldo Candido Junior

Adaptive Rounding has emerged as an alternative to round-to-nearest (RTN) for post-training quantization by enabling cross-element error cancellation. Yet, dense and element-wise rounding matrices are prohibitively expensive for…

机器学习 · 计算机科学 2026-02-03 Yuli Zhou , Qingxuan Chen , Luca Benini , Guolei Sun , Yawei Li

Presented are two techniques that are designed to help streamline the discretization of complex vascular geometries within the numerical modeling process. The first method integrates multiple software tools into a single pipeline which can…

流体动力学 · 物理学 2025-12-05 Kevin Garner , Fotis Drakopoulos , Chander Sadasivan , Nikos Chrisochoides

Structured Adaptive Mesh Refinement (Structured AMR) enables simulations to adapt the domain resolution to save computation and storage, and has become one of the dominant data representations used by scientific simulations; however,…

图形学 · 计算机科学 2020-09-08 Ingo Wald , Stefan Zellmann , Will Usher , Nate Morrical , Ulrich Lang , Valerio Pascucci

The increasing use of heterogeneous embedded systems with multi-core CPUs and Graphics Processing Units (GPUs) presents important challenges in effectively exploiting pipeline, task and data-level parallelism to meet throughput requirements…

信号处理 · 电气工程与系统科学 2017-12-01 Shuoxin Lin , Jiahao Wu , Shuvra S. Bhattacharyya

Modern microprocessors are equipped with Single Instruction Multiple Data (SIMD) or vector instructions which expose data level parallelism at a fine granularity. Programmers exploit this parallelism by using low-level vector intrinsics in…

编程语言 · 计算机科学 2019-02-11 Charith Mendis , Ajay Jain , Paras Jain , Saman Amarasinghe

Recent trends in the HPC field have introduced new CPU architectures with improved vectorization capabilities that require optimization to achieve peak performance and thus pose challenges for performance portability. The deployment of…

分布式、并行与集群计算 · 计算机科学 2025-09-17 Gianmarco Accordi , Jens Domke , Theresa Pollinger , Davide Gadioli , Gianluca Palermo

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

最优化与控制 · 数学 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

分布式、并行与集群计算 · 计算机科学 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

Most modern processors contain vector units that simultaneously perform the same arithmetic operation over multiple sets of operands. The ability of compilers to automatically vectorize code is critical to effectively using these units.…

性能 · 计算机科学 2025-02-21 Nazmus Sakib , Tarun Prabhu , Nandakishore Santhi , John Shalf , Abdel-Hameed A. Badawy

A current trend in HPC systems is the utilization of architectures with SIMD or vector extensions to exploit data parallelism. There are several ways to take advantage of such modern vector architectures, each with a different impact on the…

分布式、并行与集群计算 · 计算机科学 2024-11-05 Marc Blancafort , Roger Ferrer , Guillaume Houzeaux , Marta Garcia-Gasulla , Filippo Mantovani

We present a high-performance N-body code for self-gravitating collisional systems accelerated with the aid of a new SIMD instruction set extension of the x86 architecture: Advanced Vector eXtensions (AVX), an enhanced version of the…

天体物理仪器与方法 · 物理学 2015-05-27 Ataru Tanikawa , Kohji Yoshikawa , Takashi Okamoto , Keigo Nitadori

Modern scientific applications are getting more diverse, and the vector lengths in those applications vary widely. Contemporary Vector Processors (VPs) are designed either for short vector lengths, e.g., Fujitsu A64FX with 512-bit ARM SVE…

We present a new parallel PM N-body code named PMFAST that is freely available to the public. PMFAST is based on a two-level mesh gravity solver where the gravitational forces are separated into long and short range components. The…

天体物理学 · 物理学 2007-05-23 Hugh Merz , Ue-Li Pen , Hy Trac