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This paper consists of three parts. The first part provides a unified programming model for heterogeneous computing with CPU and accelerator (like GPU, FPGA, Google TPU, Atos QPU, and more) technologies. To some extent, this new programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-31 Yuqing Xiong

The ISO C++17 standard introduces \emph{parallel algorithms}, a parallel programming model promising portability across a wide variety of parallel hardware including multi-core CPUs, GPUs, and FPGAs. Since 2019, the NVIDIA HPC SDK compiler…

Mathematical Software · Computer Science 2023-02-20 Uzmar Gomez , Gonzalo Brito Gadeschi , Tobias Weinzierl

Quantum algorithms have the potential to provide exponential speedups over some of the best known classical algorithms. These speedups may enable quantum devices to solve currently intractable problems such as those in the fields of…

Quantum Physics · Physics 2018-12-13 Ciarán Ryan-Anderson

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

The complex structure of interplanetary magnetic fields and their variability, due to solar activity, make it necessary to compute the Cosmic Ray (CR) modulation with numerical simulations. COde for a Speedy Monte Carlo (MC) Involving Cuda…

Computational Physics · Physics 2025-02-11 Giovanni Cavallotto , Stefano Della Torre , Giuseppe La Vacca , Massimo Gervasi

This report presents some early results on code generation targeting tensor cores on NVIDIA GPUs using the MLIR compiler infrastructure. The state-of-the-art in high-performance deep learning today is primarily driven by manually optimized…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-31 Navdeep Katel , Vivek Khandelwal , Uday Bondhugula

In this paper we describe HeSP, a complete simulation framework to study a general task scheduling-partitioning problem on heterogeneous architectures, which treats recursive task partitioning and scheduling decisions on equal footing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-18 Anton Rey , Francisco D. Igual , Manuel Prieto-Matías

A simple method for improving cache efficiency of serial and parallel explicit finite procedure with application to casting solidification simulation over three-dimensional complex geometries is presented. The method is based on division of…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-05-19 Ruhollah Tavakoli

The focus of my PhD thesis is on exploring parallel approaches to efficiently solve problems modeled by constraints and presenting a new proposal. Current solvers are very advanced; they are carefully designed to effectively manage the…

Artificial Intelligence · Computer Science 2019-09-23 Fabio Tardivo

Simulating quantum circuits (QC) on high-performance computing (HPC) systems has become an essential method to benchmark algorithms and probe the potential of large-scale quantum computation despite the limitations of current quantum…

Matrix diagonalization is almost always involved in computing the density matrix needed in quantum chemistry calculations. In the case of modest matrix sizes ($\lesssim$ 5000), performance of traditional dense diagonalization algorithms on…

Chemical Physics · Physics 2023-06-23 Joshua Finkelstein , Christian F. A. Negre , Jean-Luc Fattebert

Cache-coherent non-uniform memory access (ccNUMA) systems enable parallel applications to scale-up to thousands of cores and many terabytes of main memory. However, since remote accesses come at an increased cost, extra measures are…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-24 Daniel J. Blueman , Foivos Zakkak , Christos Kotselidis

We implemented and optimized matrix multiplications between dense and block-sparse matrices on CUDA. We leveraged TVM, a deep learning compiler, to explore the schedule space of the operation and generate efficient CUDA code. With the…

Mathematical Software · Computer Science 2020-07-28 Zijing Gu

The scaling of Large Language Models (LLMs) drives interest in matrix-based optimizers (e.g., Shampoo, Muon, SOAP) for their convergence efficiency; yet their requirement for holistic updates conflicts with the tensor fragmentation in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-09 Liangyu Wang , Siqi Zhang , Junjie Wang , Yiming Dong , Bo Zheng , Zihan Qiu , Shengkun Tang , Di Wang , Rui Men , Dayiheng Liu

Low order, sequential or non-massively parallel finite elements are generaly used for three-dimensional gravity modelling. In this paper, in order to obtain better gravity anomaly solutions in heterogeneous media, we solve the gravimetry…

Numerical Analysis · Mathematics 2021-12-08 Abal-Kassim Cheik Ahamed , Frederic Magoules

As more applications utilize virtualization and emulation to run mission-critical tasks, the performance requirements of emulated and virtualized platforms continue to rise. Hardware virtualization is not universally available for all…

Performance · Computer Science 2025-01-08 Amy Iris Parker

Combinatorial optimization problems arise in logistics, scheduling, and resource allocation, yet existing approaches face a fundamental trade-off among generality, performance, and usability. We present cuGenOpt, a GPU-accelerated…

Artificial Intelligence · Computer Science 2026-03-20 Yuyang Liu

The efficient solution of sparse, linear systems resulting from the discretization of partial differential equations is crucial to the performance of many physics-based simulations. The algorithmic optimality of multilevel approaches for…

Mathematical Software · Computer Science 2018-03-08 Andrew Reisner , Luke N. Olson , J. David Moulton

When a computational task tolerates a relaxation of its specification or when an algorithm tolerates the effects of noise in its execution, hardware, programming languages, and system software can trade deviations from correct behavior for…

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