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The simplex algorithm has been successfully used for many years in solving linear programming (LP) problems. Due to the intensive computations required (especially for the solution of large LP problems), parallel approaches have also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-22 Basilis Mamalis , Marios Perlitis

Multigrid algorithms are among the fastest iterative methods known today for solving large linear and some non-linear systems of equations. Greatly optimized for serial operation, they still have a great potential for parallelism not fully…

Numerical Analysis · Computer Science 2011-08-11 Julian Becerra-Sagredo , Carlos Malaga , Francisco Mandujano

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems.…

Optimization and Control · Mathematics 2024-03-01 Alfredo Vitorino , Francisco A. M. Gomes

The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial differential equations such as finite element, finite…

Numerical Analysis · Mathematics 2021-08-31 Abal-Kassim Cheik Ahamed , Frédéric Magoulès

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…

Signal Processing · Electrical Eng. & Systems 2017-12-01 Shuoxin Lin , Jiahao Wu , Shuvra S. Bhattacharyya

Matrix Factorization (MF) has been widely applied in machine learning and data mining. A large number of algorithms have been studied to factorize matrices. Among them, stochastic gradient descent (SGD) is a commonly used method.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Yuanhang Yu , Dong Wen , Ying Zhang , Xiaoyang Wang , Wenjie Zhang , Xuemin Lin

CPU-GPU heterogeneous architectures are now commonly used in a wide variety of computing systems from mobile devices to supercomputers. Maximizing the throughput for multi-programmed workloads on such systems is indispensable as one single…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-08 Issa Saba , Eishi Arima , Dai Liu , Martin Schulz

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

Performance · Computer Science 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

An existing hybrid MPI-OpenMP scheme is augmented with a CUDA-based fine grain parallelization approach for multidimensional distributed Fourier transforms, in a well-characterized pseudospectral fluid turbulence code. Basics of the hybrid…

Computational Physics · Physics 2018-08-07 Duane Rosenberg , Pablo D. Mininni , Raghu Reddy , Annick Pouquet

Domain-specific languages that execute image processing pipelineson GPUs, such as Halide and Forma, operate by 1) dividing the image into overlapped tiles, and 2) fusing loops to improve memory locality. However, current approaches have…

Programming Languages · Computer Science 2020-09-09 Abhinav Jangda , Arjun Guha

Hybrid CPU-GPU algorithms for Algebraic Multigrid methods (AMG) to efficiently utilize both CPU and GPU resources are presented. In particular, hybrid AMG framework focusing on minimal utilization of GPU memory with performance on par with…

Mathematical Software · Computer Science 2020-07-02 Sashikumaar Ganesan , Manan Shah

CPU-GPU heterogeneous systems are now commonly used in HPC (High-Performance Computing). However, improving the utilization and energy-efficiency of such systems is still one of the most critical issues. As one single program typically…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-08 Eishi Arima , Minjoon Kang , Issa Saba , Josef Weidendorfer , Carsten Trinitis , Martin Schulz

Massively parallel architectures such as the GPU are becoming increasingly important due to the recent proliferation of data. In this paper, we propose a key class of hybrid parallel graphlet algorithms that leverages multiple CPUs and GPUs…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Ryan A. Rossi , Rong Zhou

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 edge computing paradigm has emerged to handle cloud computing issues such as scalability, security and low response time among others. This new computing trend heavily relies on ubiquitous embedded systems on the edge. Performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-28 Mohammad Hosseinabady , Mohd Amiruddin Bin Zainol , Jose Nunez-Yanez

The Preconditioned Conjugate Gradient (PCG) method is widely used for solving linear systems of equations with sparse matrices. A recent version of PCG, Pipelined PCG, eliminates the dependencies in the computations of the PCG algorithm so…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-14 Manasi Tiwari , Sathish Vadhiyar

While the advances in synchrotron light sources, together with the development of focusing optics and detectors, allow nanoscale ptychographic imaging of materials and biological specimens, the corresponding experiments can yield…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Xiaodong Yu , Viktor Nikitin , Daniel J. Ching , Selin Aslan , Doga Gursoy , Tekin Bicer

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

We present a parallel computing strategy for a hybridizable discontinuous Galerkin (HDG) nested geometric multigrid (GMG) solver. Parallel GMG solvers require a combination of coarse-grain and fine-grain parallelism to improve time to…

Numerical Analysis · Mathematics 2019-07-18 M. S. Fabien , M. G. Knepley , R. T. Mills , B. M. Riviere

Much of the current focus in high performance computing (HPC) for computational fluid dynamics (CFD) deals with grid based methods. However, parallel implementations for new meshfree particle methods such as Smoothed Particle Hydrodynamics…

Performance · Computer Science 2011-11-21 Jose M. Domínguez , Alejandro J. C. Crespo , Moncho Gómez-Gesteira
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