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Parametric linear programming is a central operation for polyhedral computations, as well as in certain control applications.Here we propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.This type…

Computational Geometry · Computer Science 2020-10-01 Camille Coti , David Monniaux , Hang Yu

The current trend of multicore architectures on shared memory systems underscores the need of parallelism. While there are some programming model to express parallelism, thread programming model has become a standard to support these system…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-12-13 D. T. Hasta , A. B. Mutiara

The efficient allocation of human resources is a critical concern in software development and other industries. This paper introduces a rigorous mathematical methodology for task assignment, employing Mixed Integer Linear Programming (MILP)…

Optimization and Control · Mathematics 2025-12-16 Lokendra Kumar , Neelesh S. Upadhye , Kannan Piedy

Power efficiency has recently become a major concern in the high-performance computing domain. HPC centers are provisioned by a power bound which impacts execution time. Naturally, a tradeoff arises between power efficiency and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-28 Ramy Medhat , Borzoo Bonakdarpour , Sebastian Fischmeister

Classification is a fundamental task in machine learning. While conventional methods-such as binary, multiclass, and multi-label classification-are effective for simpler problems, they may not adequately address the complexities of some…

The state-of-the art proof of a global inf-sup condition on mixed finite element schemes does not allow for an analysis of truly indefinite, second-order linear elliptic PDEs. This paper, therefore, first analyses a nonconforming finite…

Numerical Analysis · Mathematics 2014-01-21 Carsten Carstensen , Asha K. Dond , Neela Nataraj , Amiya K. Pani

Cholesky factorization is a widely used method for solving linear systems involving symmetric, positive-definite matrices, and can be an attractive choice in applications where a high degree of numerical stability is needed. One such…

Numerical Analysis · Mathematics 2023-05-09 Felix Liu , Albin Fredriksson , Stefano Markidis

In the near future, massively parallel computing systems will be necessary to solve computation intensive applications. The key bottleneck in massively parallel implementation of numerical algorithms is the synchronization of data across…

Systems and Control · Computer Science 2015-03-16 Kooktae Lee , Raktim Bhattacharya , Vijay Gupta

The parallel linear equations solver capable of effectively using 1000+ processors becomes the bottleneck of large-scale implicit engineering simulations. In this paper, we present a new hierarchical parallel master-slave-structural…

Computational Physics · Physics 2015-06-11 Ran Xu , Bin Liu , Yuan Dong

In multi-task learning (MTL), related tasks learn jointly to improve generalization performance. To exploit the high learning speed of extreme learning machines (ELMs), we apply the ELM framework to the MTL problem, where the output weights…

Machine Learning · Computer Science 2019-04-26 Yu Ye , Ming Xiao , Mikael Skoglund

In this paper, we propose a hybrid parallel programming approach for a numerical solution of a two-dimensional acoustic wave equation using an implicit difference scheme for a single computer. The calculations are carried out in an implicit…

Computational Physics · Physics 2020-06-19 Arshyn Altybay , Michael Ruzhansky , Niyaz Tokmagambetov

Parallel finite element algorithms based on object-oriented concepts are presented. Moreover, the design and implementation of a data structure proposed are utilized in realizing a parallel geometric multigrid method. The ParFEMapper and…

Mathematical Software · Computer Science 2016-09-19 Sashikumaar Ganesan , Volker John , Gunar Matthies , Raviteja Meesala , Shamim Abdus , Ulrich Wilbrandt

Clusters of SMP nodes provide support for a wide diversity of parallel programming paradigms. Combining both shared memory and message passing parallelizations within the same application, the hybrid MPI-OpenMP paradigm is an emerging trend…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-13 Truong Vinh Truong Duy , Katsuhiro Yamazaki , Kosai Ikegami , Shigeru Oyanagi

We propose two novel techniques for overcoming load-imbalance encountered when implementing so-called look-ahead mechanisms in relevant dense matrix factorizations for the solution of linear systems. Both techniques target the scenario…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-22 Sandra Catalán , José R. Herrero , Enrique S. Quintana-Ortí , Rafael Rodríguez-Sánchez , Robert van de Geijn

As we have entered Exascale computing, the faults in high-performance systems are expected to increase considerably. To compensate for a higher failure rate, the standard checkpoint/restart technique would need to create checkpoints at a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-26 Sarthak Joshi , Sathish Vadhiyar

Exascale computing systems will exhibit high degrees of hierarchical parallelism, with thousands of computing nodes and hundreds of cores per node. Efficiently exploiting hierarchical parallelism is challenging due to load imbalance that…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-29 Jonas H. Müller Korndörfer , Ahmed Eleliemy , Ali Mohammed , Florina M. Ciorba

The high computational complexity and energy consumption of artificial intelligence (AI) algorithms hinder their application in augmented reality (AR) systems. However, mobile edge computing (MEC) makes it possible to solve this problem.…

Networking and Internet Architecture · Computer Science 2023-01-04 Guangjin Pan , Heng Zhang , Shugong Xu , Shunqing Zhang , Xiaojing Chen

Recent increased interest in Cloud computing emphasizes the need to find an adequate solution to the load-balancing problem in parallel computing -- efficiently running several jobs concurrently on a cluster of shared computers (nodes). One…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-02 Adam Lev-Libfeld , Alex Margolin , Amnon Barak

This work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known that virtual part design and qualification in additive…

Computational Engineering, Finance, and Science · Computer Science 2019-04-30 Eric Neiva , Santiago Badia , Alberto F. Martín , Michele Chiumenti

We introduce the multivariate decomposition finite element method (MDFEM) for solving elliptic PDEs with uniform random diffusion coefficients. We show that the MDFEM can be used to reduce the computational complexity of estimating the…

Numerical Analysis · Mathematics 2021-07-28 Dong T. P. Nguyen , Dirk Nuyens
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