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Comprehending the performance bottlenecks at the core of the intricate hardware-software interactions exhibited by highly parallel programs on HPC clusters is crucial. This paper sheds light on the issue of automatically asynchronous MPI…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Ayesha Afzal , Georg Hager , Stefano Markidis , Gerhard Wellein

We investigate the parallel one-level overlapping Schwarz method for solving finite element discretization of high-frequency Helmholtz equations. The resulting linear systems are large, indefinite, ill-conditioned, and complex-valued. We…

Numerical Analysis · Mathematics 2026-02-03 Yan Xie , Shihua Gong , Ivan G. Graham , Euan A. Spence , Chen-Song Zhang

We present and release in open source format a sparse linear solver which efficiently exploits heterogeneous parallel computers. The solver can be easily integrated into scientific applications that need to solve large and sparse linear…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-26 Massimo Bernaschi , Alessandro Celestini , Pasqua D'Ambra , Flavio Vella

Parallel algorithms and simulators with good scalabilities are particularly important for large-scale reservoir simulations on modern supercomputers with a large number of processors. In this paper, we introduce and study a family of highly…

Numerical Analysis · Mathematics 2020-07-29 Rui Li , Haijian Yang , Chao Yang

Executing smart contracts is a compute and storage-intensive task, which currently dominates modern blockchain's performance. Given that computers are becoming increasingly multicore, concurrency is an attractive approach to improve…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Yaron Hay , Roy Friedman

In this paper, we explore the limits of graphics processors (GPUs) for general purpose parallel computing by studying problems that require highly irregular data access patterns: parallel graph algorithms for list ranking and connected…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-25 Frank Dehne , Kumanan Yogaratnam

Emerging workloads, such as graph processing and machine learning are approximate because of the scale of data involved and the stochastic nature of the underlying algorithms. These algorithms are often distributed over multiple machines…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-28 Asim Kadav , Erik Kruus

We consider the swelling of hydrogels as an example of a chemo-mechanical problem with strong coupling between the mechanical balance relations and the mass diffusion. The problem is cast into a minimization formulation using a…

Numerical Analysis · Mathematics 2022-12-05 Bjoern Kiefer , Stefan Prüger , Oliver Rheinbach , Friederike Röver

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

Optimization and Control · Mathematics 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

In view of the tremendous computing power jump of modern RISC processors the interest in parallel computing seems to be thinning out. Why use a complicated system of parallel processors, if the problem can be solved by a single powerful…

comp-gas · Physics 2008-02-03 G. Odor , F. Rohrbach , G. Vesztergombi , G. Varga , F. Tatrai

We introduce the Asynchronous PALM algorithm, a new extension of the Proximal Alternating Linearized Minimization (PALM) algorithm for solving nonsmooth, nonconvex optimization problems. Like the PALM algorithm, each step of the…

Optimization and Control · Mathematics 2016-04-05 Damek Davis

The bulk synchronous parallel (BSP) model struggles with irregular workloads due to rigid global communication. While fine-grained asynchronous BSP (FA-BSP) improves overlap, existing implementations typically rely on a limiting…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-26 Minyu Cheng , Jiakun Yan , Marc Snir

GPUs are critical for compute-intensive applications, yet emerging workloads such as recommender systems, graph analytics, and data analytics often exceed GPU memory capacity. Existing solutions allow GPUs to use CPU DRAM or SSDs as…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-27 Zhuoping Yang , Jinming Zhuang , Xingzhen Chen , Alex K. Jones , Peipei Zhou

GPUs are playing an increasingly important role in general-purpose computing. Many algorithms require synchronizations at different levels of granularity in a single GPU. Additionally, the emergence of dense GPU nodes also calls for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-14 Lingqi Zhang , Mohamed Wahib , Haoyu Zhang , Satoshi Matsuoka

Nonlinear Schwarz methods are a type of nonlinear domain decomposition method used as an alternative to Newton's method for solving discretized nonlinear partial differential equations. In this article, the first parallel implementation of…

Numerical Analysis · Mathematics 2026-03-26 Kyrill Ho , Axel Klawonn , Martin Lanser

In distributed stochastic optimization, where parallel and asynchronous methods are employed, we establish optimal time complexities under virtually any computation behavior of workers/devices/CPUs/GPUs, capturing potential disconnections…

Optimization and Control · Mathematics 2025-02-07 Alexander Tyurin

Answer Set Programming (ASP) has become, the paradigm of choice in the field of logic programming and non-monotonic reasoning. Thanks to the availability of efficient solvers, ASP has been successfully employed in a large number of…

Artificial Intelligence · Computer Science 2019-09-05 Agostino Dovier , Andrea Formisano , Flavio Vella

Recently, asynchronous coarse-space correction has been achieved within both the overlapping Schwarz and the primal Schur frameworks. Both additive and multiplicative corrections have been discussed. In this paper, we address some…

Numerical Analysis · Mathematics 2023-10-20 Guillaume Gbikpi-Benissan , Frédéric Magoulès

An alternating direction method of multipliers (ADMM) solver is described for optimal resource allocation problems with separable convex quadratic costs and constraints and linear coupling constraints. We describe a parallel implementation…

Optimization and Control · Mathematics 2019-07-09 Zawar Qureshi , Sebastian East , Mark Cannon

Volunteer computing grids offer super-computing levels of computing power at the relatively low cost of operating a server. In previous work, the authors have shown that it is possible to take traditionally iterative evolutionary algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-09 Travis Desell , Malik Magdon-Ismail , Heidi Newberg , Lee A. Newberg , Boleslaw K. Szymanski , Carlos A. Varela