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Stochastic comparisons of series and parallel systems are important in many areas of engineering, operations research and reliability analysis. These comparisons allow for the evaluation of the performance and reliability of systems under…

Statistics Theory · Mathematics 2025-06-09 CM Revathi , Rajesh Moharana , Raju Bhakta

Static analysis is a mature field with applications to bug detection, security analysis, and code optimization, etc. To facilitate these applications, static analysis frameworks play an essential role by providing a series of fundamental…

Programming Languages · Computer Science 2022-08-02 Tian Tan , Yue Li

Maximizing parallelism level in applications can be achieved by minimizing overheads due to load imbalances and waiting time due to memory latencies. Compiler optimization is one of the most effective solutions to tackle this problem. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-29 Zahra Khatami , Hartmut Kaiser , J. Ramanujam

The design of a parallel computing system using several thousands or even up to a million processors asks for processing units that are simple and thus small in space, to make as many processing units as possible fit on a single die. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-21 Oskar Schirmer

Sequential algorithms for the Stable Matching Problem are often too slow in the context of some large scale applications like switch scheduling. Parallel architectures can offer a notable decrease in runtime complexity. We propose a stable…

Data Structures and Algorithms · Computer Science 2024-08-27 Scott Wynn , Alec Kyritsis , Stephora Alberi , Enyue Lu

This paper surveys and describes the implementation of parallelization of the Mizar proof checking and of related Mizar utilities. The implementation makes use of Mizar's compiler-like division into several relatively independent passes,…

Mathematical Software · Computer Science 2014-05-23 Josef Urban

Dualization is a key discrete enumeration problem. It is not known whether or not this problem is polynomial-time solvable. Asymptotically optimal dualization algorithms are the fastest among the known dualization algorithms, which is…

Discrete Mathematics · Computer Science 2016-06-01 Elena V. Djukova , Andrey G. Nikiforov , Petr A. Prokofyev

We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

Numerical Analysis · Mathematics 2022-10-10 Sergio Blanes

Preserving invariants while designing distributed applications under weak consistency models is difficult. The CEC (Correct Eventual Consistency Tool) is meant to aid the application designer in this task. It provides information about the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-18 Sreeja Nair , Marc Shapiro

Static analysis is a method of analyzing source code without executing it. It is widely used to find bugs and code smells in industrial software. Besides other methods, the most important techniques are those based on the abstract syntax…

Software Engineering · Computer Science 2024-08-13 Gabor Horvath , Reka Kovacs , Richard Szalay , Zoltan Porkolab

Array-intensive programs are often amenable to parallelization across many cores on a single machine as well as scaling across multiple machines and hence are well explored, especially in the domain of high-performance computing. These…

Programming Languages · Computer Science 2019-05-23 Kunal Banerjee , Chandan Karfa

We introduce in this paper, HeteroSTA, the first CPU-GPU heterogeneous timing analysis engine that efficiently supports: (1) a set of delay calculation models providing versatile accuracy-speed choices without relying on an external golden…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Zizheng Guo , Haichuan Liu , Xizhe Shi , Shenglu Hua , Zuodong Zhang , Chunyuan Zhao , Runsheng Wang , Yibo Lin

New trends towards multiple core processors imply using standard programming models to develop efficient, reliable and portable programs for distributed memory multiprocessors and workstation PC clusters. Message passing using MPI is widely…

Programming Languages · Computer Science 2013-11-05 Alaa I. Elnashar

Different from sequential programs, parallel programs possess their own characteristics which are difficult to analyze in the multi-process or multi-thread environment. This paper presents an innovative method to automatically analyze the…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-06-09 Xu Liu , Jianfeng Zhan , Bibo Tu , Ming Zou , Dan Meng

Important computational physics problems are often large-scale in nature, and it is highly desirable to have robust and high performing computational frameworks that can quickly address these problems. However, it is no trivial task to…

Mathematical Software · Computer Science 2017-09-18 J. Chang , K. B. Nakshatrala , M. G. Knepley , L. Johnsson

A great variety of static analyses that compute safety properties of single-thread programs have now been developed. This paper presents a systematic method to extend a class of such static analyses, so that they handle programs with…

Programming Languages · Computer Science 2009-11-02 Jean-Loup Carre , Charles Hymans

Parallel programming in high-performance computing depends on low-level APIs such as MPI, requiring users to manage synchronization and resources manually. Several correctness checking tools exist to help bug-free code development, though…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-04 Yussur Mustafa Oraji , Alexander Hück , Christian Bischof

The imposition of real-time constraints on a parallel computing environment- specifically high-performance, cluster-computing systems- introduces a variety of challenges with respect to the formal verification of the system's timing…

Logic in Computer Science · Computer Science 2013-01-03 Peter Hui , Satish Chikkagoudar

To harness the full benefit of new computing platforms, it is necessary to develop software with parallel computing capabilities. This is no less true for statisticians than for astrophysicists. The R programming language, which is perhaps…

Computation · Statistics 2017-09-08 George Ostrouchov , Wei-Chen Chen , Drew Schmidt

Numerically solving ordinary differential equations (ODEs) is a naturally serial process and as a result the vast majority of ODE solver software are serial. In this manuscript we developed a set of parallelized ODE solvers using…

Numerical Analysis · Mathematics 2022-09-13 Utkarsh , Chris Elrod , Yingbo Ma , Christopher Rackauckas
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