Search Results - Numerical algorithms for computer arithmetic, etc

Numerical Reproducibility and Parallel Computations: Issues for Interval Algorithms by Revol, Nathalie, Theveny, Philippe

“… This problem is especially stringent for HPC numerical simulations. In what follows, we identify the problems encountered when implementing interval routines in floating-point arithmetic…”
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Concentration of Measure for the Analysis of Randomized Algorithms by Dubhashi, Devdatt P., Panconesi, Alessandro

“…Randomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications…”
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Computation of the unit in the first place (ufp) and the unit in the last place (ulp) in precision-p base β by Rump, Siegfried M.

“…There are simple algorithms to compute the predecessor, successor, unit in the first place, unit in the last place etc…”
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Evaluation of Binary Decision Diagrams Complexity using Relative Arithmetic Width by Radmanovic, Milos

“… This parameter is calculated as the arithmetic mean of the BDD relative widths over all its levels. The relative arithmetic width expresses the numerical value of the relative shape of the BDD. Experimental results with optimal variable ordering demonstrate the efficiency of the approach…”
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Nondestructive identification of multiple flaws using XFEM and a topologically adapting artificial bee colony algorithm by Sun, Hao, Waisman, Haim, Betti, Raimondo

“…SUMMARYWe present a novel algorithm based on the extended finite element method (XFEM) and an enhanced artificial bee colony…”
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Implementing Randomized Matrix Algorithms in Parallel and Distributed Environments by Yang, Jiyan, Meng, Xiangrui, Mahoney, Michael W.

“… In this way, exabytes (1018 bytes) of data are being created on a daily basis. Extracting value from these data, however, requires scalable implementations of advanced analytical algorithms beyond simple data processing, e.g…”
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KAM quasi-periodic tori for the dissipative spin–orbit problem by Calleja, Renato, Celletti, Alessandra, Gimeno, Joan, de la Llave, Rafael

“…We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Celestial Mechanics. We compute the attractors extremely close…”
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Accelerating scientific computations with mixed precision algorithms by Baboulin, Marc, Buttari, Alfredo, Dongarra, Jack, Kurzak, Jakub, Langou, Julie, Langou, Julien, Luszczek, Piotr, Tomov, Stanimire

“… By using a combination of 32-bit and 64-bit floating point arithmetic, the performance of many dense and sparse linear algebra algorithms can be significantly enhanced while maintaining the 64-bit…”
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The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems by Ergul, Ozgur, Gurel, Levent

“…<p><b>Starting from the basics of the algorithm, this book provides a detailed and instructional overview of implementing MLFMA for the solution…”
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Swarm Intelligence Algorithms: Modifications and Applications by Slowik, Adam

“…This chapter presents a nature-inspired ant colony optimization (ACO) technique, along with its modified variants. The improved versions of this optimization…”
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Genetic Algorithms + Data Structures = Evolution Programs by Michalewicz, Zbigniew

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Swarm Intelligence: From Social Bacteria to Humans by Schumann, Andrew

“… Some natural examples of swarms are as follows: ant colonies, bee colonies, fish schooling, bird flocking, horse herding, bacterial colonies, multinucleated giant amoebae Physarum polycephalum, etc…”
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A reactive GRASP and Path Relinking for balancing reconfigurable transfer lines by Essafi, Mohamed, Delorme, Xavier, Dolgui, Alexandre

“… Stations are composed of CNC (Computer Numerical Control) machines. At least one CNC machine is installed at each station…”
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Variety Evasive Subspace Families by Guo, Zeyu

“…We introduce the problem of constructing explicit variety evasive subspace families . Given a family F of subvarieties of a projective or affine space, a…”
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An evolutionary-based methodology for symbolic simplification of analog circuits using genetic algorithm and simulated annealing by Shokouhifar, Mohammad, Jalali, Ali

“…•A hybrid algorithm based on genetic algorithm and simulated annealing is used to test the proposed simplification criterion…”
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Exploring Mathematical and Computational Concepts for STEM Education in Colleges by Riabov, Vladimir

“… In this article, the focus is made on analyses of several modern advanced mathematical and computational methods and numerical algorithms (e.g…”
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A Comparison of Discrete Algorithms for Fuzzy Weighted Average by Chang, P.-T., Hung, K.-C., Lin, K.-P., Chang, C.-H.

“… Additional fuzziness may be introduced in the alpha-cut arithmetic. This paper reviews and compares discrete algorithms for the FWAs in both theoretical comparison…”
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FTTN: Feature-Targeted Testing for Numerical Properties of NVIDIA & AMD Matrix Accelerators by Li, Xinyi, Li, Ang, Fang, Bo, Swirydowicz, Katarzyna, Laguna, Ignacio, Gopalakrishnan, Ganesh

“… Unfortunately, some of their crucial numerical attributes pertaining to departures from full IEEE floating-point compatibility are not documented…”
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A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains by Bruno, Oscar P., Ovall, Jeffrey S., Turc, Catalin

“…We present a new algorithm, based on integral equation formulations, for the solution of constant-coefficient elliptic partial differential equations (PDE…”
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A Dual-System Variable-Grain Cooperative Coevolutionary Algorithm: Satellite-Module Layout Design by TENG, Hong-Fei, YU CHEN, WEI ZENG, SHI, Yan-Jun, HU, Qing-Hua

“… The fitness function for this problem is characterized as multimodal because of interference constraints among layout components (objects), etc…”
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