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parallel arithmetic NUMERICAL SIMULATION AND APPLICATION OF SECONDARY MIGRATION- ACCUMULATION OF OIL RESOURCES

Applied Mathematics and Mechanics(English Edition) 2004年第5期25卷 560-572页

作者：袁益让韩玉笈 Institute of Mathematics Shandong University Exploration Institute of Shengli Petroleum Administration Dongying

From such actual conditions as the effects of characteristics of miltilayer petroleum geology and permeation fluid mechanics, a new numerical model is put forward and coupling splitting-up implicit interactive scheme is formed. For the actual situation of Dongying hollow (four-layer) and Tanhai region (three-layer) of Shengli Petroleum Field, the numerical simulation test results and the actual conditions are coincident.

关键词： secondary migration of oil multilayer parallel arithmetic Shengli Petroleum Field numerical simulation

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Research on parallel arithmetic of distributed space borne SAR ground target simulation

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Xitong Fangzhen Xuebao / Journal of System Simulation 2006年第8期18卷 2097-2100+2104页

作者： Wang, Xi-Shuang Huang, Li-Sheng Wang, Zhen-Song Institute of Computing Technology Chinese Academic of Science Beijing 100080 China Graduate School of Chinese Academic of Science Beijing 100080 China

The parallel arithmetic of distributed space borne SAR ground target echo data simulating procedure was examined. The following issues were introduced: the method to simulate the cooperating working mode of distributed space borne SAR system, the policy of allotting tasks between parallel computing nodes, and the policy of transferring massive-data between computing nodes. The experiment proves that the parallel arithmetic has high speed-up performance.

关键词： Distributed space borne SAR Ground target echo data parallel arithmetic Simulation system

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parallel modular multiplication on multi-core processors

Parallel modular multiplication on multi-core processors

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21st IEEE Symposium on Computer arithmetic (ARITH)

作者： Giorgi, Pascal Imbert, Laurent Izard, Thomas UM2 CNRS LIRMM Montpellier France SILKAN Montpellier France

ISBN: (纸本)9780769549576;9781467356442

Current processors typically embed many cores running at high speed. The main goal of this paper is to assess the efficiency of software parallelism for low level arithmetic operations by providing a thorough comparison of several parallel modular multiplications. Famous methods such as Barrett, Montgomery as well as more recent algorithms are compared together with a novel k-ary multipartite multiplication which allows to split the computations into independent processes. Our experiments show that this new algorithm is well suited to software parallelism.

关键词： Modular multiplication bipartite tripartite k-ary multipartite algorithms parallel arithmetic multi-core

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parallel 3D Images Surface Texture Editing

Parallel 3D Images Surface Texture Editing

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International Conference on Advanced in Control Engineering and Information Science (CEIS)

作者： Ye Chen Ren Zhikao Ye Qianb Qingdao Univ Coll Med Qingdao 266021 Peoples R China Qingdao Univ Med Coll Qingdao Peoples R China

Self-similarity based nonlinear magnification on 3D surface texture can retain high degree reality of image. While the calculation of self-similarity is complex and needs long time. parallel calculating is an ideal measure to solve this problem. The parallel way of Self-similarity calculating arithmetic is presented. At last the evaluation display that parallel processing can improve the efficiency of calculation obviously. (c) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of [CEIS 2011]

关键词： 3D Surface Texture editing Self-similarity MPI parallel arithmetic

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On multimoduli residue number systems with moduli of forms r^a, r^b-1, r^c+1

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 2005年第7期52卷 1253-1266页

作者： Abdallah, M Skavantzos, A Intel Corp Folsom CA 95630 USA Louisiana State Univ Dept Elect & Comp Engn Baton Rouge LA 70803 USA

The residue number system (RNS) is an integer system appropriate for implementing fast digital signal processors since it can support parallel, carry-free, high-speed arithmetic. One of the most important considerations when designing RNS systems is the choice of the moduli set. This is due to the fact that the system's speed, its dynamic range, as well as its hardware complexity depend on both the forms and the number of the chosen moduli. When performing high radix-r(r > 2) arithmetic, moduli of forms r(a), r(b) - 1 and r(c) + 1 imply simple RNS arithmetic and efficient weighted (radix-r)-to-RNS and RNS-to-weighted (radix-r) conversions. In this paper, new multi-moduli high radix-r RNS systems based on moduli of forms r(a), r(b) - 1 and r(c) + 1 are presented. These systems will be derived from some recently developed theory. Such systems including moduli of forms r(a), r(b) - 1 and r(c) + 1 are appropriate for multiple-valued logic implementations or high radix (r > 2) arithmetic using binary logic. The new RNS systems are balanced, achieve fast and simple RNS computations and conversions and implement large dynamic ranges. The specific case of the binary (radix r = 2) domain is also presented.

关键词： high radix arithmetic high-speed arithmetic multiple-valued logic (MVL) parallel arithmetic residue arithmetic

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Large dynamic range RNS systems and their residue to binary converters

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JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS 2007年第2期16卷 267-286页

作者： Skavantzos, Alexander Abdallah, Mohammad Stouraitis, Thanos Univ Patras Dept Elect & Comp Engn GR-26110 Patras Greece Louisiana State Univ Dept Elect & Comp Engn Baton Rouge LA 70803 USA Intel Corp Folsom CA 95630 USA

The Residue Number System (RNS) is an integer system appropriate for implementing fast digital signal processors. It can be used for supporting high-speed arithmetic by operating in parallel channels without need for exchanging information among the channels. In this paper, two novel RNS are proposed. First, a new RNS system based on the modulus set {2n(+ 1), 2(n) - 1, 2(n) + 1, 2(n) + 2((n+ 1)/ 2) + 1, 2(n) - 2(( n+ 1)/2) + 1}, n odd, is developed, along with an efficient implementation of its residue-to-weighted converter. The new RNS is a balanced five-modulus system, appropriate for large dynamic ranges. The proposed residue-to-binary converter is fast and hardware efficient and is based on a one's complement multi-operand adder that adds operands of size only 80% of the size dictated by the system's dynamic range. Second, a new class of multi-modulus RNS systems is proposed. These systems are based on sets consisting of two groups of moduli with the modulus product within one group being of the form 2(a)(2(b) - 1), while the modulus product within the other group is of the form 2(c) - 1. Their RNS-to-weighted converters are based on efficient combinations of the Chinese Remainder Theorem and Mixed Radix Conversion decoding techniques. Systems based on four, five, and seven moduli are constructed and analyzed. The new systems allow efficient implementations for their RNS-to-weighted decoders, imply fast and balanced RNS arithmetic, and may achieve large dynamic ranges. The presented residue-to-weighted converters for these systems rely on simple mod(2(x) - 1) hardware, which can be easily implemented as one's complement hardware.

关键词： high speed arithmetic parallel arithmetic residue arithmetic residue number system

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New direct probabilistic approach for static responses of structures with uncertainties

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INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2011年第4期88卷 714-730页

作者： Qiu, Zhiping Wang, Jun Beijing Univ Aeronaut & Astronaut Inst Solid Mech Beijing 100083 Peoples R China

A new direct probabilistic approach (DPA) is presented for calculating the first-and second-order moments of the structural static response with random uncertainties. The approach treats both stiffness and load as uncertain factors. The proposed approach can reduce considerably the storage and computational complexities required to large structural systems. For practical engineering problems with random uncertainties, the prime problem is to avoid disadvantages of large calculation and much wall-clock time. In this study, the parallel arithmetic of the DPA will be presented, which can be used in large-scale computations in practical engineering to avoid much wall-clock time. It can also be seen that the parallel arithmetic is superior to traditional serial algorithm. The present approach is illustrated by two numerical examples that include the structure of 14-bar truss and three-beam structure and in comparison with the expanded first-order second moment method and Monte-Carlo method.

关键词： random uncertainty structural static response moment equations direct probabilistic approach parallel arithmetic

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Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media

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Acta Mathematicae Applicatae Sinica 2007年第2期23卷 255-268页

作者： Yi-rang Yuan Institute of Mathematics Shandong University Jinan 250100 China

For a coupled system of multiplayer dynamics of fluids in porous media, the characteristic finite element domain decomposition procedures applicable to parallel arithmetic are put forward. Techniques such as calculus of variations, domain decomposition, characteristic method, negative norm estimate, energy method and the theory of prior estimates are adopted. Optimal order estimates in L^2 norm are derived for the error in the approximate solution.

关键词： Coupled system of dynamics of fluids domain decomposition characteristic finite element parallel arithmetic L^2 error estamate

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The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2007年第49-52期196卷 4965-4984页

作者： Qiu, Zhiping Xia, Yuying Yang, Haling Beijing Univ Aeronaut & Astronaut Inst Solid Mech Beijing 100083 Peoples R China

In practical engineering, on account of physical imperfections, model inaccuracies, and system complexities, almost all structures have physical and geometrical uncertainties in some degrees. In this paper, we focus on the static response problem and the stress distribution of structures with bounded uncertainties. In terms of the vertex notation in interval analysis, a new mathematical proof of the vertex solution theorem which is used to determine the supremum and the infimum of the static responses of structures with bounded uncertainties is given. Then, we extend this theorem for calculating the interval stress and the deformation distributions, which was only used to determine the supremum and the infimum of the static responses of structures with bounded uncertainties. The basic idea of the vertex solution theorem is to convert the interval linear equations into systems of equivalent deterministic linear equations. The resulting deterministic linear equations are then solved by using the familiar techniques like the Gauss elimination method or the Gauss-Seidel iteration method. Another advantage of this method is that the increase in number of the uncertain parameters in a structure element will not result in the increase in number of the uncertain elements in the stiffness matrix. For practical engineering problem with bounded uncertainties, the chief thing is to avoid the disadvantages of large calculation and much runtime of the vertex solution. In this paper, we present the parallel arithmetic of the vertex solution theorem, which can be used in large-scale computations in practical engineering to avoid much runtime. On the other hand, we can use the symmetrical characteristic of the stiffness matrix and the substructure method to reduce the computational effort in practical engineering. The numerical results of the typical example presented by Deif calculated by the proposed vertex solution theorem show that the width between the supremum and the infimum

关键词： the vertex solution theorem interval analysis static response stress distribution bounded uncertainties parallel arithmetic

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Improved all-optical modified signed-digit adders using semiconductor optical amplifier and Mach-Zehnder interferometer

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OPTICS AND LASER TECHNOLOGY 2010年第5期42卷 810-818页

作者： Al-Zayed, A. S. Cherri, A. K. Kuwait Univ Coll Engn & Petr Dept Elect Engn Safat 13060 Kuwait

In this paper, we present improved all-optical circuits that implement ultra-fast adders based on the carry-free property of the modified signed-digit (MSD) number representation. The all-optical realizations are based on semiconductor optical amplifier (SOA) and Mach-Zehnder interferometer (MZI) switches, which represent one of the most promising solutions due to their compact size, thermal stability and low power operation. Several all-optical circuit designs are proposed with the objective to minimize the number of the SOA-MZI switches, the time delay in the adders and some other optical elements. The proposed circuits are more efficient comparing to previously published ones in terms of the number of optical components (less by 50%) as well as the operational speed (faster by 50%). (C) 2009 Elsevier Ltd. All rights reserved.

关键词： All-optical gates Mach-Zehnder interferometer parallel arithmetic

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