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Journal articles on the topic 'Analysis and Computation'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Liu, G. R. "Computational methods for certified solutions, adaptive analysis, real-time computation, and inverse analysis of mechanics problem." Proceedings of The Computational Mechanics Conference 2011.24 (2011): _—1_—_—5_. http://dx.doi.org/10.1299/jsmecmd.2011.24._-1_.

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2

McCloskey, Donald N. "Computation Outstrips Analysis." Scientific American 273, no. 1 (1995): 26. http://dx.doi.org/10.1038/scientificamerican0795-26.

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3

Ichimura, Tsuyoshi, Ryoichiro Agata, Takane Hori, et al. "Tsunami Analysis Method with High-Fidelity Crustal Structure and Geometry Model." Journal of Earthquake and Tsunami 11, no. 05 (2017): 1750018. http://dx.doi.org/10.1142/s179343111750018x.

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Higher fidelity seafloor topography and crustal structure models have become available with accumulation of observation data. Previous studies have shown that the consideration of such high-fidelity models produces significant effects, in some cases, on crustal deformation results that are used as inputs for tsunami analysis. However, it is difficult to apply high-fidelity model of crustal deformation computations to tsunami computations because of large computational costs. In this paper, we propose a new crustal deformation computation method for estimating inputs for tsunami computations, w

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4

Protsko, I. O., and D. V. Ostrovka. "ANALYSIS OF THE ERROR OF COMPUTATION FAST TRANSFORMS OF FOURIER CLASS BASED ON CYCLIC CONVOLUTIONS." Ukrainian Journal of Information Technology 2, no. 1 (2020): 52–56. http://dx.doi.org/10.23939/ujit2020.02.052.

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The features of the computational model of discrete transforms of Fourier class based on cyclic convolutions to determine the algorithmic calculation error are analyzed. Based on the approach of efficient computation of discrete transforms of Fourier class of arbitrary size N, using of a hashing array to transform a discrete basis matrix into a set of block-cyclic submatrices, the components of computational costs are considered. These components of computational costs depend on the type of transform, the size and the block-cycle structure of the transformation core. Examples of computational

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5

Wechler, Wolfgang. "R-fuzzy computation." Journal of Mathematical Analysis and Applications 115, no. 1 (1986): 225–32. http://dx.doi.org/10.1016/0022-247x(86)90036-3.

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6

Basso, Giuliano. "Computation of maximal projection constants." Journal of Functional Analysis 277, no. 10 (2019): 3560–85. http://dx.doi.org/10.1016/j.jfa.2019.05.011.

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7

Rajon, Quentin, Thomas Ransford, and Jérémie Rostand. "Computation of weighted capacity." Journal of Approximation Theory 162, no. 6 (2010): 1187–203. http://dx.doi.org/10.1016/j.jat.2009.12.010.

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8

Olver, Sheehan. "Computation of equilibrium measures." Journal of Approximation Theory 163, no. 9 (2011): 1185–207. http://dx.doi.org/10.1016/j.jat.2011.03.010.

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9

Trefethen, Lloyd N. "Computation of pseudospectra." Acta Numerica 8 (January 1999): 247–95. http://dx.doi.org/10.1017/s0962492900002932.

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There is more to the computation of pseudospectra than the obvious algorithm of computing singular value decompositions on a grid and sending the results to a contour plotter. Other methods may be hundreds of times faster. The state of the art is reviewed, with emphasis on methods for dense matrices, and a Matlab code is given.

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10

Williamson, Alan G., J. Murphy, D. Ridout, and Brigid McShane. "Numerical Analysis, Algorithms and Computation." Mathematical Gazette 73, no. 465 (1989): 250. http://dx.doi.org/10.2307/3618471.

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11

Newland, D. E., and Andres Soom. "Mechanical Vibration Analysis and Computation." Journal of Applied Mechanics 59, no. 2 (1992): 469. http://dx.doi.org/10.1115/1.2899551.

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12

Newland, D. E., and Eric E. Ungar. "Mechanical Vibration Analysis and Computation." Journal of the Acoustical Society of America 88, no. 5 (1990): 2506. http://dx.doi.org/10.1121/1.400056.

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13

Kanatani, K. "Statistical Analysis of Geometric Computation." Computer Vision and Image Understanding 59, no. 3 (1994): 286–306. http://dx.doi.org/10.1006/cviu.1994.1024.

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14

Kanatani, K. "Statistical Analysis of Geometric Computation." CVGIP: Image Understanding 59, no. 3 (1994): 286–306. http://dx.doi.org/10.1006/ciun.1994.1020.

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15

Barr, A. D. S. "Mechanical vibration analysis and computation." Journal of Sound and Vibration 139, no. 3 (1990): 535–36. http://dx.doi.org/10.1016/0022-460x(90)90684-r.

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16

Schreiber, Robert, and Beresford Parlett. "Block Reflectors: Theory and Computation." SIAM Journal on Numerical Analysis 25, no. 1 (1988): 189–205. http://dx.doi.org/10.1137/0725014.

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17

López-Gómez, Julián, Marcela Molina-Meyer, and Mónica Villarreal. "Numerical Computation of Coexistence States." SIAM Journal on Numerical Analysis 29, no. 4 (1992): 1074–92. http://dx.doi.org/10.1137/0729065.

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18

Moazzezi, Reza, and Peter Dayan. "Change-Based Inference in Attractor Nets: Linear Analysis." Neural Computation 22, no. 12 (2010): 3036–61. http://dx.doi.org/10.1162/neco_a_00051.

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One standard interpretation of networks of cortical neurons is that they form dynamical attractors. Computations such as stimulus estimation are performed by mapping inputs to points on the networks' attractive manifolds. These points represent population codes for the stimulus values. However, this standard interpretation is hard to reconcile with the observation that the firing rates of such neurons constantly change following presentation of stimuli. We have recently suggested an alternative interpretation according to which computations are realized by systematic changes in the states of s

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19

Zhou, Jianxin. "Saddle critical point analysis and computation." Nonlinear Analysis: Theory, Methods & Applications 63, no. 5-7 (2005): 1000–1009. http://dx.doi.org/10.1016/j.na.2005.03.008.

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20

An, Jing Bo. "Nonlinear Analysis for Bending Cross Section of Tensile-Compression Prestressed Concrete Beam." Applied Mechanics and Materials 204-208 (October 2012): 4538–43. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.4538.

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In this paper, based on the deformation of bonded tensile-compression prestressed concrete beam, the nonlinear analyses are presented about whole loading process of tensile-compression prestressed concrete beam by internal force equilibrium and deformation compatibility of cross section. Then the M-f computation programs are developed, and the computational results are consistent with that of test. Finally, the ANSYS programs are used to analyze and test the computational results from M-f computation programs. Research findings in this paper provide a basis for further study of tensile-compres

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21

Wheeler, Paul, and Dwight Barkley. "Computation of Spiral Spectra." SIAM Journal on Applied Dynamical Systems 5, no. 1 (2006): 157–77. http://dx.doi.org/10.1137/050624273.

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22

Khoromskaia, V. "Computation of the Hartree-Fock Exchange by the Tensor-Structured Methods." Computational Methods in Applied Mathematics 10, no. 2 (2010): 204–18. http://dx.doi.org/10.2478/cmam-2010-0012.

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AbstractWe propose a novel numerical method for fast and accurate evaluation of the exchange part of the Fock operator in the Hartree-Fock equation which is a (nonlocal) integral operator. Usually, this challenging computational problem is solved by analytical evaluation of two-electron integrals using the “analytically separable” Galerkin basis functions, like Gaussians. Instead, we employ the agglomerated “grey-box” numerical computation of the corresponding six-dimensional integrals in the tensor-structured format which does not require analytical separability of the basis set. The point of

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23

Absil, P. A., R. Sepulchre, P. Van Dooren, and R. Mahony. "Cubically Convergent Iterations for Invariant Subspace Computation." SIAM Journal on Matrix Analysis and Applications 26, no. 1 (2004): 70–96. http://dx.doi.org/10.1137/s0895479803422002.

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24

Domanov, Ignat, and Lieven De Lathauwer. "From Computation to Comparison of Tensor Decompositions." SIAM Journal on Matrix Analysis and Applications 42, no. 2 (2021): 449–74. http://dx.doi.org/10.1137/20m1349370.

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25

Zheng, Jin Yang, Yun He Chen, and Jian Ping Wang. "Finite Element Analysis on Coupled Vehicle-Bridge Vibration Based on the Sprung Mass Model." Applied Mechanics and Materials 687-691 (November 2014): 249–54. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.249.

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Based on the theoretical analysis on the coupled vehicle-bridge vibration, this paper simulates the action of the moving vehicle load on a bridge structure with a sprung mass model, and obtains the dynamic response of the simply-supported bridge structure under the moving vehicle load through computation by finite element method (FEM). Through checking computations of classic examples, this paper proves the applicability of this computation method.

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26

Juozapavičius, Algimantas. "Symbolic computation: systems and applications." Nonlinear Analysis: Modelling and Control 3 (December 3, 1998): 59–72. http://dx.doi.org/10.15388/na.1998.3.0.15257.

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The article presents an overview of symbolic computation systems, their classification-in-history, the most popular CAS, examples of systems and some of their applications. Symbolics versus numeric, enhancement in mathematics, computing nature of CAS, related projects, networks, references are discussed.

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27

Brandt, Howard E. "Riemannian geometry of quantum computation." Nonlinear Analysis: Theory, Methods & Applications 71, no. 12 (2009): e474-e486. http://dx.doi.org/10.1016/j.na.2008.11.013.

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28

Sarpeshkar, R. "Analog synthetic biology." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2012 (2014): 20130110. http://dx.doi.org/10.1098/rsta.2013.0110.

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We analyse the pros and cons of analog versus digital computation in living cells. Our analysis is based on fundamental laws of noise in gene and protein expression, which set limits on the energy, time, space, molecular count and part-count resources needed to compute at a given level of precision. We conclude that analog computation is significantly more efficient in its use of resources than deterministic digital computation even at relatively high levels of precision in the cell. Based on this analysis, we conclude that synthetic biology must use analog, collective analog, probabilistic an

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29

Weideman, J. A. C. "Computation of the Complex Error Function." SIAM Journal on Numerical Analysis 31, no. 5 (1994): 1497–518. http://dx.doi.org/10.1137/0731077.

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30

Dieci, Luca, and Erik S. Van Vleck. "Lyapunov Spectral Intervals: Theory and Computation." SIAM Journal on Numerical Analysis 40, no. 2 (2002): 516–42. http://dx.doi.org/10.1137/s0036142901392304.

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31

Todor, Radu Alexandru. "Robust Eigenvalue Computation for Smoothing Operators." SIAM Journal on Numerical Analysis 44, no. 2 (2006): 865–78. http://dx.doi.org/10.1137/040616449.

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32

GEUVERS, HERMAN, MILAD NIQUI, BAS SPITTERS, and FREEK WIEDIJK. "Constructive analysis, types and exact real numbers." Mathematical Structures in Computer Science 17, no. 1 (2007): 3–36. http://dx.doi.org/10.1017/s0960129506005834.

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In this paper we will discuss various aspects of computable/constructive analysis, namely semantics, proofs and computations. We will present some of the problems and solutions of exact real arithmetic varying from concrete implementations, representation and algorithms to various models for real computation. We then put these models in a uniform framework using realisability, which opens the door to the use of type theoretic and coalgebraic constructions both in computing and reasoning about these computations. We will indicate that it is often natural to use constructive logic to reason abou

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33

Megahed, S. M. "Force Analysis of Robot Manipulators." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 203, no. 4 (1989): 217–32. http://dx.doi.org/10.1243/pime_proc_1989_203_073_02.

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The design of a robot manipulator to perform a certain task needs the knowledge of the forces and moments exerted on its joints due to static and dynamic loads. This paper presents a mathematical algorithm for computing the joint forces and moments of the robot arm using the Newton-Euler formulation due to a specified load at its end effector. The computation complexity of an n joint robot arm of a general structure is optimized to need 107n multiplications, 113n additions and 81n equations. A computer program has been developed to perform these computations. Two examples are presented to show

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34

Auerbach, Gadiel, and Orna Kupferman. "Formal Analysis of Scientific-Computation Methods." IFAC Proceedings Volumes 36, no. 6 (2003): 295–300. http://dx.doi.org/10.1016/s1474-6670(17)36447-9.

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35

Rizzi, Nicola, and Amabile Tatone. "Using Symbolic Computation in Buckling Analysis." Journal of Symbolic Computation 1, no. 3 (1985): 317–21. http://dx.doi.org/10.1016/s0747-7171(85)80039-0.

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36

Wang, Cheng, and Zhiyuan Li. "Parametric analysis for adaptive computation offloading." ACM SIGPLAN Notices 39, no. 6 (2004): 119–30. http://dx.doi.org/10.1145/996893.996857.

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37

Verhulst, Steven J., and Jerry A. Colliver. "Basic Meta-Analysis: Conceptualization and Computation." Journal of Developmental & Behavioral Pediatrics 30, no. 1 (2009): 75–80. http://dx.doi.org/10.1097/dbp.0b013e318196b0ba.

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38

Koop, Gary. "Bayesian analysis, computation and communication software." Journal of Applied Econometrics 14, no. 6 (1999): 677–89. http://dx.doi.org/10.1002/(sici)1099-1255(199911/12)14:6<677::aid-jae553>3.0.co;2-i.

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39

Higham, N. J. "Numerical Computation: Methods, Software, And Analysis." IEEE Computational Science and Engineering 5, no. 1 (1998): 79. http://dx.doi.org/10.1109/mcse.1998.660318.

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40

Davies, Rowan, and Frank Pfenning. "A modal analysis of staged computation." Journal of the ACM 48, no. 3 (2001): 555–604. http://dx.doi.org/10.1145/382780.382785.

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41

Xia, Yong, Weidong Cai, Xiaofeng Yang, and Shanshan Wang. "Computation Methods for Biomedical Information Analysis." Journal of Healthcare Engineering 2018 (November 1, 2018): 1–2. http://dx.doi.org/10.1155/2018/8683601.

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42

Yap, T. K., O. Frieder, and R. L. Martino. "Parallel computation in biological sequence analysis." IEEE Transactions on Parallel and Distributed Systems 9, no. 3 (1998): 283–94. http://dx.doi.org/10.1109/71.674320.

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43

Reddy, B. Daya. "Modelling, Analysis and Computation in Plasticity." Acta Mathematica Sinica, English Series 35, no. 1 (2018): 64–82. http://dx.doi.org/10.1007/s10114-018-7477-z.

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44

Bini, Dario, Khalide Jbilou, Marilena Mitrouli, and Lothar Reichel. "Numerical Analysis and Scientific Computation (NASCA18)." Journal of Computational and Applied Mathematics 373 (August 2020): 112612. http://dx.doi.org/10.1016/j.cam.2019.112612.

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45

Ali, Agha Iqbal. "Streamlined computation for data envelopment analysis." European Journal of Operational Research 64, no. 1 (1993): 61–67. http://dx.doi.org/10.1016/0377-2217(93)90008-b.

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46

Nasser, Marwa Taher, Ahlam Hanoon Al_Sudani, and Hanady Mohammad Alhilli. "fMRI and Artifact computation and Analysis." Journal of Physics: Conference Series 1818, no. 1 (2021): 012083. http://dx.doi.org/10.1088/1742-6596/1818/1/012083.

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47

Sheintuch, Moshe. "Numerical approaches for computation of fronts." Numerical Methods for Partial Differential Equations 6, no. 1 (1990): 43–58. http://dx.doi.org/10.1002/num.1690060104.

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48

Delyon, Bernard, and Anatoli Juditsky. "On the Computation of Wavelet Coefficients." Journal of Approximation Theory 88, no. 1 (1997): 47–79. http://dx.doi.org/10.1006/jath.1996.3008.

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49

Duverney, Daniel. "Explicit Computation of Padé–Hermite Approximants." Journal of Approximation Theory 88, no. 1 (1997): 80–91. http://dx.doi.org/10.1006/jath.1996.3009.

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50

Ipsen, Ilse C. F., and Teresa M. Selee. "PageRank Computation, with Special Attention to Dangling Nodes." SIAM Journal on Matrix Analysis and Applications 29, no. 4 (2008): 1281–96. http://dx.doi.org/10.1137/060664331.

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