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Zeitschriftenartikel zum Thema „Numerical analysis“

Autor: Grafiati

Veröffentlicht am 4. Juni 2021

Zuletzt aktualisiert am 28. Juni 2025

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1

H, Girija Bai. "Numerical Analysis of Aneurysm in Artery." International Journal of Psychosocial Rehabilitation 24, no. 4 (February 28, 2020): 4975–81. http://dx.doi.org/10.37200/ijpr/v24i4/pr201597.

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2

Song, Daegene. "Numerical Analysis in Entanglement Swapping Protocols." NeuroQuantology 20, no. 2 (April 1, 2022): 153–57. http://dx.doi.org/10.14704/nq.2022.20.2.nq22083.

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Entanglement has recently been one of the most essential elements in the development of various quantum technologies. In fact, a swapping protocol was introduced to create a long-distance entanglement from multiple shorter ones. Extending the previous work, this paper provides a more detailed numerical analysis to help create long-distance entanglement out of the two non-maximal three-level states. Specifically, it shows that while the protocol does not always yield optimal results, namely, the weaker link, there is a substantial number of states that yield an optimal result. Moreover, we discuss the numerical approach in showing the existence of states that provide a result close to the optimal outcome, which may be useful in realizing the long-distance entanglement used in quantum technology.

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3

Ellerby, F. B., I. Jacques, and C. Judd. "Numerical Analysis." Mathematical Gazette 72, no. 460 (June 1988): 156. http://dx.doi.org/10.2307/3618958.

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4

Jackson, I. R. H., and Bill Dalton. "Numerical Analysis." Mathematical Gazette 76, no. 476 (July 1992): 307. http://dx.doi.org/10.2307/3619167.

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5

Mudge, Michael Richard, and Peter R. Turner. "Numerical Analysis." Mathematical Gazette 81, no. 491 (July 1997): 342. http://dx.doi.org/10.2307/3619249.

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6

Strawderman, William E., and Rainer Kress. "Numerical Analysis." Journal of the American Statistical Association 95, no. 449 (March 2000): 348. http://dx.doi.org/10.2307/2669585.

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7

Brezinski, C. "Numerical analysis." Mathematics and Computers in Simulation 31, no. 6 (February 1990): 596. http://dx.doi.org/10.1016/0378-4754(90)90072-q.

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8

Clarke, G. M., R. L. Burden, and J. D. Faires. "Numerical Analysis." Statistician 41, no. 1 (1992): 128. http://dx.doi.org/10.2307/2348648.

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9

G., W., and David F. Griffiths. "Numerical Analysis." Mathematics of Computation 46, no. 174 (April 1986): 767. http://dx.doi.org/10.2307/2008021.

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10

G., W., and David F. Griffiths. "Numerical Analysis." Mathematics of Computation 45, no. 171 (July 1985): 274. http://dx.doi.org/10.2307/2008070.

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11

G., W., D. F. Griffiths, and G. A. Watson. "Numerical Analysis." Mathematics of Computation 49, no. 179 (July 1987): 307. http://dx.doi.org/10.2307/2008271.

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12

Atkinson, Kendall. "Numerical analysis." Scholarpedia 2, no. 8 (2007): 3163. http://dx.doi.org/10.4249/scholarpedia.3163.

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13

Brandimarte, Paolo. "Numerical analysis." Wiley Interdisciplinary Reviews: Computational Statistics 3, no. 5 (April 18, 2011): 434–49. http://dx.doi.org/10.1002/wics.172.

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14

Rannacher, Rolf. "Numerical analysis of the Navier-Stokes equations." Applications of Mathematics 38, no. 4 (1993): 361–80. http://dx.doi.org/10.21136/am.1993.104560.

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15

Perumal, Logah, C. P. Tso, and Lim Thong Leng. "Novel Polyhedral Finite Elements for Numerical Analysis." International Journal of Computer and Electrical Engineering 9, no. 2 (2017): 492–501. http://dx.doi.org/10.17706/ijcee.2017.9.2.492-501.

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16

Marek, Ivo. "International Symposium on Numerical Analysis ISNA'92. Preface." Applications of Mathematics 38, no. 4 (1993): 241–42. http://dx.doi.org/10.21136/am.1993.104551.

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17

Shrivastava, Gajendra, and Pankaj Sharma. "Numerical Analysis of Shockwave Dynamics in Contraction Channels." International Journal of Science and Research (IJSR) 13, no. 10 (October 5, 2024): 2031–32. http://dx.doi.org/10.21275/sr241028200442.

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18

Shah, Mr Ronak S., and Prof D. A. Warke. "Numerical Analysis of Friction Stir Welding for AA6061 by Finite Element Analysis." International Journal of Trend in Scientific Research and Development Volume-2, Issue-2 (February 28, 2018): 408–17. http://dx.doi.org/10.31142/ijtsrd9430.

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19

I., E., Curtis F. Gerald, and Patrick O. Wheatley. "Applied Numerical Analysis." Mathematics of Computation 44, no. 169 (January 1985): 279. http://dx.doi.org/10.2307/2007813.

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20

Mudge, Michael Richard, and Gwynne A. Evans. "Practical Numerical Analysis." Mathematical Gazette 81, no. 491 (July 1997): 343. http://dx.doi.org/10.2307/3619250.

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21

G., W., and Kendall Atkinson. "Elementary Numerical Analysis." Mathematics of Computation 62, no. 205 (January 1994): 434. http://dx.doi.org/10.2307/2153423.

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22

Watson, Layne T., Michael Bartholomew-Biggs, and John Ford. "Numerical Analysis 2000." Journal of Computational and Applied Mathematics 124, no. 1-2 (December 2000): ix—x. http://dx.doi.org/10.1016/s0377-0427(00)00416-7.

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23

Baker, Christopher, Manchester, Giovanni Monegato, Turin, John Pryce, Shrivenham, Guido Vanden Berghe, and Gent. "Numerical Analysis 2000." Journal of Computational and Applied Mathematics 125, no. 1-2 (December 2000): xi—xviii. http://dx.doi.org/10.1016/s0377-0427(00)00454-4.

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24

Charafi, A. "Applied numerical analysis." Engineering Analysis with Boundary Elements 10, no. 1 (January 1992): 89–90. http://dx.doi.org/10.1016/0955-7997(92)90089-p.

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25

W., L. B., and Colin W. Crye. "Numerical Functional Analysis." Mathematics of Computation 45, no. 171 (July 1985): 270. http://dx.doi.org/10.2307/2008066.

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26

Minkoff, M., and Kendall Atkinson. "Elementary Numerical Analysis." Mathematics of Computation 47, no. 176 (October 1986): 749. http://dx.doi.org/10.2307/2008188.

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27

Adomaitis, Raymond A., and Ali Çinar. "Numerical singularity analysis." Chemical Engineering Science 46, no. 4 (1991): 1055–62. http://dx.doi.org/10.1016/0009-2509(91)85098-i.

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28

Vieru, Dumitru, Constantin Fetecau, Nehad Ali Shah, and Jae Dong Chung. "Numerical Approaches of the Generalized Time-Fractional Burgers’ Equation with Time-Variable Coefficients." Journal of Function Spaces 2021 (December 8, 2021): 1–14. http://dx.doi.org/10.1155/2021/8803182.

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The generalized time-fractional, one-dimensional, nonlinear Burgers equation with time-variable coefficients is numerically investigated. The classical Burgers equation is generalized by considering the generalized Atangana-Baleanu time-fractional derivative. The studied model contains as particular cases the Burgers equation with Atangana-Baleanu, Caputo-Fabrizio, and Caputo time-fractional derivatives. A numerical scheme, based on the finite-difference approximations and some integral representations of the two-parameter Mittag-Leffler functions, has been developed. Numerical solutions of a particular problem with initial and boundary values are determined by employing the proposed method. The numerical results are plotted to compare solutions corresponding to the problems with time-fractional derivatives with different kernels.

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29

Ouyanga, Kwan, Reui-Kuo Lina, Sheng-Ju Wu, and Wen-Hann Sheu. "The Numerical Analysis of Flow Field on Warship Deck." International Journal of Engineering Research 4, no. 3 (March 1, 2015): 118–22. http://dx.doi.org/10.17950/ijer/v4s3/307.

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30

C N, Jayapragasan, and Dr K. Janardhan Reddy. "Numerical Analysis and Experimental Verification of an Industrial Cleaner." International Journal of Engineering Research 4, no. 4 (April 1, 2015): 216–21. http://dx.doi.org/10.17950/ijer/v4s4/411.

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31

M.L., Pavan Kishore. "Numerical Study Free Vibration Analysis of Thin Rectangular Plates." Journal of Advanced Research in Dynamical and Control Systems 12, SP8 (July 30, 2020): 351–60. http://dx.doi.org/10.5373/jardcs/v12sp8/20202533.

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32

JITARAȘU, Octavian. "HYBRID COMPOSITE MATERIALS FOR BALLISTIC PROTECTION. A NUMERICAL ANALYSIS." Review of the Air Force Academy 17, no. 2 (December 16, 2019): 47–56. http://dx.doi.org/10.19062/1842-9238.2019.17.2.6.

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33

Song, Daegene. "Data Analysis in an Entanglement Network Using Numerical Methods." NeuroQuantology 20, no. 2 (April 1, 2022): 158–64. http://dx.doi.org/10.14704/nq.2022.20.2.nq22084.

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While the foundation of quantum theory has been debated, its pragmatism has made it enormously productive. Establishing secret keys over long distances has been realized in the real world. Once considered only a hype, quantum computers have also been implemented in laboratories and are performing computations that are superior to their classical counterparts. In this paper, building on previous work, three 2-level entangled states are studied. In particular, the extensive range of states that yield the near-optimal result when entanglement swapping is applied at joints is numerically examined. This result is useful in establishing long-distance maximally entangled states, which are often preferred to short, non-maximal ones when used in applications. The precise nature of physical reality has been debated ever since the birth of quantum theory about a century ago. In this paper, reality is described not only in its physical aspects, but also as it pertains to consciousness. This physical reality in the context of mind is discussed using various examples, including entanglement and the Chinese room argument.

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34

Jalaluddin and Akio Miyara. "A214 Numerical analysis of GHE Performance in Different Conditions." Proceedings of the Thermal Engineering Conference 2012 (2012): 331–32. http://dx.doi.org/10.1299/jsmeted.2012.331.

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35

S Chauhan, Vijaysingh, and Sameer Q Syed. "Numerical Stress Analysis of Uniform and Stiffened Hydraulic Cylinder." International Journal of Scientific Engineering and Research 3, no. 4 (April 27, 2015): 55–59. https://doi.org/10.70729/ijser1580.

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36

Anima, Chinnababu, and Rajesh Kandula. "Numerical Study of Formula One Halo Frame Aerodynamic Analysis." International Journal of Science and Research (IJSR) 8, no. 11 (November 5, 2019): 2003–8. http://dx.doi.org/10.21275/sr24119232911.

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37

Patil, Akshay, and Manas Rathore. "Dynamic Analysis of Sloped Building: Experimental & Numerical Studies." International Journal of Science and Research (IJSR) 10, no. 6 (June 27, 2021): 997–1000. https://doi.org/10.21275/sr21612120449.

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38

Panday, K. M., P. L. Choudhury, and N. P. Kumar. "Numerical Unsteady Analysis of Thin Film Lubricated Journal Bearing." International Journal of Engineering and Technology 4, no. 2 (2012): 185–91. http://dx.doi.org/10.7763/ijet.2012.v4.346.

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39

Alomari, Mohammad W., Satyajit Sahoo, and Mojtaba Bakherad. "Further numerical radius inequalities." Journal of Mathematical Inequalities, no. 1 (2022): 307–26. http://dx.doi.org/10.7153/jmi-2022-16-22.

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40

Alessa, Nazek. "Transformation Magnetohydrodynamics in Presence of a Channel Filled with Porous Medium and Heat Transfer of Non-Newtonian Fluid by Using Lie Group Transformations." Journal of Function Spaces 2020 (October 22, 2020): 1–6. http://dx.doi.org/10.1155/2020/8840287.

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In this paper, the numerical results are presented by using Lie group transformations, to be more efficient and sophisticated. To solve various fluid dynamic problems numerically, we present the numerical results in a field of velocity and distribution of temperature for different parameters regarding the problem of radiative heat, a magnetohydrodynamics, and non-Newtonian viscoelasticity for the unstable flow of optically thin fluid inside a channel filled with nonuniform wall temperature and saturated porous medium, including Hartmann number, porous medium and frequency parameter, and radiation parameter, with a comparison of the corresponding flow problems for a Newtonian fluid. Moreover, the effects of the pertinent parameters on the friction coefficient of skin and local Nusselt number were discussed numerically and also illustrate that graphically.

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41

Wang, Yinkun, Jianshu Luo, and Xiangling Chen. "Analysis of Numerical Measure and Numerical Integration Based on Measure." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/474089.

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We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. Further, we analyze the error bound of numerical measure integration and prove that the numerical measure integration can decrease the singularity for singular integrals. Numerical examples are presented to confirm the theoretical results.

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42

Bo, Yu, Dan Tian, Xiao Liu, and Yuanfeng Jin. "Discrete Maximum Principle and Energy Stability of the Compact Difference Scheme for Two-Dimensional Allen-Cahn Equation." Journal of Function Spaces 2022 (February 10, 2022): 1–15. http://dx.doi.org/10.1155/2022/8522231.

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The Allen-Cahn model is discussed mainly in the phase field simulation. The compact difference method will be used to numerically approximate the two-dimensional nonlinear Allen-Cahn equation with initial and boundary value conditions, and then, a fully discrete compact difference scheme with second-order accuracy in time and fourth-order in space is established. And its numerical solution satisfies the discrete maximum principle under the constraints of reasonable space and time steps. On this basis, the energy stability of the scheme is investigated. Finally, numerical examples are given to illustrate the theoretical results.

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43

Kadir Aziz, A., Donald A. French, Soren Jensen, and R. Bruce Kellogg. "Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem." ESAIM: Mathematical Modelling and Numerical Analysis 33, no. 5 (September 1999): 895–922. http://dx.doi.org/10.1051/m2an:1999125.

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44

Piqueras, M. A., R. Company, and L. Jódar. "Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems." Abstract and Applied Analysis 2019 (July 1, 2019): 1–7. http://dx.doi.org/10.1155/2019/5787329.

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This paper deals with solving numerically partial integrodifferential equations appearing in biological dynamics models when nonlocal interaction phenomenon is considered. An explicit finite difference scheme is proposed to get a numerical solution preserving qualitative properties of the solution. Gauss quadrature rules are used for the computation of the integral part of the equation taking advantage of its accuracy and low computational cost. Numerical analysis including consistency, stability, and positivity is included as well as numerical examples illustrating the efficiency of the proposed method.

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45

Mudge, Michael R., and Gilbert W. Stewart. "Afternotes on Numerical Analysis." Mathematical Gazette 81, no. 490 (March 1997): 188. http://dx.doi.org/10.2307/3618833.

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46

Mudge, Michael R., and Walter Gautschi. "Numerical Analysis: An Introduction." Mathematical Gazette 83, no. 497 (July 1999): 372. http://dx.doi.org/10.2307/3619117.

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47

S., F., Lars Elden, and Linde Wittmeyer-Koch. "Numerical Analysis: An Introduction." Mathematics of Computation 57, no. 196 (October 1991): 870. http://dx.doi.org/10.2307/2938725.

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48

Buhmann, Martin, J. Stoer, and R. Bulirsch. "Introduction to Numerical Analysis." Mathematical Gazette 79, no. 484 (March 1995): 243. http://dx.doi.org/10.2307/3620125.

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49

I., E., James L. Buchanan, and Peter R. Turner. "Numerical Methods and Analysis." Mathematics of Computation 60, no. 202 (April 1993): 848. http://dx.doi.org/10.2307/2153126.

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50

Froberg, Carl-Erik, J. Stoer, R. Bulirsch, R. Bartels, W. Gautschi, and C. Witzgall. "Introduction to Numerical Analysis." Mathematics of Computation 63, no. 207 (July 1994): 421. http://dx.doi.org/10.2307/2153586.

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