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1

H, Girija Bai. "Numerical Analysis of Aneurysm in Artery." International Journal of Psychosocial Rehabilitation 24, no. 4 (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 (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 disc
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3

Ellerby, F. B., I. Jacques, and C. Judd. "Numerical Analysis." Mathematical Gazette 72, no. 460 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (2000): ix—x. http://dx.doi.org/10.1016/s0377-0427(00)00416-7.

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23

Baker, Christopher, Manchester, Giovanni Monegato, et al. "Numerical Analysis 2000." Journal of Computational and Applied Mathematics 125, no. 1-2 (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 (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 (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 (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
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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 (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 (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 (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 (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 (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.
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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 (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 (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 (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

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 radiat
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40

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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41

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
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42

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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43

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 propo
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44

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 (1999): 895–922. http://dx.doi.org/10.1051/m2an:1999125.

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Mudge, Michael R., and Gilbert W. Stewart. "Afternotes on Numerical Analysis." Mathematical Gazette 81, no. 490 (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 (1999): 372. http://dx.doi.org/10.2307/3619117.

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S., F., Lars Elden, and Linde Wittmeyer-Koch. "Numerical Analysis: An Introduction." Mathematics of Computation 57, no. 196 (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 (1995): 243. http://dx.doi.org/10.2307/3620125.

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I., E., James L. Buchanan, and Peter R. Turner. "Numerical Methods and Analysis." Mathematics of Computation 60, no. 202 (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 (1994): 421. http://dx.doi.org/10.2307/2153586.

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