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Journal articles on the topic 'Numerical analysis methods'

Author: Grafiati

Published: 29 March 2025

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1

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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2

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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3

Bunse-Gerstner, Angelika, Ralph Byers, and Volker Mehrmann. "Numerical Methods for Simultaneous Diagonalization." SIAM Journal on Matrix Analysis and Applications 14, no. 4 (October 1993): 927–49. http://dx.doi.org/10.1137/0614062.

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4

Rice, J. R., and H. Saunders. "Numerical Methods, Software and Analysis." Journal of Vibration and Acoustics 108, no. 2 (April 1, 1986): 232–33. http://dx.doi.org/10.1115/1.3269330.

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5

Glowinski, Roland. "Nonlinear methods in numerical analysis." Computer Methods in Applied Mechanics and Engineering 66, no. 3 (February 1988): 369. http://dx.doi.org/10.1016/0045-7825(88)90008-4.

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6

Jacobsen, Lisa, Annie Cuyt, and Luc Wuytack. "Nonlinear Methods in Numerical Analysis." Mathematics of Computation 51, no. 183 (July 1988): 380. http://dx.doi.org/10.2307/2008603.

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7

Braess, D., and R. Verfürth. "Multigrid Methods for Nonconforming Finite Element Methods." SIAM Journal on Numerical Analysis 27, no. 4 (August 1990): 979–86. http://dx.doi.org/10.1137/0727056.

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8

Natterer, Frank. "Numerical methods in tomography." Acta Numerica 8 (January 1999): 107–41. http://dx.doi.org/10.1017/s0962492900002907.

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In this article we review the image reconstruction algorithms used in tomography. We restrict ourselves to the standard problems in the reconstruction of function from line or plane integrals as they occur in X-ray tomography, nuclear medicine, magnetic resonance imaging, and electron microscopy. Nonstandard situations, such as incomplete data, unknown orientations, local tomography, and discrete tomography are not dealt with. Nor do we treat nonlinear tomographic techniques such as impedance, ultrasound, and near-infrared imaging.

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9

Park, Jongho. "Additive Schwarz Methods for Convex Optimization as Gradient Methods." SIAM Journal on Numerical Analysis 58, no. 3 (January 2020): 1495–530. http://dx.doi.org/10.1137/19m1300583.

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10

Pao, C. V. "Numerical Methods for Semilinear Parabolic Equations." SIAM Journal on Numerical Analysis 24, no. 1 (February 1987): 24–35. http://dx.doi.org/10.1137/0724003.

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11

Anderson, Christopher, and Claude Greengard. "On Vortex Methods." SIAM Journal on Numerical Analysis 22, no. 3 (June 1985): 413–40. http://dx.doi.org/10.1137/0722025.

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12

Faber, Vance, and Thomas A. Manteuffel. "Orthogonal Error Methods." SIAM Journal on Numerical Analysis 24, no. 1 (February 1987): 170–87. http://dx.doi.org/10.1137/0724014.

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13

Marion, Martine, and Roger Temam. "Nonlinear Galerkin Methods." SIAM Journal on Numerical Analysis 26, no. 5 (October 1989): 1139–57. http://dx.doi.org/10.1137/0726063.

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14

Martínez, José Mario. "SOR-Secant Methods." SIAM Journal on Numerical Analysis 31, no. 1 (February 1994): 217–26. http://dx.doi.org/10.1137/0731011.

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15

Higueras, Inmaculada. "Representations of Runge--Kutta Methods and Strong Stability Preserving Methods." SIAM Journal on Numerical Analysis 43, no. 3 (January 2005): 924–48. http://dx.doi.org/10.1137/s0036142903427068.

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16

Mészáros, Csaba. "On Numerical Issues of Interior Point Methods." SIAM Journal on Matrix Analysis and Applications 30, no. 1 (January 2008): 223–35. http://dx.doi.org/10.1137/050633354.

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17

Kelley, C. T. "Numerical methods for nonlinear equations." Acta Numerica 27 (May 1, 2018): 207–87. http://dx.doi.org/10.1017/s0962492917000113.

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This article is about numerical methods for the solution of nonlinear equations. We consider both the fixed-point form $\mathbf{x}=\mathbf{G}(\mathbf{x})$ and the equations form $\mathbf{F}(\mathbf{x})=0$ and explain why both versions are necessary to understand the solvers. We include the classical methods to make the presentation complete and discuss less familiar topics such as Anderson acceleration, semi-smooth Newton’s method, and pseudo-arclength and pseudo-transient continuation methods.

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18

Frénod, Emmanuel. "Homogenization-based numerical methods." Discrete and Continuous Dynamical Systems - Series S 9, no. 5 (October 2016): i—ix. http://dx.doi.org/10.3934/dcdss.201605i.

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19

Birks, H. J. B., and A. D. Gordon. "Numerical Methods in Quaternary Pollen Analysis." Biometrics 45, no. 3 (September 1989): 1036. http://dx.doi.org/10.2307/2531714.

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20

Huntley, B., H. J. B. Birks, and A. D. Gordon. "Numerical Methods in Quaternary Pollen Analysis." Journal of Ecology 75, no. 4 (December 1987): 1201. http://dx.doi.org/10.2307/2260325.

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21

Soares Jr., Delfim, Otto von Estorff, Jan Sladek, and Luis Godinho. "Coupled Numerical Methods in Engineering Analysis." Mathematical Problems in Engineering 2011 (2011): 1–4. http://dx.doi.org/10.1155/2011/436978.

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22

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

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23

Munaut, AndréV. "Numerical methods in quaternary pollen analysis." Review of Palaeobotany and Palynology 52, no. 2-3 (June 1987): 251–52. http://dx.doi.org/10.1016/0034-6667(87)90059-5.

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24

Janssen, C. R. "Numerical methods in quaternary pollen analysis." Palaeogeography, Palaeoclimatology, Palaeoecology 64, no. 1-2 (March 1988): 117–18. http://dx.doi.org/10.1016/0031-0182(88)90151-4.

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25

Xu, Ji-Hong, and A.-Li Zhang. "Numerical analysis of the symmetric methods." Astrophysics and Space Science 225, no. 2 (1995): 289–97. http://dx.doi.org/10.1007/bf00613243.

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26

Hirons, Kenneth R. "Numerical methods in quaternary pollen analysis." Journal of Archaeological Science 13, no. 6 (November 1986): 604–5. http://dx.doi.org/10.1016/0305-4403(86)90048-8.

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27

Lorenc, A. C. "Analysis methods for numerical weather prediction." Quarterly Journal of the Royal Meteorological Society 112, no. 474 (October 1986): 1177–94. http://dx.doi.org/10.1002/qj.49711247414.

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28

da Veiga, L. Beira͂o, D. Cho, L. F. Pavarino, and S. Scacchi. "Overlapping Schwarz Methods for Isogeometric Analysis." SIAM Journal on Numerical Analysis 50, no. 3 (January 2012): 1394–416. http://dx.doi.org/10.1137/110833476.

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29

Pawlowski, Roger P., Joseph P. Simonis, Homer F. Walker, and John N. Shadid. "Inexact Newton Dogleg Methods." SIAM Journal on Numerical Analysis 46, no. 4 (January 2008): 2112–32. http://dx.doi.org/10.1137/050632166.

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30

Rüde, Ulrich. "Fully Adaptive Multigrid Methods." SIAM Journal on Numerical Analysis 30, no. 1 (February 1993): 230–48. http://dx.doi.org/10.1137/0730011.

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31

E, Weinan, and Xiao-Ping Wang. "Numerical Methods for the Landau--Lifshitz Equation." SIAM Journal on Numerical Analysis 38, no. 5 (January 2000): 1647–65. http://dx.doi.org/10.1137/s0036142999352199.

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32

Govaerts, W., Yu A. Kuznetsov, and B. Sijnave. "Numerical Methods for the Generalized Hopf Bifurcation." SIAM Journal on Numerical Analysis 38, no. 1 (January 2000): 329–46. http://dx.doi.org/10.1137/s0036142999352552.

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33

Chu, Moody T. "Numerical Methods for Inverse Singular Value Problems." SIAM Journal on Numerical Analysis 29, no. 3 (June 1992): 885–903. http://dx.doi.org/10.1137/0729054.

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34

Yadav, Chandrajeet Singh. "Comparative Analysis of Different Numerical Methods of Solving First Order Differential Equation." International Journal of Trend in Scientific Research and Development Volume-2, Issue-4 (June 30, 2018): 567–70. http://dx.doi.org/10.31142/ijtsrd13045.

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35

Khoromskij, B. N., and J. M. Melenk. "Boundary Concentrated Finite Element Methods." SIAM Journal on Numerical Analysis 41, no. 1 (January 2003): 1–36. http://dx.doi.org/10.1137/s0036142901391852.

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36

Hundsdorfer, Willem, Steven J. Ruuth, and Raymond J. Spiteri. "Monotonicity-Preserving Linear Multistep Methods." SIAM Journal on Numerical Analysis 41, no. 2 (January 2003): 605–23. http://dx.doi.org/10.1137/s0036142902406326.

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37

Araújo, A. L., A. Murua, and J. M. Sanz-Serna. "Symplectic Methods Based on Decompositions." SIAM Journal on Numerical Analysis 34, no. 5 (October 1997): 1926–47. http://dx.doi.org/10.1137/s0036142995292128.

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38

Janssen, Jan, and Stefan Vandewalle. "On SOR Waveform Relaxation Methods." SIAM Journal on Numerical Analysis 34, no. 6 (December 1997): 2456–81. http://dx.doi.org/10.1137/s0036142995294292.

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39

Shampine, Lawrence F. "Interpolation for Runge–Kutta Methods." SIAM Journal on Numerical Analysis 22, no. 5 (October 1985): 1014–27. http://dx.doi.org/10.1137/0722060.

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40

Kamowitz, David, and Seymour V. Parter. "On MGR$[\nu ]$ Multigrid Methods." SIAM Journal on Numerical Analysis 24, no. 2 (April 1987): 366–81. http://dx.doi.org/10.1137/0724028.

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41

Eiermann, M., X. Li, and R. S. Varga. "On Hybrid Semi-Iterative Methods." SIAM Journal on Numerical Analysis 26, no. 1 (February 1989): 152–68. http://dx.doi.org/10.1137/0726009.

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42

Scott, Larkin B., and L. Ridgway Scott. "Efficient Methods for Data Smoothing." SIAM Journal on Numerical Analysis 26, no. 3 (June 1989): 681–92. http://dx.doi.org/10.1137/0726040.

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43

Axelsson, O., and P. S. Vassilevski. "Algebraic Multilevel Preconditioning Methods, II." SIAM Journal on Numerical Analysis 27, no. 6 (December 1990): 1569–90. http://dx.doi.org/10.1137/0727092.

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44

Jackiewicz, Z., R. Renaut, and A. Feldstein. "Two-Step Runge–Kutta Methods." SIAM Journal on Numerical Analysis 28, no. 4 (August 1991): 1165–82. http://dx.doi.org/10.1137/0728062.

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45

Nakashima, Masaharu. "Embedded Pseudo-Runge–Kutta Methods." SIAM Journal on Numerical Analysis 28, no. 6 (December 1991): 1790–802. http://dx.doi.org/10.1137/0728089.

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46

Marténez, José Mario. "Fixed-Point Quasi-Newton Methods." SIAM Journal on Numerical Analysis 29, no. 5 (October 1992): 1413–34. http://dx.doi.org/10.1137/0729081.

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47

Goldstein, Charles I. "Preconditioning Nonconforming Finite Element Methods." SIAM Journal on Numerical Analysis 31, no. 6 (December 1994): 1623–44. http://dx.doi.org/10.1137/0731084.

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48

Jackiewicz, Zdzislaw. "Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations." SIAM Journal on Numerical Analysis 23, no. 2 (April 1986): 423–52. http://dx.doi.org/10.1137/0723029.

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49

März, Roswitha. "Numerical methods for differential algebraic equations." Acta Numerica 1 (January 1992): 141–98. http://dx.doi.org/10.1017/s0962492900002269.

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50

Miranker, Willard L., and Andrew Winkler. "Path integral numerical methods for evolution equations." Numerical Methods for Partial Differential Equations 6, no. 2 (1990): 127–35. http://dx.doi.org/10.1002/num.1690060203.

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