Relevant bibliographies by topics / Padé approximation

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  1. Journal articles

Academic literature on the topic 'Padé approximation'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 June 2025

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Journal articles on the topic "Padé approximation"

1

Khodier, Ahmed M. M. "Perturbed padé approximation." International Journal of Computer Mathematics 74, no. 2 (2000): 247–53. http://dx.doi.org/10.1080/00207160008804938.

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2

Guillaume, Philippe, and Alain Huard. "Multivariate Padé approximation." Journal of Computational and Applied Mathematics 121, no. 1-2 (2000): 197–219. http://dx.doi.org/10.1016/s0377-0427(00)00337-x.

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3

Brezinski, Claude. "Partial Padé approximation." Journal of Approximation Theory 54, no. 2 (1988): 210–33. http://dx.doi.org/10.1016/0021-9045(88)90020-2.

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4

Fasondini, Marco, Nicholas Hale, Rene Spoerer, and J. A. C. Weideman. "Quadratic Padé Approximation: Numerical Aspects and Applications." Computer Research and Modeling 11, no. 6 (2019): 1017–31. http://dx.doi.org/10.20537/2076-7633-2019-11-6-1017-1031.

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5

Daras, Nicholas J. "Composed Padé-type approximation." Journal of Computational and Applied Mathematics 134, no. 1-2 (2001): 95–112. http://dx.doi.org/10.1016/s0377-0427(00)00531-8.

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6

Allouche, Hassane, Ebby Mint El Agheb, and Noura Ghanou. "Adapted multivariate Padé approximation." Applied Numerical Mathematics 62, no. 9 (2012): 1061–76. http://dx.doi.org/10.1016/j.apnum.2011.07.007.

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7

Bultheel, Adhemar, and Marc Van Barel. "Minimal vector Padé approximation." Journal of Computational and Applied Mathematics 32, no. 1-2 (1990): 27–37. http://dx.doi.org/10.1016/0377-0427(90)90413-t.

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8

Song, Hanjie, Yingjie Gao, Jinhai Zhang, and Zhenxing Yao. "Long-offset moveout for VTI using Padé approximation." GEOPHYSICS 81, no. 5 (2016): C219—C227. http://dx.doi.org/10.1190/geo2015-0094.1.

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Abstract:
The approximation of normal moveout is essential for estimating the anisotropy parameters of the transversally isotropic media with vertical symmetry axis (VTI). We have approximated the long-offset moveout using the Padé approximation based on the higher order Taylor series coefficients for VTI media. For a given anellipticity parameter, we have the best accuracy when the numerator is one order higher than the denominator (i.e., [[Formula: see text]]); thus, we suggest using [4/3] and [7/6] orders for practical applications. A [7/6] Padé approximation can handle a much larger offset and stronger anellipticity parameter. We have further compared the relative traveltime errors between the Padé approximation and several approximations. Our method shows great superiority to most existing methods over a wide range of offset (normalized offset up to 2 or offset-to-depth ratio up to 4) and anellipticity parameter (0–0.5). The Padé approximation provides us with an attractive high-accuracy scheme with an error that is negligible within its convergence domain. This is important for reducing the error accumulation especially for deeper substructures.
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9

Sadaka, R. "Padé approximation of vector functions." Applied Numerical Mathematics 21, no. 1 (1996): 57–70. http://dx.doi.org/10.1016/0168-9274(96)00002-5.

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10

Brookes, Richard G. "The quadratic hermite-padé approximation." Bulletin of the Australian Mathematical Society 40, no. 3 (1989): 489. http://dx.doi.org/10.1017/s0004972700017561.

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