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Costa, Stefano; Trefethen, Lloyd N.

AAA-least squares rational approximation and solution of Laplace problems. (English) Zbl 07763403

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 511-534 (2023).
MSC:  41A20 30E10 44A10 44A15 65N35
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\textit{S. Costa} and \textit{L. N. Trefethen}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 511--534 (2023; Zbl 07763403)
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Bugeaud, Yann; Laurent, Michel

Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers. (Structure combinatoire des mots Sturmiens et développement en fraction continue des nombres Sturmiens.) (English. French summary) Zbl 07748426

Ann. Inst. Fourier 73, No. 5, 2029-2078 (2023).
Reviewer: Oleg Karpenkov (Liverpool)
MSC:  11J04 11J70 11J81 68R15
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\textit{Y. Bugeaud} and \textit{M. Laurent}, Ann. Inst. Fourier 73, No. 5, 2029--2078 (2023; Zbl 07748426)
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Potseiko, P. G.; Rovba, Y. A.

On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles. (English. Russian original) Zbl 1518.42004

Math. Notes 113, No. 6, 815-830 (2023); translation from Mat. Zametki 113, No. 6, 876-894 (2023).
MSC:  42A10 41A20 41A50
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\textit{P. G. Potseiko} and \textit{Y. A. Rovba}, Math. Notes 113, No. 6, 815--830 (2023; Zbl 1518.42004); translation from Mat. Zametki 113, No. 6, 876--894 (2023)
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Budiša, Ana; Hu, Xiaozhe; Kuchta, Miroslav; Mardal, Kent-André; Zikatanov, Ludmil

Rational approximation preconditioners for multiphysics problems. (English) Zbl 1521.65014

Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 100-113 (2023).
MSC:  65D15 65F08 65N30
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\textit{A. Budiša} et al., Lect. Notes Comput. Sci. 13858, 100--113 (2023; Zbl 1521.65014)
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Sintsova, K. A.; Shirokov, N. A.

Approximation by polynomials composed of Weierstrass doubly periodic functions. (English. Russian original) Zbl 1516.32001

Vestn. St. Petersbg. Univ., Math. 56, No. 1, 46-56 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 62-73 (2023).
MSC:  32A08 32E30 30C10 30E10
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\textit{K. A. Sintsova} and \textit{N. A. Shirokov}, Vestn. St. Petersbg. Univ., Math. 56, No. 1, 46--56 (2023; Zbl 1516.32001); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 62--73 (2023)
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Malachivskyy, P. S.; Melnychok, L. S.; Pizyur, Ya. V.

Chebyshev approximation of multivariable functions by a constrained rational expression. (English. Ukrainian original) Zbl 07683863

Cybern. Syst. Anal. 59, No. 1, 146-155 (2023); translation from Kibern. Sist. Anal. 59, No. 1, 169-179 (2023).
MSC:  41Axx 65Dxx 41-XX
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\textit{P. S. Malachivskyy} et al., Cybern. Syst. Anal. 59, No. 1, 146--155 (2023; Zbl 07683863); translation from Kibern. Sist. Anal. 59, No. 1, 169--179 (2023)
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Platonov, Vladimir; Rapinchuk, Andrei; Rapinchuk, Igor

Algebraic groups and number theory. Volume 1. 2nd revised edition of the book originally published in one volume. (English) Zbl 1520.20002

Cambridge Studies in Advanced Mathematics 205. Cambridge: Cambridge University Press (ISBN 978-0-521-11361-8/hbk; 978-1-139-01775-6/ebook). xvi, 362 p. (2023).
MSC:  20-02 11-02 20G30 11E72 11Rxx
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\textit{V. Platonov} et al., Algebraic groups and number theory. Volume 1. 2nd revised edition of the book originally published in one volume. Cambridge: Cambridge University Press (2023; Zbl 1520.20002)
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Potseiko, P. G.; Rovba, E. A.

The De La Vallée Poussin sums of Fourier-Chebyshev rational integral operators and approximations to Poisson integrals on the segment [-1,1]. (The De La Vallée Poussin sums of Fourier-Chebyshev rational integral operators and approximations to Poisson integrals on the segment.) (English. Russian original) Zbl 07658747

Sib. Math. J. 64, No. 1, 137-156 (2023); translation from Sib. Mat. Zh. 64, No. 1, 162-183 (2023).
MSC:  42A10 42A24 41A35
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\textit{P. G. Potseiko} and \textit{E. A. Rovba}, Sib. Math. J. 64, No. 1, 137--156 (2023; Zbl 07658747); translation from Sib. Mat. Zh. 64, No. 1, 162--183 (2023)
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