@article{ZVMMF_2014_54_6_a12,
author = {V. P. Varin},
title = {A solution of the {Blasius} problem},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1022},
year = {2014},
volume = {54},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a12/}
}
V. P. Varin. A solution of the Blasius problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a12/
[1] H. Blasius, “Grenzschichten in Fliissigkeiten mit kleiner Reibung”, Z. Math. Phys., 56 (1908), 1–37
[2] C. Töpfer, “Bemerkungen zu dem Aufsatz von H. Blasius 'Grenzschichten in Flussigkeiten mit kleiner Reibung'”, Z. Math. Phys., 60 (1912), 397–398
[3] J. P. Boyd, “The Blasius function in the complex plane”, Experiment. Math., 8 (1999), 381–394 | DOI | MR | Zbl
[4] S. Abbasbandy, C. Bervillier, Analytic continuations of Taylor series and the two-point boundary value problem of some nonlinear ordinary differential equations, 2011, arXiv: 1104.5073v1 | MR
[5] L. Crocco, “Sull strato limite laminare nei gas lungo una lamina plana”, Rend. Math. Appl. Ser. 5, 21 (1941), 138–152
[6] B. Brighi, A. Pruchard, T. Sari, “On the Blasius problem”, Adv. Differ. Eqn., 13 (2008), 509–600 | MR | Zbl
[7] F. Ahmad, W. A. Albarakati, “Application of Pade approximation to solve the Blasius problem”, Proc. Pakistan. Acad. Sci., 44:1 (2007), 17–19 | MR
[8] H. Weyl, “Concerning the differential equations of some boundary-layer problems”, Proc. Natl. Acad. Sci., 27 (1941), 578–583 | DOI | MR
[9] E. Hille, Analytic Functions Theory, v. 1, Chelsea, NY, 1959
[10] A. J. Callegari, M. B. Friedman, “An analytical solution of a nonlinear singular boundary value problem in the theory of viscous fluids”, J. Math. Anal. Appl., 21 (1968), 510–529 | DOI | MR | Zbl
[11] M. Mihoubi, R. Mahdid, “The inverse of power series and the partial Bell polynomials”, J. Integer Sequences, 15 (2012), 1–16 | MR
[12] D. Dominici, Nested derivatives: A simple method for computing series expansions of inverse functions, 2005, arXiv: math/0501052v2 | MR
[13] L. V. Ahlfors, Complex Analysis, 3rd ed., MGH, 1979
[14] K. Knopp, Theory and Applications of Infinite Series, Blackie Son, London, 1946
[15] D. H. Bailey, “A Fortran-90 based multiprecision system”, ACM Trans. Math. Software, 21 (1995), 379–387 | DOI | Zbl
[16] V. P. Varin, Keldysh Institute preprints, 2010, 064, 12 pp. http://library.keldysh.ru/preprint.asp?lg=e&id=2010-64
[17] E. J. Weniger, “Interpolation between sequence transformations”, Numer. Alg., 3 (1992), 477–486 | DOI | MR | Zbl
[18] C. Brezinski, M. R. Zaglia, Extrapolation Methods: Theory and Practice, Elsevier, Amsterdam, 2002 | MR
[19] T. Fessler, W. F. Ford, Smith D. A., “Algorithm 602, HURRY: An acceleration algorithm for scalar sequences and series”, ACM Trans. Math. Software, 9 (1983), 355–357 | DOI | MR