Geodesic
Discretization of solutions to a~wave equation, numerical differentiation, and function reconstruction for a~computer (computing) diameter
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 86-93.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study three concretizations for a computer (computing) diameter, namely, the discretization of solutions to the Klein–Gordon equation, numerical differentiation, and the function reconstruction.
Keywords: computer (computing) diameter, discretization of solutions to differential equations, operator discretization, function reconstruction, informative cardinality of given set of functionals, limiting accuracy. 
@article{IVM_2013_8_a8,
     author = {N. Temirgaliev and Sh. K. Abikenova and A. Zh. Zhubanysheva and G. E. Taugynbaeva},
     title = {Discretization of solutions to a~wave equation, numerical differentiation, and function reconstruction for a~computer (computing) diameter},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--93},
     publisher = {mathdoc},
     number = {8},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_8_a8/}
}
TY  - JOUR
AU  - N. Temirgaliev
AU  - Sh. K. Abikenova
AU  - A. Zh. Zhubanysheva
AU  - G. E. Taugynbaeva
TI  - Discretization of solutions to a~wave equation, numerical differentiation, and function reconstruction for a~computer (computing) diameter
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 86
EP  - 93
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_8_a8/
LA  - ru
ID  - IVM_2013_8_a8
ER  - 
%0 Journal Article
%A N. Temirgaliev
%A Sh. K. Abikenova
%A A. Zh. Zhubanysheva
%A G. E. Taugynbaeva
%T Discretization of solutions to a~wave equation, numerical differentiation, and function reconstruction for a~computer (computing) diameter
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 86-93
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_8_a8/
%G ru
%F IVM_2013_8_a8
N. Temirgaliev; Sh. K. Abikenova; A. Zh. Zhubanysheva; G. E. Taugynbaeva. Discretization of solutions to a~wave equation, numerical differentiation, and function reconstruction for a~computer (computing) diameter. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 86-93. http://geodesic.mathdoc.fr/item/IVM_2013_8_a8/

[1] Kolmogorov A. N., “Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse”, Ann. Math. (2), 37 (1936), 107–110 | DOI | MR | Zbl

[2] Temirgaliev N., “Kompyuternyi (vychislitelnyi) poperechnik. Algebraicheskaya teoriya chisel i garmonicheskii analiz v zadachakh vosstanovleniya (metod kvazi-Monte Karlo). Teoriya vlozhenii i priblizhenii. Ryady Fure”, Vestn. Evraziisk. nats. un-ta im. L. N. Gumileva, 2010, Spets. vypusk, posvyaschennyi nauchnym dostizheniyam matematikov Evraziiskogo natsionalnogo un-ta im. L. N. Gumileva, 1–194

[3] Temirgaliev N., Nepreryvnaya i diskretnaya matematika v organicheskom edinstve v kontekste napravlenii issledovanii, Elektronnoe izdanie, In-t teoreticheskoi matem. i nauchn. vychisl., Astana, 2012, 256 pp.

[4] Magaril-Ilyaev G. G., Osipenko K. Yu., “Optimalnoe vosstanovlenie funktsii i ikh proizvodnykh po koeffitsientam Fure, zadannym s pogreshnostyu”, Matem. sb., 193:3 (2002), 79–100 | DOI | MR | Zbl

[5] Marchuk A. G., Osipenko K. Yu., “Nailuchshee priblizhenie funktsii, zadannykh s pogreshnostyu v konechnom chisle tochek”, Matem. zametki, 17:3 (1975), 359–368 | MR | Zbl

[6] Plaskota L., Noisy information and computational complexity, Cambridge University Press, 1996 | MR | Zbl

[7] Abikenova Sh., Temirgaliev N., “O tochnom poryadke informativnoi moschnosti vsekh vozmozhnykh lineinykh funktsionalov pri diskretizatsii reshenii volnovogo uravneniya”, Differents. uravneniya, 46:8 (2010), 1201–1204 | MR | Zbl

[8] Lokutsievskii O. V., Gavrikov M. B., Nachala chislennogo analiza, TOO “Yanus”, M., 1995 | MR

[9] Babenko K. I., Osnovy chislennogo analiza, Nauka, M., 1986 | MR

[10] Ryabenkii V. S., Vvedenie v vychislitelnuyu matematiku, Fizmatlit, M., 1994 | MR