Literature cited
P. E. Sobolevskii and Khoang Van Lai, “Difference schemes of optimal type for approximating solutions of parabolic equations,” Ukr. Mat. Zh.,32, No. 5, 623–629 (1980).
Kh. A. Alibekov and P. E. Sobolevskii, “Stability of difference schemes of higher order for parabolic equations,” Dokl. Akad. Nauk SSSR,232, No. 4, 737–740 (1977).
P. E. Sobolevskii, “Theory of semigroups and stability of difference schemes,” Preprint, VTs Sib. Otd. Akad. Nauk SSSR (1975).
M. A. Krasnosel'skii et al., Integral Operators in Spaces of Summable Functions [in Russian], Nauka, Moscow (1966).
W. B. Saff and R. S. Varga, “On the zeros and poles of Pade approximants to ez,” Numer. Math.,25, No. 1, 1–14 (1975).
T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag (1966).
W. B. Graff, “The Pade table and its relation to certain algorithms of numerical analysis,” SIAM Rev.,14, No. 1, 1–62 (1972).
S. P. Norsett, “C-polynomials for rational approximation to the exponential function,” Numer. Math.,25, No. 1, 39–56 (1975).
N. I. Akhiezer, Theory of Approximation, Ungar (1956).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 33, No. 1, pp. 39–46, January–February, 1981.
Rights and permissions
About this article
Cite this article
Sobolevskii, P.E., Van Lai, K. Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Ukr Math J 33, 30–36 (1981). https://doi.org/10.1007/BF01085771
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085771