Literature cited
L. Bers, “On mildly nonlinear partial difference equations of elliptic type,” J. Res. Nat. Bur. Standards,51, No. 5, 229–236 (1953).
V. E. Shamanskii, Methods of Numerical Solution of Boundary Value Problems on a Computer [in Russian], Chap. 1, Izd. AN UkrSSR, Kiev (1963).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1962).
I. S. Berezin and N. P. Zhidkov, Computing Methods [in Russian], Vol. 2, Fizmatgiz, Moscow (1959).
M. P. Sapagovas, “On an estimate of the norm of a certain matrix,” Litovsk. Matem. Sb.,5, No. 4, 653–654 (1965).
I. D. Maergoiz, “On error estimates in the numerical solution of boundary value problems for certain equations of elliptic type by the method of grids,” Zh. Vychisl. Matem. i Matem. Fiz.,5, No. 2, 357–360 (1965).
A. A. Samarskii and V. B. Andreev, “On a certain difference scheme of higher order accuracy for an equation of elliptic type with several space variables,” Zh. Vychisl. Matem. i Matem. Fiz.,3, No. 6, 1006–1013 (1963).
V. B. Andreev, “On the uniform convergence of certain difference schemes,” Zh. Vychisl. Matem. i Matem. Fiz.,6, No. 2, 238–250 (1966).
T. S. Motskin and W. Wasov, “On the approximation of linear elliptic differential equations by difference equations with positive coefficients,” J. Math. Phys.,31, No. 4, 253–259 (1953).
Author information
Authors and Affiliations
Additional information
Translated from Litovskii Matematicheskii Sbornik, Vol. 13, No. 1, pp. 189–198, January–March, 1973.
Rights and permissions
About this article
Cite this article
Sapagovas, M.P. An estimate of the difference Green's function for some elliptic equations. Lith Math J 13, 133–140 (1973). https://doi.org/10.1007/BF01540084
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01540084