THE CONVERGENCE IN W22 OF THE DIFFERENCE SOLUTION OF THE DIRICHLET PROBLEM

被引:1
作者
BERIKELASHVILI, GK
机构
来源
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1990年 / 30卷 / 02期
关键词
D O I
10.1016/0041-5553(90)90082-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An estimate of the rate of convergence of the difference scheme considered in a net metric W2(2), matched with the smoothness of the required solution, is established when the solution of the initial problem belongs to Sobolev spaces.
引用
收藏
页码:89 / 92
页数:4
相关论文
共 50 条
[41]   A priori estimates of the solution for the Dirichlet problem [J].
Villacampa, Y ;
Balaguer, A .
IMA JOURNAL OF APPLIED MATHEMATICS, 2002, 67 (04) :371-382
[42]   A SOLUTION TO A SET OF SIMULTANEOUS DIFFERENCE EQUATIONS CORRESPONDING TO THE DIRICHLET PROBLEM BY MEANS OF A NORMAL SEQUENCE OF DIGITS [J].
POSTNIKOV, AG .
DOKLADY AKADEMII NAUK SSSR, 1958, 123 (03) :407-409
[43]   Solution of the Dirichlet problem for the Laplace equation [J].
Medková D. .
Applications of Mathematics, 1999, 44 (2) :143-168
[44]   Existence of periodic solution for a Dirichlet problem [J].
Sun, Yingfei ;
Zhou, Meike ;
Fan, Tianyou .
Journal of Beijing Institute of Technology (English Edition), 1999, 8 (04) :342-346
[45]   A NOTE ON GENERALIZED SOLUTION OF DIRICHLET PROBLEM [J].
FREIDLIN, MI .
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1965, 10 (01) :161-&
[46]   THE ESTIMATION OF THE RATE OF CONVERGENCE OF DIFFERENCE SOLUTIONS TO THE GENERALIZED SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE HELMHOLTZ-EQUATION IN A CONVEX POLYGON [J].
VOITSEKHOVSKII, SA ;
MAKAROV, VL ;
SAMARSKII, AA ;
SHABLII, TG .
DOKLADY AKADEMII NAUK SSSR, 1983, 273 (05) :1040-1044
[47]   Genome Sequence of Flavobacteriaceae Strain W22, Isolated from a Tree Hole Mosquito Habitat [J].
Chen, Shicheng ;
Walker, Edward D. .
MICROBIOLOGY RESOURCE ANNOUNCEMENTS, 2020, 9 (07)
[48]   ON ONE PROPERTY OF W22-SOLUTION OF CAUCHY-GOURSAT PROBLEM [J].
KAPUSTIN, NI .
DOKLADY AKADEMII NAUK SSSR, 1988, 301 (03) :536-539
[49]   PROBABALISTIC RATE OF CONVERGENCE TO DIRICHLET PROBLEM - PRELIMINARY REPORT [J].
FRASER, DF .
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (03) :531-&
[50]   Analysis of methylated genomic cytosines of maize inbred line W22 in response to drought stress [J].
Nehal Sallam ;
Mounir Moussa ;
Mohamed Yacout ;
Ayman El-Seedy .
Cereal Research Communications, 2020, 48 :459-465