[PDF][PDF] On a class of additive iterative methods

VN Abrashin, AA Egorov… - … EQUATIONS C/C OF …, 2001 - academia.edu
In the solution of complicated problems of mathematical physics by numerical methods,
great attention is paid to the construction and investigation of efficient algorithms [1–4] …

On a new class of splitting type iterative methods

R Čiegis - Future Generation Computer Systems, 2004 - Elsevier
This paper deals with the stability analysis of a new class of iterative methods for elliptic
problems. These schemes are based on a general splitting method, which decomposes a …

[HTML][HTML] ADDITIVE ITERATIVE METHODS AND CONVERGENCE RATE ESTIMATES

VN Abrashin, AA Egorov… - Труды Института …, 2002 - Google 学术搜索
ADDITIVE ITERATIVE METHODS AND CONVERGENCE RATE ESTIMATES Page 13 Page
1 Труды Института математики НАН Беларуси. Минск. 2002. Том 11. С. 13-21 УДК …

[PDF][PDF] On the Numerical Error of Vector-Additive Iterative Methods.

VN Abrashin, VM Volkov, NG Zhadaeva - Differential Equations, 2005 - researchgate.net
As a rule, theoretical estimates of the convergence rate of iterative methods do not take into
account the influence of the numerical error on the possibility of obtaining an approximate …

[引用][C] On the convergence rate of additive iterative methods

VN Abrashin, AA Egorov, NG Zhadaeva - Differential Equations, 2001 - Springer
In the present paper, we suggest additive-averaged iterative methods for stationary
problems of mathematical physics on the basis of the many-component alternating direction …

[引用][C] Economical additive finite-difference schemes for miltidimensional nonlinear nonstationary problems

VN Abrashin, NG Zhadaeva - Differential Equations, 2002 - Springer
The multicomponent decomposition method of full approximation, which is free of a number
of shortcomings typical of the method of total (weak) approximation [7, 14], was suggested in …