Multicomponent vector decomposition schemes for the solution of multidimensional problems of mathematical physics.

NG Abrashina-Zhadaeva… - Differential …, 2006 - search.ebscohost.com
The article presents the use of multicomponent vector-additive decomposition for solving
mathematical physics Cauchy problems. Multicomponent decomposition schemes allow the …

[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 …

[引用][C] Asymptotic stability of the decomposition method for parabolic equations

VN Abrashin - Differential Equations, 2000 - Springer
Numerous papers have been dealing recently with various decomposition methods for
complicated stationary and nonstationary problems of mathematical physics [1-6]. This is the …

[引用][C] The convergence rate of economical iterative methods for stationary problems of mathematical physics

VN Abrashin, NG Zhadaeva - Differential Equations, 2000 - Springer
Nonstationary equations or related finite-difference schemes are used for solving stationary
problems of mathematical physics. By [1, p. 550; 2, p. 320], a solution of a stationary problem …

[引用][C] An iterative domain decomposition method for problems of mathematical physics. III

AA Egorov - Differential Equations, 2000 - Springer
The present paper completes the cycle of papers [1, 2] dealing with the construction and
investigation of efficient iterative domain decomposition methods for elliptic boundary value …