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A third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions
(Amer Inst Physics, 2016)
Approximation of Dirichlet type overdetermined multidimensional elliptic problem with Dirichlet-Neumann boundary conditions are discussed. A third order of accuracy difference scheme for its approximate solution is proposed. ...
A Third Order of Accuracy Difference Scheme for Bitsadze-Samarskii Type Elliptic Overdetermined Multi-Point Problem
(Amer Inst Physics, 2018)
In this study, a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point elliptic overdetermined problem is studied. For solution of constructed difference problem stability, almost coercive ...
Inverse Neumann problem for an equation of elliptic type
(Amer Inst Physics, 2014)
Inverse problem for an elliptic differential equation with Neumann conditions is considered. Stability and coercive stability estimates for the solution of inverse problem with the overdetermination are obtained. The first ...
On the problem of determining the parameter of an elliptic equation in a Banach space
(Inst Mathematics & Informatics, 2014)
The boundary value problem of determining the parameter of an elliptic equation -u ''(t) + Au(t) = f (t) + p (0 <= t <= T), u(0) = phi, u(T) = psi, u(lambda) = xi, 0 < lambda < T, with a positive operator A in an arbitrary ...
On the absolute stable difference scheme for the space-wise dependent source identification problem for elliptic-telegraph equation
(Wiley, 2021)
The present paper is devoted to study the first order of accuracy absolute stable difference scheme for the approximate solution of the space identification problem for the elliptic-telegraph equation in Hilbert spaces ...
Stability Estimates for Solution of Neumann-Type Overdetermined Elliptic Problem
(Taylor & Francis Inc, 2017)
This paper addresses estimation of the solution of inverse problem for the elliptic type equation with second kind boundary conditions and Neumann-type overdetermination at the interior point. We prove various estimates ...
Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
(Taylor & Francis Inc, 2020)
We study a source identification problem for a parabolic equation with multipoint nonlocal boundary condition. Stability estimates for the solution of abstract source identification problem are established. In application, ...
Note on small singular values of sequences of matrices
(Amer Inst Physics, 2014)
In this paper, some sequences of matrices for matrix pencils are considered. Properties of small singular values of these matrices are investigated. Estimates for singular values are obtained. The result of computer ...
Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem
(Amer Inst Physics, 2015)
In the present paper, inverse elliptic problem with Neumann type overdetermination is discussed. A fourth order of accuracy difference scheme for the solution of this identification problem is presented. Stability, almost ...
Finite Difference Approximations of First Order Derivatives of Complex-valued Functions
(Amer Inst Physics, 2018)
In this study, we generalize the well-known finite difference method to compute derivatives of a real-valued function to approximate complex derivatives w(z) and w((z) over bar) for complex-valued function w. Exploring ...