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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 ...
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 ...
Approximation of the inverse elliptic problem with mixed boundary value conditions
(Amer Inst Physics, 2014)
The inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space ...
Numerical Solution of the Nonlocal Reverse Parabolic Problem with Second Kind Boundary and Integral Conditions
(Amer Inst Physics, 2021)
In this work, we consider approximation of nonlocal reverse parabolic problem with second kind boundary and integral conditions. Stability and coercive stability estimates for solution of difference scheme are obtained. ...
On Well-posedness of Source Identification Elliptic Problem with Nonlocal Boundary Conditions
(Amer Inst Physics, 2021)
We study the well-posedness of the source identification problem for the two dimensional elliptic differential equation with nonlocal boundary conditions. Applying operator approaches, the exact estimates for the solution ...
Approximate solution of the two-dimensional singular integral equation
(Amer Inst Physics, 2014)
Approximate quadrature formulas for the numerical calculation of the two-dimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for the two-dimensional quasilinear singular integral ...
International Conference on Analysis and Applied Mathematics (ICAAM 2020)
(AIP Publishing, 2021-02-09)
The main objective of ICAAM is to promote and inspire new developments in mathematics and mathematical applications. For reaching our goal, we provide a forum for researchers and scientists who are working in the fields ...