On Estimating the Error of an Approximate Solution Caused by the Discretization of an Integral Equation of the First Kind

Author:

Tanana V. P.,Sidikova A. I.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference9 articles.

1. A. V. Goncharskii, A. S. Leonov, and A. G. Yagola, “Finite-difference approximation of linear incorrectly posed problems,” USSR Comp. Math. Math. Phys. 14 (1), 14–23 (1974).

2. V. P. Tanana, “Projection methods and finite-difference approximation of linear ill-posed problems,” Sib. Mat. Zh. 16 (6), 1301–1307 (1975).

3. V. K. Ivanov, V. V. Vasin, and V. P. Tanana, Theory of Linear Ill-Posed Problems and Its Applications (Nauka, Moscow, 1978; VSP, Utrecht, 2002).

4. V. V. Vasin, “Discrete convergence and finite-dimensional approximation of regularizing algorithms,” USSR Comp. Math. Math. Phys. 19 (1), 8–19 (1979).

5. V. P. Tanana and A. I. Sidikova, “An error estimate for a regularizing algorithm based on the generalized discrepancy principle in the solution of integral equations,” Zh. Vychisl. Met. Programmir. 16 (1), 1–9 (2015).

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