Chapter 3. Basic techniques for constructing regularizing algorithms

Locally extra-optimal regularizing algorithms and a posteriori estimates of the accuracy for ill-posed problems with discontinuous solutions

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516010127 ◽

2016 ◽

Vol 56 (1) ◽

pp. 1-13 ◽

Cited By ~ 4

Author(s):

A. S. Leonov

Keyword(s):

A Posteriori ◽

Discontinuous Solutions ◽

Regularizing Algorithms ◽

Ill Posed ◽

A Posteriori Estimates

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Tikhonov's approach for constructing regularizing algorithms

Ill-Posed Problems in Natural Sciences ◽

10.1515/9783112313930-012 ◽

1992 ◽

pp. 71-83 ◽

Cited By ~ 1

Keyword(s):

Regularizing Algorithms

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Regularizing algorithms with optimal and extra-optimal quality

Numerical Analysis and Applications ◽

10.1134/s1995423916040030 ◽

2016 ◽

Vol 9 (4) ◽

pp. 288-298 ◽

Cited By ~ 1

Author(s):

A. S. Leonov

Keyword(s):

Regularizing Algorithms ◽

Optimal Quality

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Application of Regularizing Algorithms for Solving Ill-conditioned LAS Arising in Problems of Scatterer Form Reconsttuction

2019 XXIVth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) ◽

10.1109/diped.2019.8882610 ◽

2019 ◽

Author(s):

Mykhaylo I. Andriychuk

Keyword(s):

Regularizing Algorithms

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The solution of converse problems of subterranean hydromechanics by Tikhonov-regularizing algorithms

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(86)90118-7 ◽

1986 ◽

Vol 26 (3) ◽

pp. 90-92 ◽

Cited By ~ 2

Author(s):

M.Kh. Khairullin

Keyword(s):

Regularizing Algorithms

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Usinga prioriinformation about a solution of an ill-posed problem for constructing regularizing algorithms and their applications

Inverse Problems in Science and Engineering ◽

10.1080/17415970600573809 ◽

2007 ◽

Vol 15 (1) ◽

pp. 3-17 ◽

Cited By ~ 3

Author(s):

Anatoly Yagola ◽

Valery Titarenko

Keyword(s):

Regularizing Algorithms ◽

Ill Posed

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Regularizing algorithms based on the conjugate-gradient method

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(86)90174-6 ◽

1986 ◽

Vol 26 (1) ◽

pp. 8-13 ◽

Cited By ~ 5

Author(s):

S.F. Gilyazov

Keyword(s):

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Regularizing Algorithms

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Applied Nonlinear Ill-Posed Problems and the Variational Approach for Constructing of Regularizing Algorithms

Inverse Problems, Tomography, and Image Processing ◽

10.1007/978-1-4020-7975-7_13 ◽

1998 ◽

pp. 201-210

Author(s):

I. V. Kochikov ◽

G. M. Kuramshina ◽

A. G. Yagola

Keyword(s):

Variational Approach ◽

Regularizing Algorithms ◽

Ill Posed

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On the Construction of Regularizing Algorithms for the Correction of Improper Convex Programming Problems

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543818090213 ◽

2018 ◽

Vol 303 (S1) ◽

pp. 203-212

Author(s):

V. D. Skarin

Keyword(s):

Convex Programming ◽

Regularizing Algorithms

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Numerical simulation of inverse geochemistry problems by regularizing algorithms

Cogent Engineering ◽

10.1080/23311916.2021.2003522 ◽

2022 ◽

Vol 9 (1) ◽

Author(s):

Nurlan Temirbekov ◽

Yernar Imangaliyev ◽

Dossan Baigereyev ◽

Laura Temirbekova ◽

Maya Nurmangaliyeva

Keyword(s):

Numerical Simulation ◽

Regularizing Algorithms

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