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On regularization of the solution of integral equations of the first kind using quadrature formulas. (English. Russian original) Zbl 07485532

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 361-365 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 593-599 (2021).
MSC:  65Rxx 65-XX 65Fxx
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Convergence rates for solutions of inhomogeneous ill-posed problems in Banach space with sufficiently smooth data. (English) Zbl 07393032

Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 235-253 (2021).
MSC:  47A52 47D06
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An introduction to the mathematical theory of inverse problems. 3rd updated edition. (English) Zbl 1456.35001

Applied Mathematical Sciences 120. Cham: Springer (ISBN 978-3-030-63342-4/hbk; 978-3-030-63345-5/pbk; 978-3-030-63343-1/ebook). xvii, 400 p. (2021).
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A survey of optimal control problems for PDEs. (English) Zbl 1446.65159

Dimov, Ivan (ed.) et al., Advances in high performance computing. Results of the international conference on high performance computing, Borovets, Bulgaria, September 2–6, 2019. Cham: Springer. Stud. Comput. Intell. 902, 376-390 (2021).
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New preconditioners for semi-linear PDE-constrained optimal control in annular geometries. (English) Zbl 07437817

Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 441-452 (2020).
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Inverse problems. Basics, theory and applications in geophysics. 2nd updated edition. (English) Zbl 1453.65002

Lecture Notes in Geosystems Mathematics and Computing. Cham: Springer (ISBN 978-3-030-59316-2/pbk; 978-3-030-59317-9/ebook). xiv, 273 p. (2020).
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On a regularization method for solutions of a certain linear ill-posed problem. (English. Russian original) Zbl 07253554

J. Math. Sci., New York 248, No. 4, 382-384 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 148, 10-12 (2018).
MSC:  47S99
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Boundary layer phenomenon for a first order descriptor equation with small parameter on the right-hand side. (English. Russian original) Zbl 1454.34088

J. Math. Sci., New York 250, No. 1, 175-181 (2020); translation from Probl. Mat. Anal. 104, 157-162 (2020).
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The higher covariant derivative regularization as a tool for revealing the structure of quantum corrections in supersymmetric gauge theories. (English. Russian original) Zbl 1445.81058

Proc. Steklov Inst. Math. 309, 284-298 (2020); translation from Tr. Mat. Inst. Steklova 309, 304-319 (2020).
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On the singular value decomposition of \(n\)-fold integration operators. (English) Zbl 07224831

Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 237-256 (2020).
MSC:  47A52 65L08
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Case studies and a pitfall for nonlinear variational regularization under conditional stability. (English) Zbl 1443.65080

Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 177-203 (2020).
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