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Found 3,736 Documents (Results 1–100)

Differential equations in Banach spaces with an noninvertible operator in the principal part and nonclassical initial conditions. (English. Russian original) Zbl 07831286

J. Math. Sci., New York 279, No. 5, 691-700 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 183, 120-129 (2020).
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Estimate of the spectrum of discrete sequences in ill-posed problems based on the study of the numerical rank of the trajectory matrix. (English. Russian original) Zbl 07831282

J. Math. Sci., New York 279, No. 5, 644-654 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 183, 73-84 (2020).
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A novel identification scheme of an inverse source problem based on Hilbert reproducing kernels. (English) Zbl 07822837

Laghrib, Amine (ed.) et al., New trends of mathematical inverse problems and applications. ICNTAM 2022. Selected papers based on the presentations at the international conference, Béni Mellal, Morocco, May 19–21, 2022. Cham: Springer. Springer Proc. Math. Stat. 428, 157-175 (2023).
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Simple adaptive estimation of quadratic functionals in nonparametric IV models. (English) Zbl 07822577

Belomestny, Denis (ed.) et al., Foundations of modern statistics. Festschrift in honor of Vladimir Spokoiny. Selected contributions based on the presentations at the international conference, Berlin, Germany, November 6–8, 2019 and Moscow, Russia, November 30, 2019. Cham: Springer. Springer Proc. Math. Stat. 425, 459-482 (2023).
MSC:  62-XX
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Minimum principle for the Tikhonov functional in the problem of stable continuation of a potential field from a surface. (English. Russian original) Zbl 1522.35119

Differ. Equ. 59, No. 6, 769-780 (2023); translation from Differ. Uravn. 59, No. 6, 752-762 (2023).
MSC:  35B50 35J05 35R25
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Nonlocal boundary-value problem for an equation with differentiation operator \(z \partial/\partial z\) in a refined Sobolev scale. (English. Ukrainian original) Zbl 1521.35076

J. Math. Sci., New York 273, No. 6, 885-900 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 5-16 (2020).
MSC:  35C10 35A01 35R25
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Quasi-solution method and global minimization of the residual functional in conditionally well-posed inverse problems. (English. Russian original) Zbl 1514.65118

Comput. Math. Math. Phys. 63, No. 5, 881-896 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 5, 840-855 (2023).
MSC:  65M32 49N45 47A52
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Improved accuracy estimation of the Tikhonov method for ill-posed optimization problems in Hilbert space. (English. Russian original) Zbl 07691037

Comput. Math. Math. Phys. 63, No. 4, 519-527 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 4, 548-556 (2023).
MSC:  65-XX 90-XX
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Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method. (English) Zbl 1527.78016

Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 145-167 (2023).
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Quasi-reversibility method and neural network machine learning for forecasting of stock option prices. (English) Zbl 1518.91312

Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 129-144 (2023).
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