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Solution of the two-dimensional inverse problem of quasistatic elastography with the help of the small parameter method. (English. Russian original) Zbl 07547997

Comput. Math. Math. Phys. 62, No. 5, 827-833 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 854-860 (2022).
MSC:  74-XX 35-XX
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Stable solution of a quadratic minimization problem with a nonuniformly perturbed operator by applying a regularized gradient method. (English. Russian original) Zbl 1484.65115

Comput. Math. Math. Phys. 62, No. 1, 10-19 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 1, 12-22 (2022).
MSC:  65J20
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Dirichlet boundary value problem for equations describing flows of a nonlinear viscoelastic fluid in a bounded domain. (Russian. English summary) Zbl 07501553

Ufim. Mat. Zh. 13, No. 3, 17-26 (2021); translation in Ufa Math. J. 13, No. 3, 17-26 (2021).
MSC:  35Q35 35A01
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Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential. (English. Russian original) Zbl 07492945

Dokl. Math. 104, No. 2, 277-281 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 67-73 (2021).
MSC:  81T55 70F16 81V55
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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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The regularized asymptotics of a solution of the Cauchy problem in the presence of a weak turning point of the limit operator. (English. Russian original) Zbl 07483851

Sb. Math. 212, No. 10, 1415-1435 (2021); translation from Mat. Sb. 212, No. 10, 76-95 (2021).
MSC:  34E20 34A12 34E05
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On the singular Volterra integral equation of the boundary value problem for heat conduction in a degenerating domain. (Russian. English summary) Zbl 1484.45003

MSC:  45D05 45E10
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On the optimal proximal parameter of an ADMM-like splitting method for separable convex programming. (English) Zbl 07468060

Tai, Xue-Cheng (ed.) et al., Mathematical methods in image processing and inverse problems. Selected papers based on the presentations at the international workshop on image processing and inverse problems, IPIP 2018, Beijing, China, April 21–24, 2018. Singapore: Springer. Springer Proc. Math. Stat. 360, 139-163 (2021).
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On a quadratic minimization problem with nonuniform perturbations in the criteria and constraints. (English. Russian original) Zbl 1481.65084

Proc. Steklov Inst. Math. 315, Suppl. 1, S27-S41 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 27, No. 2, 19-34 (2021).
MSC:  65J20
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