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Found 501 Documents (Results 1–100)

A posteriori error control of approximate solutions to boundary value problems found by neural networks. (English. Russian original) Zbl 07712753

J. Math. Sci., New York 273, No. 4, 492-510 (2023); translation from Zap. Nauchn. Semin. POMI 499, 77-104 (2021).
MSC:  65Nxx 35Jxx 35Qxx
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Identity for deviations from the exact solution of the problem \( \Lambda^\ast\mathcal{A}\Lambda u + \ell = 0\) and its implications. (English. Russian original) Zbl 1493.65228

Comput. Math. Math. Phys. 61, No. 12, 1943-1965 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 1986-2009 (2021).
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Almost complete transmission of waves through perforated cross-walls in a waveguide with Dirichlet boundary condition. (English. Russian original) Zbl 1462.35378

Sib. Math. J. 62, No. 2, 272-291 (2021); translation from Sib. Mat. Zh. 62, No. 2, 339-361 (2021).
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Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions. (English. Russian original) Zbl 1454.35182

Comput. Math. Math. Phys. 60, No. 11, 1823-1838 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1881-1897 (2020).
MSC:  35J86 31B30
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A note on a posteriori error bounds for numerical solutions of elliptic equations with a piecewise constant reaction coefficient having large jumps. (English. Russian original) Zbl 1453.65411

Comput. Math. Math. Phys. 60, No. 11, 1754-1760 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1815-1822 (2020).
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Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm. (English. Russian original) Zbl 1450.35017

Comput. Math. Math. Phys. 60, No. 5, 749-765 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767-783 (2020).
MSC:  35A35 65M15 35J25
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A method for approximate computation of waveguide scattering matrices. (English. Russian original) Zbl 1450.78007

Russ. Math. Surv. 75, No. 3, 509-568 (2020); translation from Usp. Mat. Nauk 75, No. 3, 123-182 (2020).
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