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Monotone decomposition of the Cauchy problem for a hyperbolic equation based on transport equations. (English. Russian original) Zbl 07514281

Comput. Math. Math. Phys. 62, No. 3, 432-440 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 3, 442-450 (2022).
MSC:  35Q49 65-XX
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Variable piecewise interpolation solution of the transport equation. (English. Russian original) Zbl 07482926

J. Math. Sci., New York 260, No. 2, 230-240 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 166, 77-86 (2019).
MSC:  65M12 65M15 65D05
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Feedback maximum principle for a class of linear continuity equations inspired by optimal impulsive control. (English) Zbl 07495091

Pardalos, Panos (ed.) et al., Mathematical optimization theory and operations research. 20th international conference, MOTOR 2021, Irkutsk, Russia, July 5–10, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12755, 356-368 (2021).
MSC:  49N25 49N35 49K15
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Multigrid methods for image registration model based on optimal mass transport. (English) Zbl 07468063

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, 197-221 (2021).
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Comparison of dissipation and dispersion properties of compact difference schemes for the numerical solution of the advection equation. (English. Russian original) Zbl 07444573

Comput. Math. Math. Phys. 61, No. 11, 1711-1722 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1747-1758 (2021).
MSC:  65Mxx 76-XX
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