Persons: Vaskevich, Vladimir Leont'evich

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Vaskevich, Vladimir Leont'evich

Statistics Math-Net.Ru
Total publications:	23
Scientific articles:	22
Presentations:	1

Number of views:
This page:	2232
Abstract pages:	5054
Full texts:	1760
References:	641

Associate professor

Doctor of physico-mathematical sciences (2004)

Speciality:

01.01.07 (Computing mathematics)

E-mail:

Keywords:

Cubature formulas, Calculation with guaranted accuracy, Bases of function spaces, boundary value problems for partial differential equations, polyharmonic equation.

UDC:

517.5, 517.9, 517.518, 519.651, 519.644, 517.518.8, 517.518.855

Subject:

Approximate calculation of multydimensional integrals, Cubature formulas, Calculation with guaranted accuracy, Approximate solution to boundary value problems for partial differential equations, Problems of the approximation theory, Theory of function spaces.

https://www.mathnet.ru/eng/person28456

List of publications on Google Scholar

List of publications on ZentralBlatt

	Publications in Math-Net.Ru	Citations
	2023
1.	V. L. Vaskevich, I. M. Turgunov, “Optimal quadrature formulas for curvilinear integrals of the first kind”, Mat. Tr., 26:2 (2023), 44–61 ; Siberian Adv. Math., 34:1 (2024), 80–90
	2022
2.	V. L. Vaskevich, “A polyharmonic equation on the sphere in the three-dimensional space”, Mathematical notes of NEFU, 29:3 (2022), 22–31
	2021
3.	G. G. Lazareva, V. A. Popov, A. S. Arakcheev, A. V. Burdakov, I. V. Shwab, V. L. Vaskevich, A. G. Maksimova, N. E. Ivashin, I. P. Oksogoeva, “Mathematical simulation of the distribution of the electron beam current during pulsed heating of a metal target”, Sib. Zh. Ind. Mat., 24:2 (2021), 97–108 ; J. Appl. Industr. Math., 15:2 (2021), 292–301	4
	2020
4.	V. L. Vaskevich, “Problems on a semiaxis for an integro-differential equation with quadratic nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 601–611 ; Comput. Math. Math. Phys., 60:4 (2020), 590–600	1
	2018
5.	V. L. Vaskevich, A. I. Shcherbakov, “Convergence of the successive approximation method in the Cauchy problem for an integro-differential equation with quadratic nonlinearity”, Mat. Tr., 21:2 (2018), 136–149 ; Siberian Adv. Math., 29:2 (2019), 128–136	4
6.	V. L. Vaskevich, “The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions”, Sib. Èlektron. Mat. Izv., 15 (2018), 1080–1090
	2017
7.	V. L. Vaskevich, “A majorant for the multiplicities of eigenvalues of the Laplace operator with periodic conditions”, Mat. Tr., 20:1 (2017), 75–80 ; Siberian Adv. Math., 28:1 (2018), 74–77	2
8.	V. L. Vaskevich, “Spherical cubature formulas in Sobolev spaces”, Sibirsk. Mat. Zh., 58:3 (2017), 530–542 ; Siberian Math. J., 58:3 (2017), 408–418	2
	2015
9.	V. L. Vaskevich, “Convergence of cubature formulas of high trigonometric precision in multidimensional periodic Sobolev spaces”, Mat. Tr., 18:1 (2015), 3–14 ; Siberian Adv. Math., 25:4 (2015), 297–304	2
	2014
10.	V. L. Vaskevich, “The error and guaranteed accuracy of cubature formulas in multidimensional periodic Sobolev spaces”, Sibirsk. Mat. Zh., 55:5 (2014), 971–988 ; Siberian Math. J., 55:5 (2014), 792–806	4
	2012
11.	V. L. Vaskevich, “Errors, condition numbers, and guaranteed accuracy of higher-dimensional spherical cubatures”, Sibirsk. Mat. Zh., 53:6 (2012), 1245–1262 ; Siberian Math. J., 53:6 (2012), 996–1010	6
	2011
12.	V. L. Vaskevich, “Extremal functions of cubature formulas on a multidimensional sphere and spherical splines”, Mat. Tr., 14:2 (2011), 14–27 ; Siberian Adv. Math., 22:3 (2012), 217–226	3
	2008
13.	V. L. Vaskevich, “Embedding constants for periodic Sobolev spaces of fractional order”, Sibirsk. Mat. Zh., 49:5 (2008), 1019–1027 ; Siberian Math. J., 49:5 (2008), 806–813	11
	2003
14.	V. L. Vaskevich, “Invariant cubature formulas of Gregory type for a multidimensional cube”, Sib. Zh. Ind. Mat., 6:3 (2003), 34–66
	1999
15.	H. Ya. Bulgakov, V. L. Vaskevich, “Hierarchical bases in Hilbert spaces”, Sib. Zh. Ind. Mat., 2:2 (1999), 24–35	1
	1994
16.	V. L. Vaskevich, “Analogues of Hermitian cubature formulas for the Dirichlet integral of harmonic functions”, Trudy Inst. Mat. SO RAN, 24 (1994), 105–143
	1992
17.	V. L. Vaskevich, “Approximate computation of some quadratic forms of integral type”, Trudy Inst. Mat. SO RAN, 22 (1992), 92–123
18.	V. L. Vaskevich, “Numerical analysis of the energy zone structure of a crystal with a poly-atomic elementary cell”, Trudy Inst. Mat. SO RAN, 22 (1992), 55–91
	1990
19.	V. L. Vaskevich, A. V. Tyshchenko, “Approximate solution of the Dirichlet problem in domains of microchannel type”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 18 (1990), 111–122
	1989
20.	V. L. Vaskevich, “On the approximate solution of the Dirichlet problem in composite three-dimensional domains”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 15 (1989), 93–126
	1981
21.	V. L. Vaskevich, “On the convergence of Gregory's quadrature formulas”, Dokl. Akad. Nauk SSSR, 261:5 (1981), 1041–1043	2
22.	V. L. Vaskevich, “On the convergence of Euler–Maclaurin quadrature formulas on a class of smooth functions”, Dokl. Akad. Nauk SSSR, 260:5 (1981), 1040–1043	1

	2015
23.	V. N. Belykh, K. V. Brushlinskii, V. L. Vaskevich, S. P. Kiselev, A. N. Kraiko, A. G. Kulikovskii, V. I. Mali, V. V. Pukhnachov, E. I. Romensky, V. S. Ryaben'kii, “Sergei Konstantinovich Godunov has turned 85 years old”, Uspekhi Mat. Nauk, 70:3(423) (2015), 183–207 ; Russian Math. Surveys, 70:3 (2015), 561–590

Presentations in Math-Net.Ru

1.	Errors, condition numbers, and guaranteed accuracy of higher-dimensional spherical cubatures V. L. Vaskevich International Conference "Geometric Analysis and Control Theory" December 11, 2016 16:55

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