2024
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Glazyrina O.V, Dautov R.Z, Gubaidullina D.A., Accuracy of an Implicit Scheme for the Finite Element Method with a Penalty for a Nonlocal Parabolic Obstacle Problem//Russian Mathematics. - 2024. - Vol.68, Is.2. - P.1-17.
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Dautov R.Z., Theorems on Direct and Inverse Approximation by Algebraic Polynomials and Piecewise Polynomials in the Spaces and//Russian Mathematics. - 2024. - Vol.68, Is.1. - P.11-29.
2023
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Dautov R.Z., A Penalty Method for American Multi-Asset Option Problems//Lobachevskii Journal of Mathematics. - 2023. - Vol.44, Is.1. - P.269-281.
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Dautov R.Z, Salimzyanova G.R., A Conservative Fully Discrete Finite Element Scheme for the Nonlinear Klein?Gordon Equation//Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. - 2023. - Vol.165, Is.3. - P.190-207.
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Dautov R.Z, Ivanova M.V., A Conservative Finite Element Scheme for the Kirchhoff Equation//Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. - 2023. - Vol.165, Is.2. - P.115-131.
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Glazyrina O.V, Dautov R.Z, Myagkova E.Y., Implicit Finite Element Scheme with a Penalty for a Nonlocal Parabolic Obstacle Problem of Kirchhoff Type//Lobachevskii Journal of Mathematics. - 2023. - Vol.44, Is.7. - P.2675-2688.
2022
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Dautov R.Z, Karchevskii E.M., Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers//Computational Methods in Applied Mathematics. - 2021. - Vol., Is.. - Art. №20200162.
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Dautov R.Z., On Approximation of Functions on the Half-Line by Laguerre Polynomials and Functions//Lobachevskii Journal of Mathematics. - 2022. - Vol.43, Is.4. - P.935-947.
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Dautov R.Z, Karchevskii E.M., Accurate Simulation of Guided Waves in Optical Fibers Using Finite Element Method Combined with Exact Non-reflecting Boundary Condition//Lecture Notes in Computational Science and Engineering. - 2022. - Vol.141, Is.. - P.69-79.
- Dautov RZ, On Best Error Bounds for Approximations by Algebraic Polynomials and Splines in the Spaces W-p (m)(a, b) and B-p,q(s)(a, b)//LOBACHEVSKII JOURNAL OF MATHEMATICS. - 2022. - Vol.43, Is.11. - P.3091-3103.
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Dautov R.Z., On Exact Penalty Operators and Penalization Methods for Elliptic Unilateral Problems with Piecewise Smooth Obstacles//Lecture Notes in Computational Science and Engineering. - 2022. - Vol.141, Is.. - P.57-68.
- Dautov R.Z., Direct and Inverse Theorems of the Approximation of Functions by Algebraic Polynomials and Splines in the Norms of the Sobolev Space//Russian Mathematics. - 2022. - Vol.66, Is.6. - P.65-72.
- Dautov RZ, An Efficient Numerical Method for Determining Trapped Modes in Acoustic Waveguides//UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI. - 2022. - Vol.164, Is.1. - P.68-84.
2021
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Dautov R.Z., Penalty Methods for One-Sided Parabolic Problems with Piecewise Smooth Obstacles//Lobachevskii Journal of Mathematics. - 2021. - Vol.42, Is.7. - P.1643-1651.
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Цифровой образовательный ресурс «Численные методы (для текущей промежуточной аттестации)«
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Цифровой образовательный ресурс «Основы численных методов линейной алгебры (для текущей и промежуточной аттестации)«
2020
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Dautov R.Z, Lapin A.V, Zhang S., Error estimates for lagrange-galerkin approximation of American options valuation//SIAM Journal on Numerical Analysis. - 2020. - Vol.58, Is.1. - P.48-65.
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Gilmutdinov A.K, Dautov R.Z, Ushakov P.A., Finite Distributed Element Method for Fractal Element Analysis Based on Multilayer Resistive-Capacitive Media//Journal of Communications Technology and Electronics. - 2020. - Vol.65, Is.12. - P.1414-1421.
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Dautov R.Z, Lapin A.V., Error Estimates for Backward Euler Finite Element Approximations of American Call Option Valuation//Lobachevskii Journal of Mathematics. - 2020. - Vol.41, Is.4. - P.475-490.
2019
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Arbuzov A.A., Dautov R.Z., Karchevskii E.M., Karchevskii M.M.,
Chistyakov D.V. On numerical methods for time-dependent eddy current problems for the Maxwell equations in inhomogeneous media. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2018, vol. 160, no. 3, pp. 477–494.
(In Russian)
+
F_Arbuzov_Dautov_Karchevskii2_Chistyakov_UchZAp_2018.pdf - Dautov Rafail Z., Lapin Alexander V., Sharp error estimate for implicit finite element scheme for American put option//RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING. - 2019. - Vol.34, Is.2. - P.85-94.
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Dautov R.Z, Lapin A.V., Three new weak formulations of the problem of American call options valuation//Journal of Physics: Conference Series. - 2019. - Vol.1158, Is.2. - Art. № 022033.
- Даутов Р.З. Error estimates for Lagrange--Galerkin approximation of American options valuation/ Даутов Р.З., Лапин А.В. // International Conference «Advanced Mathematics, Computations and Applications 2019« (AMCA-2019), 01.07.2019-05.07.2019, Novosibirsk, Russia, p. 6
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Dautov R.Z, Lapin A.V., Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data//Lobachevskii Journal of Mathematics. - 2019. - Vol.40, Is.4. - P.425-438.
- Dautov R.Z, Lapin A.V. Three new weak formulations of the problem of American call options valuation//Journal of Physics: Conference Series. - 2019. - Vol.1158, Is.2. - Art. № 022033.doi:10.1088/1742-6596/1158/2/022033
- Даутов Р.З. Точная оценка погрешности неявной схемы конечных элементов для задачи об американских опционах/ Даутов Р.З., Лапин А.В. // International Conference «Modern Problems of Computational Mathematics and Mathematical Physics«, 18.06-20.06.2019, Moscow State University, Russia, p. 89-90
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Arbuzov A. A., Dautov R. Z., Karchevskii E. M., On Numerical Methods for Time-Dependent Eddy Current Problems for the Maxwell Equations in Inhomogeneous Media//UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI. - 2018. - Vol.160, Is.3. - P.477-494.
2018
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Dautov R.Z, Lapin A.V., Investigation of Lagrange?Galerkin Method for an Obstacle Parabolic Problem//Lobachevskii Journal of Mathematics. - 2018. - Vol.39, Is.7. - P.884-892.
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Arbuzov A.A, Dautov R.Z, Karchevskii E.M, On numerical methods for time-dependent eddy current problems for the maxwell equations in inhomogeneous media««//Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. - 2018. - Vol.160, Is.3. - P.477-494.
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А. А. Арбузов, Р. З. Даутов, Е. М. Карчевский, М. М. Карчевский, Д. В. Чистяков О численных методах решения квазистационарных уравнений Максвелла в неоднородных средах// Учен. зап. Казан. ун-та. Сер. Физ.-матем. науки,
- 2018, том 160, книга 3, - C. 477–494
F_Arbuzov_Dautov_Karchevskii2_Chistyakov_UchZAp_2018.pdf -
Dautov R.Z, Karchevskii E.M., Numerical Modeling of Optical Fibers Using the Finite Element Method and an Exact Non-reflecting Boundary Condition//Computational Methods in Applied Mathematics. - 2018. - Vol.18, Is.4. - P.581-601.
2016
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Dautov R.Z, Fedotov E.M., Hybridized schemes of the discontinuous Galerkin method for stationary convection-diffusion problems//Differential Equations. - 2016. - Vol.52, Is.7. - P.906-925.
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Dautov R.Z, Karchevskii E.M., Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.5. - P.610-625.
- R.Z. Dautov and E.M. Fedotov HDG schemes for stationary convection-diffusion problems//IOP: Conference Series: 11th International Conference Mesh Methods for Boundary-Value Problems and Applications, IOP Publishing, Dirac House, 7 pages
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Dautov R.Z, Karchevskii E.M., Numerical modeling of photonic crystal fibers using the finite element method//IOP Conference Series: Materials Science and Engineering. - 2016. - Vol.158, Is.1. - Art. № 012029.
- R.Z. Dautov and E.M. Fedotov HDG schemes for nonstationary convection-diffusion problems//IOP: Conference Series: 11th International Conference Mesh Methods for Boundary-Value Problems and Applications, IOP Publishing, Dirac House, 8 pages
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Dautov R.Z, Fedotov E.M., Discontinuous Galerkin schemes for nonstationary convection-diffusion problems//IOP Conference Series: Materials Science and Engineering. - 2016. - Vol.158, Is.1. - Art. № 012027.
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Dautov R.Z, Fedotov E.M., HDG schemes for stationary convection-diffusion problems//IOP Conference Series: Materials Science and Engineering. - 2016. - Vol.158, Is.1. - Art. № 012028.
- R.Z. Dautov and E.M. Karchevskii Numerical modeling of photonic crystal fibers using the finite element method// IOP: Conference Series: 11th International Conference Mesh Methods for Boundary-Value Problems and Applications, IOP Publishing, Dirac House, 6 pages
2015
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Р.З. Даутов, М.Р. Тимербаев ТОЧНЫЕ ОЦЕНКИ АППРОКСИМАЦИИ ПОЛИНОМАМИ В ВЕСОВЫХ ПРОСТРАНСТВАХ СОБОЛЕВА
\\ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ, 2015, том 51, № 7, с. 890–898
TOChNYE.OCENKI.APPROKSIMACII.POLINOMAMI_DU_2015.pdf -
Dautov R.Z, Timerbaev M.R., Sharp estimates for the polynomial approximation in weighted Sobolev spaces//Differential Equations. - 2015. - Vol.51, Is.7. - P.886-894.
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Dautov R, Lapin A., Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state//Lobachevskii Journal of Mathematics. - 2015. - Vol.36, Is.1. - P.65-75.
2014
2013
- Р.З. Даутов, А.И. Михеева ТОЧНОСТЬ ДИСКРЕТНЫХ СХЕМ ДЛЯ ОДНОГО КЛАССА АБСТРАКТНЫХ ЭВОЛЮЦИОННЫХ НЕРАВЕНСТВ// ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ, 2013, том 49, № 7, с. 853–862
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Dautov R.Z, Fedotov E.M., Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations//Computational Mathematics and Mathematical Physics. - 2013. - Vol.53, Is.11. - P.1614-1625.
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Dautov R.Z, Mikheeva A.I., Accuracy of discrete schemes for a class of abstract evolution inequalities//Differential Equations. - 2013. - Vol.49, Is.7. - P.824-834.
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Dautov R.Z., A sharp error estimate of the best approximation by algebraic polynomials in the weighted space L2(-1, 1)//Russian Mathematics. - 2013. - Vol.57, Is.5. - P.51-53.
2011
2010
2009
- Dautov R., Karchevskiy E. Exact Nonlocal Boundary Conditions in the Theory of Dielectric Waveguides\\Proc. Int. Conf.: Progress in Electromagnetic Research. Cambridge. The Electromagnetic Academy. – 2009. – pp. 1100–1105
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Dautov R.Z., Karchevskiy E.M. Exact Nonlocal Boundary Conditions in the Theory of Dielectric Waveguides // PIERS 2009. Progress in Electromagnetics Research Symposium, Moscow, August 18-21, 2009: Proceedings. - Cambridge: The Electromagnetics Academy, 2009. - p. 1127-1131. (ISSN 1559-9450, ISBN: 978-1-934142-10-3)
2008
2006
2005
- Nieber J.L., Dautov R.Z., Egorov A.G., Sheshukov A.Y. Dynamic capillary pressure mechanism for instability in gravity-driven flows; review and extension to very dry conditions // Transport in Porous Media. 2005. V. 58, No 1-2. P. 147-172
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Nieber J.L, Dautov R.Z, Egorov A.G, Dynamic capillary pressure mechanism for instability in gravity-driven flows; review and extension to very dry conditions«//Transport in Porous Media. - 2005. - Vol.58, Is.1-2. - P. 147-172.
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R.Z. Dautov, E.M. Karchevskii, and G.P. Kornilov A Numerical Method for Finding Dispersion Curves and Guided Waves of Optical Waveguides // Computational Mathematics and Mathematical Physics, Vol. 45, No. 12, 2005, pp. 2119-2134.
Dautov_Karchevskii_Kornilov_CMMP05.pdf
2004
2003
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Egorov A.G, Dautov R.Z, Nieber J.L, Stability analysis of gravity-driven infiltrating flow//Water Resources Research. - 2003. - Vol.39, Is.9. - P. 1211-1214.
- Dautov R., Kadyrov R., Laitinen E., Lapin A., Pieska J.,Toivonen V. On 3D dynamic control of secondary cooling in continuous casting process//Lobachevskii Journal of Mathematics Vol. 13, 2003, 3 -13
2002
2001
2000
1999
| Work address: | 35 Kremlevskaya Str., Kazan, Building №14 (unit # 2) |
| Office number: | 1209 |
| Phone: | 2315376 |
| E-mail: | Rafail.Dautov@gmail.com |
| Google scholar: | http://scholar.google.ru/citations?hl=ru&user=OUi9XAwAAAAJ&view_op=list_works |
| ORCID ID: | http://orcid.org/0000-0002-9382-541X |
| Researcher Id: | http://www.researcherid.com/rid/O-5185-2015 |
| Scopus (Author ID): | http://www.scopus.com/authid/detail.url?authorId=55889334900 |
| eLIBRARY: | http://elibrary.ru/author_items.asp?authorid=11820 |
