Vladimir Danilov
- Research Professor:HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE) / School of Applied Mathematics
- Vladimir Danilov has been at HSE University since 2012.
Education, Degrees and Academic Titles
- 1990Professor
- 1990
Doctor of Sciences* in Mathematical Modelling, Numerical Methods and Software Complexes
Lomonosov Moscow State University
Thesis Title: Mathematical Modelling of Heat and Mass Transfer - 1972
Degree
Moscow Institute of Electronic Engineering
* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Courses (2019/2020)
- Asymptotic Methods Non-linear Processes Research (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 4 year, 1, 2 module)Rus
- Contemporary Methods for Data Analysis: Analysis of Nonlinear and Multiphase Processes (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Research Seminar (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1-3 module)Rus
- Past Courses
Courses (2018/2019)
- Asymptotic Methods Non-linear Processes Research (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 4 year, 1, 2 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Contemporary Methods for Data Analysis: Analysis of Nonlinear and Multiphase Processes (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Research Seminar (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
Courses (2017/2018)
- Asymptotic Methods Non-linear Processes Research (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 4 year, 1, 2 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Contemporary Methods for Data Analysis: Analysis of Nonlinear and Multiphase Processes (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Research Seminar (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Research Seminar (4th year) (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 4 year, 1, 2 module)Rus
Courses (2016/2017)
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Contemporary Methods for Data Analysis: Analysis of Nonlinear and Multiphase Processes (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Differential Equations (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1, 2 module)Rus
Courses (2015/2016)
- Contemporary Methods for Data Analysis: Analysis of Nonlinear and Multiphase Processes (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Equations of Mathematical Physics (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 1, 2 module)Rus
- New Methods and Operations for Nonlinear Models (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 4 year, 2, 3 module)Rus
- Research Seminar (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Theoretical and Numerical Investigations of Mathematical Models for Heat and Mass Transfer Processes (Optional course (faculty); Faculty of Computer Science; 2, 3 module)Rus
Courses (2014/2015)
Computer Simulations (Specialist’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); "Применение математических методов к решению инженерных и экономических задач", "Применение математических методов к решению инженерных и экономических задач"; 5 year, 1 semester)Rus
- Differential Equations (Bachelor’s programme; Faculty of Computer Science; 2 year, 3, 4 module)Rus
- Mathematical Methods for Study of Nonlinear Systems (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Research Seminar "New Methods of Applied Mathematics" (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1-3 module)Rus
- Research Seminar "New Methods of Applied Mathematics" (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
Courses (2013/2014)
- Differential Geometry and Topology (Specialist’s programme; Faculty of Applied Mathematics and Cybernetics; spec. "Application of Mathematical Methods for Solving Engineering and Economic Problems"; 4 year, 1 semester)Rus
- Mathematical Methods for Study of Nonlinear Systems (Master’s programme; Faculty of Applied Mathematics and Cybernetics; 1 year, 3, 4 module)Rus
Nonlinear Models (Bachelor’s programme; Faculty of Applied Mathematics and Cybernetics; "Application of Mathematical Methods for Solving Engineering and Economic Problems", "Control System Software"; 3 year, 2 semester)Rus
Courses (2012/2013)
Differential Equations (Specialist’s programme; Faculty of Applied Mathematics and Cybernetics; "Application of Mathematical Methods for Solving Engineering and Economic Problems", "Application of Mathematical Methods for Solving Engineering and Economic Problems"; 5 year, 1 semester)Rus
Nonlinear Problems of Mathematical Physics (Specialist’s programme; Faculty of Applied Mathematics and Cybernetics; spec. "Application of Mathematical Methods for Solving Engineering and Economic Problems"; 4 year, 1 semester)Rus
- Nonlinear Problems of Mathematical Physics (Specialist’s programme; Faculty of Applied Mathematics and Cybernetics; spec. "Application of Mathematical Methods for Solving Engineering and Economic Problems"; 4 year, 2, 1 semester)Rus
Theory of Computation Experiments (Specialist’s programme; Faculty of Applied Mathematics and Cybernetics; "Application of Mathematical Methods for Solving Engineering and Economic Problems", "Application of Mathematical Methods for Solving Engineering and Economic Problems"; 4 year, 2 semester)Rus
Student Term / Thesis Papers
- Bachelor
V. Borisov «The Calculation of Potential in the Problem of Field Emission of Electrons From Small Conical Cathode». HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE), 2019
- Master
S. Andreev «Heat Distribution in a Multi-deck Flow along a Heated Plate with Small Periodic Irregularities». HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE), 2019
A. Kolomiytseva «Derivation of an Equation for the Correction to the Soliton KdV Velocity by the Weak Asymptotic Method». HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE), 2019
I. Borisov «Front Tracking Method from the Viewpoint of Nonlinear Waves Interaction». HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE), 2016
I. Turuntaev «Development of Tools for Automatization of Training Tasks Generation and Answers Processing in the Interactive Educational System». HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE), 2016
- Specialist
I. Turuntaev «Modernization of the Computational Center of the Remote Learning System». Faculty of Applied Mathematics and Cybernetics, 2014
Publications30
- Book Danilov V., Gaydukov R., Vadim Kretov. Mathematical Modeling of Emission in Small-Size Cathode. Springer, 2020. doi
- Article Danilov V. Averaging under Rayleigh-Taylor instability and density mushy region generation // European Journal of Mechanics - B/Fluids. 2019. Vol. 74. P. 152-158. doi
- Article Danilov V. G. Interaction of δ-Shock Waves in a System of Pressureless Gas Dynamics Equations // Russian Journal of Mathematical Physics. 2019. Vol. 26. No. 3. P. 306-319. doi
- Chapter Gaydukov R., Danilov V. Multideck structures of boundary layers in compressible flows, in: Proceedings of the International Conference DAYS on DIFFRACTION 2019. IEEE, 2019. P. 1-6. (in press)
- Chapter Гайдуков Р. К., Данилов В. Г. Многопалубные структуры в задачах обтекания поверхностей с малыми периодическими возмущениями // В кн.: XII Всероссийский съезд по фундаментальным проблемам теоретической и прикладной механики: сборник трудов в 4 томах. Т. 2: Механика жидкости и газа. Уфа : РИЦ БашГУ, 2019. doi С. 92-94.
- Chapter Gaydukov R., Danilov V. Equations for velocity oscillations in problems of a fluid flow along a plate with small periodic irregularities on the surface for large Reynolds numbers, in: Proceedings of the International Conference DAYS on DIFFRACTION 2018. IEEE, 2018. P. 118-123. doi
- Article V.G. Danilov. Stepwise Approximations and Limiting Generalized Solution to Hyperbolic Conservation Law // Russian Journal of Mathematical Physics. 2018. Vol. 25. No. 4. P. 434-458. doi
- Article Danilov V. G., Gaydukov R. K. Double-deck structure of the boundary layer in the problem of flow in an axially symmetric pipe with small irregularities on the wall for large Reynolds numbers // Russian Journal of Mathematical Physics. 2017. Vol. 24. No. 1. P. 1-18. doi
- Article Danilov V. G. Nonsmooth Nonoscillating Exponential-type Asymptotics for Linear Parabolic PDE // SIAM Journal on Mathematical Analysis. 2017. Vol. 49. No. 5. P. 3550-3572. doi
- Chapter Gaidukov R.K., Danilov V.G. Double-deck structures of boundary layers in flows, in: Abstracts: Russian-French Workshop “Mathematical Hydrodynamics”, August 22–27, 2016. Novosibirsk : , 2016. P. 20-22.
- Article Danilov V. G. Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter // Mathematische Nachrichten. 2016. Vol. 289. No. 7. P. 802-819. doi
- Chapter Danilov V., Turuntaev I. S. Interactive Educational System Based on Generative Approach, and the Problem of Answer Checking, in: Smart Education and e-Learning 2016 Issue 59. Switzerland : Springer, 2016. P. 527-537. doi
- Article Danilov V.G. Nonsmooth nonoscillating WKB–Maslov-type asymptotics for linear parabolic PDE // Russian Journal of Mathematical Physics. 2016. Vol. 23. No. 2. P. 185-199. doi
- Article Гайдуков Р. К., Данилов В. Г. Асимптотики решений задач обтекания несжимаемой жидкостью поверхностей c малыми неровностями при больших числах Рейнольдса // Наноструктуры. Математическая физика и моделирование. 2016. Т. 15. № 1. С. 5-102.
- Article Danilov V., Gaydukov R. Double-Deck Structure of the Boundary Layer in Problems of Flow around Localized Perturbations on a Plate // Mathematical notes. 2015. Vol. 98. No. 4. P. 561-571. doi
- Article Danilov V., Gaydukov R. Vortices in the Prandtl boundary layer induced by irregularities on a plate // Russian Journal of Mathematical Physics. 2015. Vol. 22. No. 2. P. 161-173. doi
- Article Danilov V., Gaydukov R., Vadim Kretov, Rudnev V. Modelling of Liquid Nuclei Generation for Field-Emission Silicon Nanocathode // IEEE Transactions on Electron Devices. 2014. Vol. 61. No. 12. P. 4232-4239.
- Chapter Данилов В. Г., Гайдуков Р. К. Вихревые течения в пограничных слоях вдоль поверхностей с малыми неровностями // В кн.: Волны и вихри в сложных средах: 5-ая Международная научная школа молодых ученых. М. : МАКС Пресс, 2014. С. 154-157.
- Book Данилов В. Г., Руднев В. Ю., Гайдуков Р. К., Кретов В. И. Математическое моделирование эмиссии из катодов малых размеров. М. : Научно-техническое издательство «Горячая линия – Телеком», 2014.
- Article Danilov V. Global-in-Time Asymptotic Solutions to Kolmogorov-Feller-Type Parabolic Pseudodifferential Equations with Small Parameter—Forward- and Backward-in-Time Motion // Abstract and Applied Analysis. 2013. P. 1-11. doi
- Chapter Danilov V., Gaydukov R. Oscillations in classical boundary layer for flow with double-deck boundary layers structure, in: Proceedings of International Conference DAYS on DIFFRACTION 2013.. , 2013. P. 28-31.
- Article Данилов В.Г., Руднев В.Ю., Гайдуков Р.К., Кретов В.И. Математическое описание режима "плавление-затвердевание" в автоэмиссионном катоде при учете эффекта Ноттингама // Наноструктуры. Математическая физика и моделирование. 2013. Т. 9. № 1. С. 39-84.
- Article Albeverio S., Danilov V. Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics // Mathematische Nachrichten. 2012. Vol. 285. No. 4. P. 426-439. doi
- Article Danilov V., Rudnev V. Numerical and analytical investigation of a free boundaries confluence for the pfase field system // Russian Journal of Mathematical Physics. 2012. Vol. 19. No. 2. P. 146-158.
- Article Rudnev V., Danilov V., Kretov V. I. Simulation of the heat transfer in the nanocathode // Open Journal of Applied Sciences. 2012. Vol. 2. P. 78-81.
- Article Данилов В. Г., Руднев В. Ю. Численное исследование локализованного возмущения температуры в модели фазового поля в случае слияния свободных границ // Журнал вычислительной математики и математической физики. 2012. Т. 52. № 11. С. 2080-2092.
- Article Danilov V., Albeverio S. Global in Time Solutions to Kolmogorov–Feller Pseudodifferential Equations with Small Parameter / Пер. с рус. // Russian Journal of Mathematical Physics. 2011. Vol. 18. No. 1. P. 10-25.
- Article Danilov V., Mitrovic D. Shock wave formation process for a multidimension scalar conservation law // Quarterly of Applied Mathematics. 2011. Vol. LXIX. No. 4. P. 613-634.
- Article Danilov V., Mitrovic D., Bojkovic V. Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process // Mathematical Methods in Applied Sciences. 2010. Vol. 33. P. 904-921.
- Chapter Danilov V. On the relation between the Maslov-Whitham method and the weak asymptotics method, in: Linear and non-linear theory of generalized functions and its applications / Ed. by A. Kaminski, M. Oberguggenberger, S. Pilipović. Vol. 88. Warsz. : PWN, 2010. P. 55-65.
