• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site
Language Proficiency
English
Contacts
Phone:
27200
E-mail:
Address: 11 Pokrovsky Bulvar, Pokrovka Complex, room T417
Timetable
Download CV (PDF, 153 Kb)
SPIN-RSCI: 2159-8496
ORCID: 0000-0003-2440-2816
ResearcherID: I-5040-2015
Scopus AuthorID: 7101674545
Google Scholar
Supervisor
F. T. Aleskerov
Printable version

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!
To be used only for spelling or punctuation mistakes.

Alexander Zlotnik

  • Alexander Zlotnik has been at HSE University since 2010.

Education, Degrees and Academic Titles

  • 1997
    Professor
  • 1993

    Doctor of Sciences* in Computational Mathematics
    Computation Centre of the Siberian Branch of the Russian Academy of Sciences

  • 1992
    Associate Professor
  • 1980

    Candidate of Sciences* (PhD)

  • 1979

    Doctoral programme
    Lomonosov Moscow State University

  • 1976

    Degree in Applied Mathematics
    Lomonosov Moscow State University

* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
* 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.

Research interests

Numerical methods for solving parabolic, hyperbolic, elliptic differential equations, the Schrödinger equation, gas and hydrodynamics systems of equations: sharp and optimal error estimates, stability, the case of unbounded domains, effective implementation methods, optimal control, computer simulation.

Systems of quasilinear equations for viscous compressible gases and liquids flow: existence, uniqueness, regularity, stabilization of solutions, continuous dependence of solutions on data, homogenization, regularized systems and their properties.

Courses (2020/2021)

Courses (2019/2020)

Calculus (Bachelor’s programme; Graduate School of Business; 1 year, 1-4 module)Rus

Courses (2018/2019)

Calculus (Bachelor’s programme; Graduate School of Business; 1 year, 1-4 module)Rus

Courses (2017/2018)

Calculus (Bachelor’s programme; Graduate School of Business; 1 year, 1-4 module)Rus

Courses (2016/2017)

Calculus (Bachelor’s programme; Graduate School of Business; 1 year, 3, 4 module)Rus

Courses (2015/2016)

Publications

20209

20195

201810

20179

20165

20158

20144

20135

20126

20111

Article Zlotnik A., Gavrilin V. On Quasi-Gasdynamic System of Equations with General Equations of State and its Application // Mathematical Modelling and Analysis. 2011. Vol. 16. No. 4. P. 509-526. doi

20104

20094

Conferences

  • 2019

    International Conference on Differential and Difference Equations and Applications 2019 (Lisbon). Presentation: L^2-dissipativity of explicit regularized and linearized finite-difference schemes on a non-uniform spatial mesh for the 1d gas dynamics equations

  • International Conference on Differential Equations 2019 (Leiden). Presentation: On the strong continuity on data in weaker norms of global weak solutions to 1D viscous compressible Navier-Stokes equations and an error of their two-scale homogenization

  • 17th International Conference of Numerical Analysis and Applied Mathematics (Rodos). Presentation: On Aggregated Regularized Equations for Homogeneous Binary Gas Mixture Flows with Viscous Compressible Components
  • 2018

    23rd International Conference Mathematical Modelling and Analysis (Сигулда). Presentation: On numerical simulation of spiral-vortical structures in rotating gaseous disks

  • 2017
    22nd International Conference Mathematical Modelling and Analysis (Druskininkai). Presentation: Fast FFT-based solvers for higher order FEM on rectangular parallelepipeds for PDE
  • 22nd International Conference Mathematical Modelling and Analysis (Druskininkai). Presentation: Weak conservativeness criterions for QGD-schemes for 1D gas dynamics equations

  • International Conference on Differential & Difference Equations and Applications 2017 (Lisbon). Presentation: On a barotropic quasi-hydrodynamic system of equations for the two-component mixture with a diffuse interface

  • Sixth China-Russia Conference on Numerical Algebra and Applications (Москва). Presentation: On fast Fourier solvers for the tensor product high-order finite element method for a generalized Poisson equation
  • International Conference on Computer Simulation in Physics and beyond (Москва). Presentation: Numerical methods with discrete transparent boundary conditions for solving the time-dependent Schrödinger equation in unbounded domains
  • 2016

    Mathematical Modelling and Analysis 2016 (Тарту). Presentation: Properties of the Numerov-Crank-Nicolson Scheme on a Non-Uniform Mesh for the 1D Time-Dependent Schrödinger Equation

  • Computational Methods in Applied Mathematics - 7 (Jyvaskyla). Presentation: On conservative spatial discretizations for quasi-gasdynamic systems of equations

  • XXI Всероссийская конференция "Теоретические основы и конструирование численных алгоритмов для решения задач математической физики", посвященная памяти К.И. Бабенко (Дюрсо). Presentation: Новая пространственная дискретизация многомерной квазигазодинамической системы уравнений со свойством неубывания полной энтропии

  • 2015
    Numerical Methods for Optimal Control and Inverse Problems 2015 (Munich). Presentation: Error estimates for methods of solving the time-dependent Schrödinger equations in unbounded domains
  • SCICADE2015 (Потсдам). Presentation: On error estimates for some numerical methods with discrete TBC for the time-dependent Schrödinger equation

  • 2014
    Numerical Methods for Optimal Control and Inverse Problems (Munich). Presentation: Sharp error estimates for splitting finite element methods of solving second order hyperbolic equations
  • Sixth Conference on Finite Difference Methods: Theory and Applications (Lozenetz). Presentation: New Results on Numerical Methods with Discrete TBC for Solving the TD Schrödinger Equation in Unbounded Domains
  • Mathematical Theory of Gases and Fluids and Related Applications (Seoul). Presentation: On the Lipschitz continuity on data of weak solutions to 1D viscous compressible heat-conducting gas equations and its applications
  • International Congress of Mathematicians 2014 (Seoul). Presentation: Higher order numerical methods for solving the time-dependent Schrödinger equation in unbounded domains
  • XX Всероссийская конференция «Теоретические основы и конструирование численных алгоритмов и решения задач математической физики», посвященная памяти К.И. Бабенко (Дюрсо). Presentation: Пространственная дискретизация одномерной квазигазодинамической системы уравнений с общими уравнениями состояния и уравнение баланса энтропии
  • 6th International Conference on Computational Methods in Applied Mathematics (Strobl). Presentation: Error estimates for numerical methods with discrete transparent boundary conditions for the time-dependent Schrödinger equation in unbounded domains

  • Актуальные проблемы математической физики (Москва). Presentation: Методы с расщеплением по потенциалу и дискретными ПГУ для численного решения нестационарного уравнения Шрёдингера в неограниченном параллелепипеде
  • 2013
    Numerical Computations: Theory and Algorithms 2013 (Фалерна). Presentation: A New Space Discretization of the 1D Quasi-Gas Dynamic System of Equations and the Entropy Balance Equation
  • The Mathematics of Finite Elements and Applications 2013 (Лондон). Presentation: FEM with discrete transparent boundary conditions for the Cauchy problem for the Schrödinger equation on the whole axis
  • ENUMATH 2013 (лозанна). Presentation: The Crank-Nicolson scheme with splitting and discrete transparent boundary conditions for the Schrodinger equation on an infinite strip

  • SciCADE 2013 (Вальядолид). Presentation: Finite-difference schemes with splitting and discrete TBCs for the 2D Schrödinger equation in a strip
  • 2012
    17th International Conference on Mathematical Modelling and Analysis (Tallinn). Presentation: The space discretization of the 1d quasi-gas dynamic systems of equations and the entropy and energy balance equations
  • 5th Conference on Computational Methods in Applied Mathematics (Берлин). Presentation: The space discretization of the 1d quasi-gas dynamic systems of equations and the entropy and energy balance equations

Academic Supervision

for a degree of Candidate of Science
1

1. Nguyen Zha Bao. Questions of the qualitative theory of equations of one-dimensional motion of a viscous gas in the presence of free boundaries. The dissertation of the candidate of physical and mathematical sciences, specialty 01.01.02 - differential equations. Moscow, 1998.

2. Zaitseva Svetlana Borisovna. Sharp error estimates for locally one-dimensional and vector methods for solving the heat equation. The dissertation of the candidate of physical and mathematical sciences, specialty 01.01.07 - computational mathematics. Moscow, 1999.

3. Kireeva Olga Ilyinichna. Projection-grid methods for stationary and non-stationary equations of the 4th order with nonsmooth data. The dissertation of the candidate of physical and mathematical sciences, specialty 01.01.07 - computational mathematics. Moscow, 2002.

4. Gavrilin Vladimir Alekseevich. Conservative discretizations of one-dimensional quasi-gas and quasi-hydrodynamic systems of equations. The dissertation of the candidate of physical and mathematical sciences, specialty 01.01.07 - computational mathematics. Moscow, 2016.

Editorial board membership

  • 2008: Member of the Editorial Board, Mathematical Modeling and Analysis (Mathematical Modelling and Analysis).

  • 2002–2015: Member of the Editorial Board, Computational Methods in Applied Mathematics.

Grants

Participation in RFBR and RSF projects in 2009-2019.

19-11-00169 RSF “Development and application of parallel quasi-gas and quasi-hydrodynamic algorithms and technologies” for 2019-2021 (main performer).

19-11-00104 RSF “New approaches to the development of algorithms for solving problems of continuum mechanics for ultra-high-performance computing systems” for 2019-2021.

19-01-00262 “Quasi-gasdynamic algorithms on modern computing platforms and modeling of actual problems of gas and hydrodynamics” for 2019-2021.

18-01-00587 “Theoretical research and application of a quasi-gasdynamic system of equations for solving problems of gas and hydrodynamics” for 2018-2020.

16-01-00048 "Development and new applications of quasi-gasdynamic numerical methods" for 2016-2018 (head)

14-11-00549 RSF "Development of a quasi-hydrodynamic approach for mathematical modeling of multiphase flows using supercomputers" in 2016.

13-01-00703 “Development and improvement of quasi-gasdynamic methods and their applications” for 2013-2015 (head).

14-01-90009-Bel-a "Development and study of grid algorithms for efficient calculations of some evolutionary problems of mathematical physics, hydrodynamics and dynamics of traffic flows" for 2014-2015.

12-01-90008-Bel_a “Development, analysis and application of new effective difference methods for solving multidimensional filtration and convection-diffusion problems” for 2012-2013.

10-01-90005-Bel_a “Development and research of effective grid algorithms and mathematical modeling of some problems of hydro- and gasdynamics” for 2010-2011.

10-01-00136-a “Development and applications of quasi-gas and quasi-hydrodynamic systems of equations” for 2010-2012.

09-01-12166-ofi_m “Asymptotic methods in some problems of mechanics of viscous compressible media and heat transfer by radiation” for 2009-2010 (co-head).

Research and lecturing abroad

  • Ecole Normale Superieure Assia Djebar of Constantine, Algerie, October-November, 2017
  • Tianjin University of Finance and Economics, P.R. China, April-May, 2017
  • Technische Universität München, Germany, February 2014, March 2015
  • Centre de recherche scientifique du Commissariat à l'énergie atomique et aux énergies alternatives, Département de Physique Théorique et Appliquée, Ile-de-France, 2002-2007 and 2009-2012
  • Zhejiang University, Hangzhou, P.R. China, August 2008
  • Institute of Applied Physics and Computational Mathematics, Beijing, P.R. China, December 2001
  • Università di Torino, Facoltà di Matematica “Giuseppe Peano”, Torino, Italy, October 2001
  • Université Paris 7 Denis Didro, Paris, France, April 2001 
  • Institute of Mathematics, Czech Academy of Sciences, Prague, September 2000-January 2001 and July-August 2001
  • Université Paris 6 Pierre et Marie Curie, Paris, France, March 2000
  • Institut Mittag-Leffler of the Royal Swedish Academy of Sciences, Stockholm, May 1998

 

Membership in dissertation councils

Member of the Council for the review of dissertations for the scientific degrees
Candidate of Science and Doctor of Science in the specialties 01.01.02 "Differential Equations, Dynamical Systems and Optimal Control (Physics and Mathematics), 01.01.07" Computational Mathematics "(Physics and Mathematics) at National Research University "Moscow Power Engineering Institute"


Reviewer of papers for scientific journals:

Applicable Analysis, Applied Mathematics and Computation, Applied Numerical Mathematics, Boundary Value Problems, Computer Physics Communications, Computers and Fluids, Computers and Mathematics with Applications, Computational Methods in Applied Mathematics, Discrete and Continuous Dynamical Systems – A, Entropy, Journal of Computational and Applied Mathematics, Journal of Computational Physics, Journal of Differential Equations, Journal of Dynamical and Control Systems, Journal of Function Spaces, Journal of Mathematical Physics, Lithuanian Mathematical Journal, Mathematical Methods in the Applied Sciences, Mathematical Modelling and Analysis, Mathematics (Switzerland), Methods and Applications of Analysis, Nonlinearity, Numerical Algorithms, The Royal Society of Edinburgh: Proceedings A, Russian Journal on Numerical Analysis and Mathematical Modelling, SIAM Journal on Mathematical Analysis, Zeitschrift für angewandte Mathematik und Physik (ZAMP), Zeitschrift für Naturforschung A (A Journal of Physical Sciences)

and 

Differential Equations, Computational Mathematics and Mathematical Physics, Izvestiya: Mathematics, Russian Mathematics (Iz. VUZ), Mathematical Notes, Mathematical Models and Computer Simulation, Numerical analysis and Applications, The HSE Economic Journal

Timetable for today

Full timetable