CV  Google Scholar   ResearchGate

            Denis A. Silantyev

 

Contact

Office: 1311 WWH (Warren Weaver Hall)

Email:  silantyev {at} cims {dot} nyu {dot} edu

Mailing Address:    Denis A. Silantyev

Courant Institute of Mathematical Sciences
New York University
251 Mercer Street
New York, N.Y. 10012-1185

I am currently a Postdoctoral Associate at Courant Institute of Mathematical Sciences, New York University.

I obtained my Ph.D. from the Department of Mathematics and Statistics of the University of New Mexico in 2017, supervised by Professor Pavel Lushnikov.

I’m currently working with Professor Russel E. Caflisch and collaborate with other Courant Institute faculty and researchers as well as faculty from other universities.

 

 

 

 

 

Short Bio

2017-current      Postdoctoral Associate at Courant Institute of Mathematical Sciences, New York University          

2011-2017          PhD in Applied Mathematics, University of New Mexico (Adviser: Pavel Lushnikov)

2010-2011          MS in Applied Mathematics, University of New Mexico

2007-2009          MS in IT-Consulting, Moscow Institute of Physics and Technology

2003-2007          BS in Applied Mathematics and Physics , Moscow Institute of Physics and Technology

Research Interests

·         Numerical methods including spectral methods, adaptive and nonuniform grids,

·         Multi-precision computation ( Multiprecision FFT benchmarks ), Monte Carlo and PIC methods,

·         Scientific computing, high-performance computing (HPC)

·         Nonlinear wave dynamics, instabilities and collapses in optics, plasma and hydrodynamics

·         Plasma kinetics and rarefied gas dynamics,

·         Laser-plasma interaction, laser fusion

·         Free surface hydrodynamics

·         Pattern formation in nonlinear optics, thermodynamics and biology

·         Multi-agent systems (crowd dynamics modeling, traffic modeling, cells dynamics modeling)

 

Teaching

Courant Institute of Mathematical Sciences, New York University:

Spring 2020:        MATH-UA.0009 (Algebra & Calculus)

Spring 2019:        MATH-UA.0123 (Calculus III)

Spring 2018:        MATH-UA.0123 (Calculus III)

 

University of New Mexico:

Spring 2014:        MATH 316 (Applied ODEs)

Fall 2011:             MATH 162 (Calculus I)

Spring 2010:        MATH 180 (Elements of Calculus I)

 

Publications in Refereed Journals

1.           Russ E. Caflisch, Denis A. Silantyev, Yunan Yang. Adjoint DSMC for nonlinear Boltzmann equation constrained optimization. Submitted to the Journal of Computational Physics (2020) (https://arxiv.org/abs/2009.01363)

2.           Pavel M. Lushnikov, Denis A. Silantyev,  Michael Siegel. Collapse vs. blow up and global existence in the generalized Constantin-Lax-Majda equation. Submitted to the Journal of Nonlinear Science (2020). (https://arxiv.org/abs/2010.01201)

3.           Denis A. Silantyev, Pavel M. Lushnikov, Harvey A. Rose. Langmuir wave filamentation in the kinetic regime. I. Transverse instability of Bernstein-Greene-Kruskal modes and multidimensional Vlasov simulations. Physics of Plasmas, v. 24, 042104 (2017); DOI: 10.1063/1.4979289 (https://arxiv.org/abs/1610.06137)

4.           Denis A. Silantyev, Pavel M. Lushnikov, Harvey A. Rose. Langmuir wave filamentation in the kinetic regime. II. Weak and Strong Pumping of Nonlinear Electron Plasma Waves as the Route to Filamentation. Physics of Plasmas, v. 24, 042105 (2017); DOI: 10.1063/1.4979290 (https://arxiv.org/abs/1610.10071)

5.           Pavel M. Lushnikov, Sergey A. Dyachenko, Denis A. Silantyev. New conformal mapping for adaptive resolving of the complex singularities of Stokes wave, Proc. Roy. Soc. A, v.  473, 2202, (2017)  DOI: 10.1098/rspa.2017.0198 (https://arxiv.org/abs/1703.06343) (http://stokeswave.org/)

6.           Pavel M. Lushnikov, Harvey A. Rose, Denis A. Silantyev, Natalia Vladimirova. Vlasov multi-dimensional model dispersion relation. Physics of Plasmas, v. 21, 072103 (2014). DOI: 10.1063/1.4886122 (https://arxiv.org/abs/1311.6438)

7.           Denis A. Silantyev. Diffusion influence in movement of the big mass of people. The proceedings of the 52nd scientific MIPT conference «Modern problems of fundamental and applied sciences», Part XI, Moscow, MIPT, 37-40 (2009) https://mipt.ru/upload/05b/11-FIBS-arpg5tlxag0.pdf

8.           Albert Yu. Silantyev, Denis A. Silantyev. Imitating Stochastic Modeling of Crowd Movement. Control Systems and Information Technology, vol.2(14), 84-86 (2004) http://www.sbook.ru/suit/contents/040200.pdf

Also published in the electronic scientific journal "Systems Engineering", vol. 2, (2004) http://systech.miem.edu.ru/2004/n2/Silantiev2.htm

 

Publications in preparation

1.           Denis A. Silantyev, Pavel M. Lushnikov. Elliptic conformal mapping for adaptive resolving of the complex singularities of Stokes wave

2.           Russ E. Caflisch, Lorenzo Pareschi, Denis A. Silantyev. Control variate Monte Carlo methods for homogeneous kinetic equations

3.           Denis A. Silantyev, Russ E. Caflisch. Particle simulation of Coulomb collisions: Comparing numerical methods of Takizuka & Abe vs. Nanbu vs. Bobylev & Nanbu

4.           Sergey A. Dyachenko, Vera M. Hur, Denis A. Silantyev. On the maximal angle on the free surface of the stokes wave with constant vorticity

5.           Denis A. Silantyev. Exact harmonic BGK solutions of Vlasov-Poisson system

 

Invited Talks

1.           Speeding up spectral numerical solutions of ODEs and PDEs with near-singular solutions via conformal maps. Courant Institute, NYU, NY, ‎May ‎09 ‎2019 (Modeling & Simulation seminar talk)

2.           A Monte Carlo method with negative particles for Coulomb collision. Direct Simulation Monte Carlo 2019 Conference, Santa Fe NM, Sep 22-25 2019 (invited talk)

3.           Powerful conformal maps for adaptive resolving of the complex singularities of Stokes wave. 11th IMACS International Conference on Nonlinear Waves, University of Georgia, Athens, GA, Apr 17-19 2019  (session organizer + invited talk)

4.           Powerful conformal maps for adaptive spectral resolving of the complex singularities of Stokes wave, Applied Math Days 2019, Rensselaer Polytechnic Institute, Apr 17-19 2019 (invited talk)

5.           Obtaining Stokes wave with high-precision using conformal maps and spectral methods on non-uniform grids, Analysis Physics Logic Seminar, Virginia Commonwealth University, Jan 25 2019 (invited talk)

6.           Nonlinear Langmuir wave filamentation in the kinetic regime, SIAM NWCS 2018 Conference (Nonlinear Waves and Coherent Structures), Orange County, 
CA,  June 11-14 2018 (session organizer + invited talk)

7.           Computing Stokes wave with high-precision. Courant Institute, NYU, NY, Feb 15 2018 (Modeling & Simulation seminar talk)

8.           Langmuir wave filamentation in the kinetic regime and multidimensional Vlasov simulations. Shared Knowledge Conference, University of New Mexico, NM, Arp 6 2017 (poster)

9.           Langmuir wave filamentation in the kinetic regime and multidimensional Vlasov simulations. 10th IMACS International Conference on Nonlinear Waves, University of Georgia, Athens, GA, 2017  (invited talk)

10.      Langmuir wave filamentation in the kinetic regime.  58th Annual Meeting of the APS Division of Plasma Physics, San Jose, CA, Oct 31 2016 (poster)

11.      Transverse Instability of Electron Plasma Waves. Direct 2+2D Vlasov simulations. Rensselaer Polytechnic Institute (RPI), Troy, NY, Aug 11 2016 (invited applied math colloquium talk)

12.      Transverse instability of electron plasma waves study via direct 2+2D Vlasov simulations. 2016 SIAM Conference on Nonlinear Waves and Coherent Structures, Drexel University in Philadelphia, PL, Aug 8-11 2016 (invited talk)

13.      The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL, July 1-5 2016 (invited talks)

a.            Obtaining Stokes wave with high-precision using conformal maps and spectral methods on non-uniform grids.

b.            Transverse instability of electron plasma waves study via direct 2+2D Vlasov simulations.

14.      Transverse Instability of Electron Plasma Waves. Direct 2+2D Vlasov simulations. University of New Mexico (UNM), Albuquerque, NM, Apr 18 2016 (applied math colloquium talk)

15.      Obtaining Stokes wave with high-precision using conformal maps and spectral methods on non-uniform grids. TexAMP 2015, University of Texas at Dallas, TX, Nov 6-8 2015 (poster)

16.      Removing the complex singularity from a Stokes wave. 9th IMACS International Conference on Nonlinear Waves, University of Georgia, Athens, GA, Apr 1-4 2015 (invited talk)

17.      Langmuir waves self-focusing and kinetic effects in plasma. AMS Sectional Meeting AMS Special Session on Nonlinear waves and singularities in water wave, optics and plasmas, University of New Mexico, NM, Apr 5-6 2014 (invited talk)

18.      Vlasov-Poisson model and its reduction for laser-plasma 2D simulation. 8th IMACS International Conference on Nonlinear Waves, University of Georgia, Athens, GA, Mar 24-27 2013 (invited talk)

19.      Vlasov-Poisson model and its reduction for laser-plasma 2D simulation. AMS Meeting #1089 Spring Western Sectional Meeting, University of Colorado Boulder, Boulder, CO, Apr 13-14 2013 (invited talk)

20.      Reduced Vlasov-Poisson model and its instabilities. AMS Sectional Meeting AMS Special Session, University of Arizona, Tucson, AZ, Oct 27-28 2012 (invited talk)

21.      Reduced Vlasov-Poisson model and its instabilities. 6th International Conference «SOLITONS, COLLAPSES AND TURBULENCE: Achievements, Developments and Perspectives», Novosibirsk, Russia, June 5-8 2012 (invited talk)

22.      Reduced Vlasov-Poisson model and its instabilities. XX Scientific Session of the RAS Council on Nonlinear Dynamics, Institute of Oceanology, Russia, Dec 26 2011 (poster)

23.      Reduced Vlasov-Poisson model and its instabilities. Workshop on Recent Progress of Waves Processes in Nature, University of Arizona, Tucson, AZ, Oct 7-9 2011 (invited talk)

24.      Crowded movement modeling. All-Russian youth scientific conference “Modern problems of fundamental and applied sciences”, Moscow Institute of Physics and Technology, Russia, 2009 (invited talk)

 

Last modified: 10/23/2020