Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Zlotnik, Il'ya Aleksandrovich
Speciality: 01.01.07 (Computing mathematics)
E-mail:
Keywords: time-dependent Schrödinger equation, unbounded domains, two-level finite-difference schemes, finite element method, approximate and discrete transparent boundary conditions, stability, numerical experiments.
UDC: 519.634, 519.633
MSC: 65M06, 65M12, 65M60

Subject:

Stability criterion for small perturbations for a quasi-gasdynamic system of equations, Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip.
   
Main publications:
  1. Zlotnik A.A., Zlotnik I.A., “Semeistvo raznostnykh skhem s prozrachnymi granichnymi usloviyami dlya nestatsionarnogo uravneniya Shredingera v polupolose”, Doklady RAN, 436:1 (2011), 19–25
  2. Zlotnik I.A., “Semeistvo raznostnykh skhem s priblizhennymi prozrachnymi granichnymi usloviyami dlya obobschennogo nestatsionarnogo uravneniya Shredingera v polupolose”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 51:3 (2011), 384–406
  3. Zlotnik I.A., “Kompyuternoe modelirovanie tunnelnogo effekta”, Vestnik MEI, 2010, № 6, 118–125
  4. Zlotnik I.A., “Ob ustoichivosti semeistva raznostnykh skhem s priblizhennymi prozrachnymi granichnymi usloviyami dlya nestatsionarnogo uravneniya Shredingera v polupolose”, Vestnik MEI, 2009, № 6, 127–144
  5. Ducomet B., Zlotnik A., Zlotnik I., “On a family of finite-difference schemes with discrete transparent boundary conditions for a generalized 1D Schrodinger equation”, Kinetic and Related Models, 2:1 (2009), 151–179

https://www.mathnet.ru/eng/person27198
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/789126

Publications in Math-Net.Ru Citations
2020
1. A. A. Zlotnik, I. A. Zlotnik, “Fast Fourier solvers for the tensor product high-order fem for a Poisson type equation”, Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020),  234–252  mathnet  elib; Comput. Math. Math. Phys., 60:2 (2020), 240–257  isi  scopus 1
2011
2. I. A. Zlotnik, “Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011),  384–406  mathnet  mathscinet; Comput. Math. Math. Phys., 51:3 (2011), 355–376  isi  scopus 10
2006
3. A. A. Zlotnik, I. A. Zlotnik, “Stability criterion for small perturbations for a quasi-gasdynamic system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:2 (2006),  262–269  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:2 (2006), 251–257  scopus 5

Organisations