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

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
• National Research University "Moscow Power Engineering Institute"