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Ilya Zlotnik
Ilya Zlotnik
PhD in Applied Mathematics
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Название
Процитировано
Процитировано
Год
On a family of finite–difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation
B Ducomet, A Zlotnik, I Zlotnik
Kinetic and Related Models 2 (1), 151-179, 2009
372009
Finite element method with discrete transparent boundary conditions for the time-dependent 1D Schrödinger equation
A Zlotnik, I Zlotnik
Kinetic and Related Models 5 (3), 639-667, 2012
28*2012
Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip
IA Zlotnik
Computational Mathematics and Mathematical Physics 51 (3), 355-376, 2011
21*2011
The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
B Ducomet, A Zlotnik, I Zlotnik
ESAIM: Mathematical Modelling and Numerical Analysis 48 (6), 1681-1699, 2014
122014
Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis
A Zlotnik, I Zlotnik
Russian Journal of Numerical Analysis and Mathematical Modelling 31 (1), 51-64, 2016
112016
Stability criterion for small perturbations for a quasi-gasdynamic system of equations
AA Zlotnik, IA Zlotnik
Computational Mathematics and Mathematical Physics 46 (2), 251-257, 2006
11*2006
On stability of a family of finite-difference schemes with approximate transparent boundary conditions for the Schrödinger equation on the half-axis
AA Zlotnik, IA Zlotnik
Moscow Power Engin. Inst. Bulletin, 31-45, 2008
10*2008
Numerical methods for solving the generalized time-dependent Schrödinger equation in unbounded domains
IA Zlotnik
PhD thesis, Moscow Power Eng. Inst., 2013
82013
On stability of a family of finite-difference schemes with approximate transparent boundary conditions for the time-dependent Schrödinger equation on the half-strip
IA Zlotnik
Moscow Power Engin. Inst. Bulletin, 127-144, 2009
8*2009
Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip
AA Zlotnik, IA Zlotnik
Doklady Mathematics 83 (1), 12-18, 2011
72011
Семейства разностных схем с приближенными прозрачными граничными условиями для обобщенного нестационарного уравнения Шрёдингера в неограниченных областях
ИА Злотник
Магистерская диссертация, МЭИ (ТУ), 2010
72010
Семейство разностных схем с приближенными прозрачными граничными условиями для нестационарного уравнения Шрёдингера в полуполосе
ИА Злотник
Радиоэлектроника, электротехника и энергетика, Москва, 332-333, 2010
72010
The high order method with discrete TBCs for solving the Cauchy problem for the 1D Schrödinger equation
A Zlotnik, I Zlotnik
Computational Methods in Applied Mathematics 15 (2), 233-245, 2015
6*2015
Computer simulation of the tunnel effect
IA Zlotnik
Moscow Power Engin. Inst. Bulletin 6, 10-28, 2010
6*2010
Критерий устойчивости малых возмущений для квазигазодинамической системы уравнений
ИА Злотник
Ломоносов, Москва, 31-32, 2007
62007
A fast direct algorithm for implementing a high-order finite element method on rectangles as applied to boundary value problems for the Poisson equation
AA Zlotnik, IA Zlotnik
Doklady Mathematics 95, 129-135, 2017
42017
Finite element method with discrete transparent boundary conditions for the one-dimensional nonstationary Schrödinger equation
AA Zlotnik, IA Zlotnik
Doklady Mathematics 86 (3), 1-6, 2012
42012
Fast Fourier solvers for the tensor product high-order FEM for a Poisson type equation
AA Zlotnik, IA Zlotnik
Computational Mathematics and Mathematical Physics 60 (2), 240-257, 2020
3*2020
Splitting in potential finite-difference schemes with discrete transparent boundary conditions for the time-dependent Schrödinger equation
A Zlotnik, B Ducomet, I Zlotnik, A Romanova
Numerical Mathematics and Advanced Applications-ENUMATH 2013: Proceedings of …, 2015
22015
Семейство разностных схем с дискретными прозрачными граничными условиями для уравнения Шрёдингера на полуоси
ИА Злотник
Ломоносов, Москва, 32, 2009
22009
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