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 | 37 | 2009 |
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 | 12 | 2014 |
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 | 11 | 2016 |
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 | 8 | 2013 |
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 | 7 | 2011 |
Семейства разностных схем с приближенными прозрачными граничными условиями для обобщенного нестационарного уравнения Шрёдингера в неограниченных областях ИА Злотник Магистерская диссертация, МЭИ (ТУ), 2010 | 7 | 2010 |
Семейство разностных схем с приближенными прозрачными граничными условиями для нестационарного уравнения Шрёдингера в полуполосе ИА Злотник Радиоэлектроника, электротехника и энергетика, Москва, 332-333, 2010 | 7 | 2010 |
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 | 6 | 2007 |
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 | 4 | 2017 |
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 | 4 | 2012 |
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 | 2 | 2015 |
Семейство разностных схем с дискретными прозрачными граничными условиями для уравнения Шрёдингера на полуоси ИА Злотник Ломоносов, Москва, 32, 2009 | 2 | 2009 |