| Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability A Arnold, M Ehrhardt, I Sofronov | 238 | 2003 |
| Artificial boundary conditions of absolute transparency for two-and three-dimensional external time-dependent scattering problems IL Sofronov European Journal of Applied Mathematics 9 (6), 561-588, 1998 | 91 | 1998 |
| Conditions for complete transparency on a sphere for a three-dimensional wave equation IL Sofronov Doklady Akademii Nauk 326 (6), 953-957, 1992 | 86 | 1992 |
| Non-reflecting inflow and outflow in a wind tunnel for transonic time-accurate simulation IL Sofronov Journal of mathematical analysis and applications 221 (1), 92-115, 1998 | 69 | 1998 |
| Discrete transparent boundary conditions for the Schrödinger equation on circular domains A Arnold, M Ehrhardt, M Schulte, I Sofronov Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik 1344 (1344), 2008 | 52 | 2008 |
| Predictive model for bottomhole pressure based on machine learning P Spesivtsev, K Sinkov, I Sofronov, A Zimina, A Umnov, R Yarullin, ... Journal of Petroleum Science and Engineering 166, 825-841, 2018 | 48 | 2018 |
| Transparent boundary conditions for MHD simulations in stratified atmospheres A Dedner, D Kröner, IL Sofronov, M Wesenberg Journal of Computational Physics 171 (2), 448-478, 2001 | 36 | 2001 |
| Scanning for downhole corrosion IA Acuña, A Monsegue, TM Brill, H Graven, F Mulders, JL Le Calvez, ... Oilfield Review 22 (1), 42-50, 2010 | 34 | 2010 |
| High-accuracy finite-difference schemes for solving elastodynamic problems in curvilinear coordinates within multiblock approach L Dovgilovich, I Sofronov Applied Numerical Mathematics 93, 176-194, 2015 | 31 | 2015 |
| Approximation, stability and fast calculation of non-local boundary conditions for the Schrödinger equation A Arnold, M Ehrhardt, I Sofronov Commun. Math. Sci 1 (3), 501-556, 2003 | 24 | 2003 |
| Time-accurate inlet and outlet conditions for unsteady transonic channel flow J Ballmann, G Britten, I Sofronov AIAA journal 40 (9), 1745-1754, 2002 | 20 | 2002 |
| Numerical generation of transparent boundary conditions on the side surface of a vertical transverse isotropic layer IL Sofronov, NA Zaitsev Journal of computational and applied mathematics 234 (6), 1732-1738, 2010 | 19 | 2010 |
| Условия полной прозрачности на сфере для трехмерного волнового уравнения ИЛ Софронов Доклады Академии наук 326 (6), 953-957, 1992 | 19 | 1992 |
| Transparent boundary conditions for the elastic waves in anisotropic media IL Sofronov, NA Zaitsev Hyperbolic Problems: Theory, Numerics, Applications, 997-1004, 2008 | 18 | 2008 |
| Точные искусственные граничные условия для некоторых задач аэродинамики и дифракции ИЛ Софронов | 16 | 1999 |
| О применении прозрачных граничных условий в задачах аэроакустики ИЛ Софронов Математическое моделирование 19 (8), 105-112, 2007 | 14 | 2007 |
| Применение прозрачных граничных условий для решения двумерных задач упругости с азимутальной анизотропией НА Зайцев, ИЛ Софронов Математическое моделирование 19 (8), 49-54, 2007 | 14 | 2007 |
| Transparent Boundary Conditions for Unsteady Transonic Flow Problems in Wind Tunnel," IL Sofronov Universit at Stuttgart, Mathematisches Institut A, 95-21, 1995 | 12 | 1995 |
| О применении компактных схем для решения волнового уравнения ЛЕ Довгилович, ИЛ Софронов Препринты Института прикладной математики им. МВ Келдыша РАН, 84-27, 2008 | 11 | 2008 |
| Generation of 2D and 3D artificial boundary conditions transparent for waves outgoing to infinity IL Sofronov preprint, 96-09, 1996 | 11 | 1996 |
