Evan North, Semyon Tsynkov, Eli Turkel, “Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities”, Applied Numerical Mathematics, 173 (2022), 51
Vianey Villamizar, Dane Grundvig, Otilio Rojas, Sebastian Acosta, “High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods”, Wave Motion, 95 (2020), 102529
M. Medvinsky, S. Tsynkov, E. Turkel, “Direct implementation of high order BGT artificial boundary conditions”, Journal of Computational Physics, 376 (2019), 98
Ludvigsson G. Steffen K.R. Sticko S. Wang S. Xia Q. Epshteyn Y. Kreiss G., “High-Order Numerical Methods For 2D Parabolic Problems in Single and Composite Domains”, J. Sci. Comput., 76:2 (2018), 812–847
S. Britt, S. Tsynkov, E. Turkel, “Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials”, Journal of Computational Physics, 354 (2018), 26
Albright J., Epshteyn Y., Medvinsky M., Xia Q., “High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces”, Appl. Numer. Math., 111 (2017), 64–91
Albright J. Epshteyn Y. Xia Q., “High-Order Accurate Methods Based on Difference Potentials For 2D Parabolic Interface Models”, Commun. Math. Sci., 15:4 (2017), 985–1019
S. Magura, S. Petropavlovsky, S. Tsynkov, E. Turkel, “High-order numerical solution of the Helmholtz equation for domains with reentrant corners”, Applied Numerical Mathematics, 118 (2017), 87
В. С. Рябенький, “Активная защита акустического поля желательных источников от внешнего шума в реальном времени”, Препринты ИПМ им. М. В. Келдыша, 2016, 027, 21 с.
M. Medvinsky, S. Tsynkov, E. Turkel, “Solving the Helmholtz equation for general smooth geometry using simple grids”, Wave Motion, 62 (2016), 75
С. К. Годунов, В. Т. Жуков, М. И. Лазарев, И. Л. Софронов, В. И. Турчанинов, А. С. Холодов, С. В. Цынков, Б. Н. Четверушкин, Е. Ю. Эпштейн, “Виктор Соломонович Рябенький и его школа (к девяностолетию со дня рождения)”, УМН, 70:6(426) (2015), 213–236 ; S. K. Godunov, V. T. Zhukov, M. I. Lazarev, I. L. Sofronov, V. I. Turchaninov, A. S. Kholodov, S. V. Tsynkov, B. N. Chetverushkin, Ye. Yu. Epshteyn, “Viktor Solomonovich Ryaben'kii and his school (on his 90th birthday)”, Russian Math. Surveys, 70:6 (2015), 1183–1210
Epshteyn Y., “Algorithms Composition Approach Based on Difference Potentials Method For Parabolic Problems”, Commun. Math. Sci., 12:4 (2014), 723–755
M. Medvinsky, S. Tsynkov, E. Turkel, “High Order Numerical Simulation of the Transmission and Scattering of Waves Using the Method of Difference Potentials”, Journal of Computational Physics, 2013
D. S. Britt, S. V. Tsynkov, E. Turkel, “A High-Order Numerical Method for the Helmholtz Equation with Nonstandard Boundary Conditions”, SIAM J. Sci. Comput, 35:5 (2013), A2255
M. Medvinsky, S. Tsynkov, E. Turkel, “The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes”, J Sci Comput, 2012
В. С. Рябенький, “Разностные потенциалы, аналогичные интегралам Коши”, УМН, 67:3(405) (2012), 147–172 ; V. S. Ryaben'kii, “Difference potentials analogous to Cauchy integrals”, Russian Math. Surveys, 67:3 (2012), 541–567
E. Kansa, U. Shumlak, S. Tsynkov, “Discrete Calderon’s Projections on Parallelepipeds and their Application to Computing Exterior Magnetic Fields for FRC Plasmas”, Journal of Computational Physics, 2012
Рябенький В.С., “Потенциалы для абстрактных разностных схем”, Препринты ИПМ им. М.В. Келдыша, 2012, № 10, 1–30 Potentials for abstract difference schemes
В. С. Рябенький, “Потенциалы для абстрактных разностных схем”, Препринты ИПМ им. М. В. Келдыша, 2012, 010, 30 с.
В. С. Рябенький, В. И. Турчанинов, Е. Ю. Эпштейн, “Схема композиции алгоритмов для задач в составных областях на базе метода разностных потенциалов”, Ж. вычисл. матем. и матем. физ., 46:10 (2006), 1853–1870 ; V. S. Ryaben'kii, V. I. Turchaninov, Ye. Yu. Epshteyn, “Algorithm composition scheme for problems in composite domains based on the difference potential method”, Comput. Math. Math. Phys., 46:10 (2006), 1768–1784