Semyon Tsynkov

Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2024). Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials. JOURNAL OF COMPUTATIONAL PHYSICS, 498. https://doi.org/10.1016/j.jcp.2023.112705

Gilman, M., & Tsynkov, S. (2024). Modeling the Earth's Ionosphere by a Phase Screen for the Analysis of Transionospheric SAR Imaging. IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 62. https://doi.org/10.1109/TGRS.2023.3335146

Gilman, M., & Tsynkov, S. V. (2023). Transionospheric Autofocus for Synthetic Aperture Radar. SIAM JOURNAL ON IMAGING SCIENCES, 16(4), 2144–2174. https://doi.org/10.1137/22M153570X

Gilman, M., & Tsynkov, S. (2023). Transionospheric Autofocus for Synthetic Aperture Radar. 2023 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS, ICEAA, pp. 24–24. https://doi.org/10.1109/ICEAA57318.2023.10297676

Gilman, M., & Tsynkov, S. (2023). Vertical autofocus for the phase screen in a turbulent ionosphere. INVERSE PROBLEMS, 39(4). https://doi.org/10.1088/1361-6420/acb8d6

Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2022). 3D time-dependent scattering about complex shapes using high order difference potentials. JOURNAL OF COMPUTATIONAL PHYSICS, 471. https://doi.org/10.1016/j.jcp.2022.111632

Kahana, A., Smith, F., Turkel, E., & Tsynkov, S. (2022). A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer. JOURNAL OF COMPUTATIONAL PHYSICS, 460. https://doi.org/10.1016/j.jcp.2022.111161

North, E., Tsynkov, S., & Turkel, E. (2022, November 20). High-order accurate numerical simulation of monochromatic waves in photonic crystal ring resonators with the help of a non-iterative domain decomposition. JOURNAL OF COMPUTATIONAL ELECTRONICS, Vol. 11. https://doi.org/10.1007/s10825-022-01973-y

North, E., Tsynkov, S., & Turkel, E. (2022). Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. APPLIED NUMERICAL MATHEMATICS, 173, 51–78. https://doi.org/10.1016/j.apnum.2021.10.024

Gilman, M., & Tsynkov, S. (2022). Polarimetric radar interferometry in the presence of differential Faraday rotation. INVERSE PROBLEMS, 38(4). https://doi.org/10.1088/1361-6420/ac5525

Gilman, M., & Tsynkov, S. (2021, July). A MATHEMATICAL PERSPECTIVE ON RADAR INTERFEROMETRY. INVERSE PROBLEMS AND IMAGING, Vol. 7. https://doi.org/10.3934/ipi.2021043

Lagergren, J., Flores, K., Gilman, M., & Tsynkov, S. (2021). Deep Learning Approach to the Detection of Scattering Delay in Radar Images. JOURNAL OF STATISTICAL THEORY AND PRACTICE, 15(1). https://doi.org/10.1007/s42519-020-00149-w

Gilman, M., & Tsynkov, S. (2021). Divergence Measures and Detection Performance for Dispersive Targets in SAR. RADIO SCIENCE, 56(1). https://doi.org/10.1029/2019RS007011

Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2021). Numerical Solution of 3D Unsteady Scattering Problems with Sub-linear Complexity. 2021 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM (ACES). https://doi.org/10.1109/ACES53325.2021.00138

Medvinsky, M., Tsynkov, S., & Turkel, E. (2021). Solution of three-dimensional multiple scattering problems by the method of difference potentials. WAVE MOTION, 107. https://doi.org/10.1016/j.wavemoti.2021.102822

Petropavlovsky, S. V., & Tsynkov, S. V. (2020). Method of Difference Potentials for Evolution Equations with Lacunas. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 60(4), 711–722. https://doi.org/10.1134/S0965542520040144

Gilman, M., & Tsynkov, S. (2020). STATISTICAL CHARACTERIZATION OF SCATTERING DELAY IN SYNTHETIC APERTURE RADAR IMAGING. INVERSE PROBLEMS AND IMAGING, 14(3), 511–533. https://doi.org/10.3934/ipi.2020024

Petropavlovsky, S. V., Tsynkov, S. V., & Turkel, E. (2019). A high order method of boundary operators for the 3D time-dependent wave equation. Book of Abstracts, The 14th International Conference on Mathematical
             and Numerical Aspects of Wave Propagation, WAVES 2019,
             Vienna University of Technology (TU Wien),
             Vienna, Austria, August 25-30, 2019, 363–365. Retrieved from https://stsynkov.math.ncsu.edu/publications/Unsteady_DPM_waves2019_v6.pdf

Petropavlovsky, S. V., Tsynkov, S. V., & Turkel, E. (2019). A method of boundary equations for unsteady hyperbolic problems in 3D. Mathematics and Its Applications, Book of Abstracts for the International 
             Conference in honor of the 90th birthday of Sergei K. Godunov, 
             Novosibirsk, Russia, August 4-10, 2019, 68. Retrieved from https://stsynkov.math.ncsu.edu/publications/a82e_godunov90.pdf

Smith, F., Tsynkov, S., & Turkel, E. (2019). Compact High Order Accurate Schemes for the Three Dimensional Wave Equation. Journal of Scientific Computing, 5, 1–29. https://doi.org/10.1007/s10915-019-00970-x

Gilman, M., & Tsynkov, S. (2019). Detection of delayed target response in SAR. Inverse Problems, 4, 085005 (38pp). https://doi.org/10.1088/1361-6420/ab1c80

Medvinsky, M., Tsynkov, S., & Turkel, E. (2019). Direct implementation of high order BGT artificial boundary conditions. Journal of Computational Physics, 376, 98–128. https://doi.org/10.1016/j.jcp.2018.09.040

Preface to the Special Issue in Memory of Professor Saul Abarbanel. (2019). Journal of Scientific Computing. https://doi.org/10.1007/s10915-019-01084-0

Gilman, M., & Tsynkov, S. (2019). Stochastic Models in Coordinate-Delay Synthetic Aperture Radar Imaging. Book of Abstracts, The 14th International Conference on Mathematical
             and Numerical Aspects of Wave Propagation, WAVES 2019,
             Vienna University of Technology (TU Wien), 
             Vienna, Austria, August 25-30, 2019, 330–331. Retrieved from https://stsynkov.math.ncsu.edu/publications/Dispersive_targets_Waves2019_v3_final.pdf

Britt, S., Turkel, E., & Tsynkov, S. (2018). A High Order Compact Time/Space Finite Difference Scheme for the Wave Equation with Variable Speed of Sound. Journal of Scientific Computing, 76(2), 777–811. https://doi.org/10.1007/s10915-017-0639-9

Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2018). A method of boundary equations for unsteady hyperbolic problems in 3D. Journal of Computational Physics, 365, 294–323. https://doi.org/10.1016/j.jcp.2018.03.039

Gilman, M., & Tsynkov, S. (2018). Cross-Channel Contamination of PolSAR Images due to Frequency Dependence of Faraday Rotation Angle. 2018 IEEE Conference on Antenna Measurements & Applications (CAMA), 1–4. https://doi.org/10.1109/CAMA.2018.8530603

Gilman, M., & Tsynkov, S. (2018). Differential Faraday Rotation and Polarimetric SAR. SIAM Journal on Applied Mathematics, 78(3), 1422–1449. https://doi.org/10.1137/17m114042x

Britt, S., Tsynkov, S., & Turkel, E. (2018). Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials. Journal of Computational Physics, 354, 26–42. https://doi.org/10.1016/j.jcp.2017.10.049

Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2017). An efficient numerical algorithm for the 3D wave equation in domains
             of complex shape. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 365–366. Retrieved from https://stsynkov.math.ncsu.edu/publications/wavesPetropTsynkov_v3.pdf

Osintcev, M., & Tsynkov, S. (2017). Computational complexity of artificial boundary conditions
             for Maxwell's equations in the FDTD method. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 275–276. Retrieved from https://stsynkov.math.ncsu.edu/publications/OsTsy_4.pdf

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). Conventional SAR imaging. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 19–57. https://doi.org/10.1007/978-3-319-52127-5_2

Britt, S., Tsynkov, S., & Turkel, E. (2017). High order accurate solution of the wave equation by
             compact finite differences and difference potentials. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 63–64. Retrieved from https://stsynkov.math.ncsu.edu/publications/waves2017_Steven_v4.pdf

Magura, S., Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2017). High order numerical solution of the Helmholtz
             equation for domains with reentrant corners. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 367–368. Retrieved from https://stsynkov.math.ncsu.edu/publications/waves2017_Steven_v4.pdf

Magura, S., Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2017). High-order numerical solution of the Helmholtz equation for domains with reentrant corners. Applied Numerical Mathematics, 118, 87–116. https://doi.org/10.1016/j.apnum.2017.02.013

Gilman, M., Smith, E., & Tsynkov, S. (2017). Inverse scattering off anisotropic targets. Transionospheric Synthetic Aperture Imaging, 373–415.

Gilman, M., & Tsynkov, S. (2017). Mathematical analysis of SAR imaging through a turbulent ionosphere (M. D. Todorov, Ed.). https://doi.org/10.1063/1.5007357

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). Modeling radar targets beyond the first Born approximation. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 311–371. https://doi.org/10.1007/978-3-319-52127-5_7

Petropavlovsky, S., & Tsynkov, S. (2017). Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics. Journal of Computational Physics, 336, 1–35. https://doi.org/10.1016/j.jcp.2017.01.068

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). SAR imaging through the Earth's ionosphere. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 59–161. https://doi.org/10.1007/978-3-319-52127-5_3

Gilman, M., & Tsynkov, S. (2017). The Doppler Effect for SAR. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 369–370. Retrieved from https://stsynkov.math.ncsu.edu/publications/waves_2017_Doppler_v3.pdf

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). The effect of ionospheric anisotropy. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 217–264. https://doi.org/10.1007/978-3-319-52127-5_5

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). The effect of ionospheric turbulence. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 163–215. https://doi.org/10.1007/978-3-319-52127-5_4

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). The start-stop approximation. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 265–309. https://doi.org/10.1007/978-3-319-52127-5_6

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). Transionospheric Synthetic Aperture Imaging. In Applied and Numerical Harmonic Analysis (pp. 1–1). https://doi.org/10.1007/978-3-319-52127-5

Gilman, M., Smith, E., & Tsynkov, S. (2017). Transionospheric Synthetic Aperture Imaging Discussion and outstanding questions. Transionospheric Synthetic Aperture Imaging, 417–431.

Gilman, M., Smith, E., & Tsynkov, S. (2017). Transionospheric synthetic aperture imaging Introduction. Transionospheric Synthetic Aperture Imaging, 1–17.

Fedoseyev, A., Kansa, E. J., Tsynkov, S., Petropavlovskiy, S., Osintcev, M., Shumlak, U., & Henshaw, W. D. (2016). A universal framework for non-deteriorating time-domain numerical algorithms in Maxwell’s electrodynamics (M. D. Todorov, Ed.). https://doi.org/10.1063/1.4964955

Britt, S., Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2016). Difference Potentials Methods for Hyperbolic Problems Using High Order Finite Difference Schemes. In Book of Abstracts, International Conference on Spectral and High Order Methods, ICOSAHOM 2016, 
             Rio De Janeiro, Brazil, June 2016. Retrieved from https://stsynkov.math.ncsu.edu/publications/icosahomAbstract2016.pdf

Medvinsky, M., Tsynkov, S., & Turkel, E. (2016). Solving the Helmholtz equation for general smooth geometry using simple grids. Wave Motion, 62, 75–97. https://doi.org/10.1016/j.wavemoti.2015.12.004

Gilman, M., & Tsynkov, S. (2015). A Mathematical Model for SAR Imaging beyond the First Born Approximation. SIAM Journal on Imaging Sciences, 8(1), 186–225. https://doi.org/10.1137/140973025

Britt, S., Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2015). Computation of singular solutions to the Helmholtz equation with high order accuracy. Applied Numerical Mathematics, 93, 215–241. https://doi.org/10.1016/j.apnum.2014.10.006

Epshteyn, Y., Sofronov, I., & Tsynkov, S. (2015). Professor V.S. Ryaben'kii. On the occasion of the 90-th birthday. Applied Numerical Mathematics, 93, 1–2. https://doi.org/10.1016/j.apnum.2015.02.001

Medvinsky, M., Turkel, E., & Tsynkov, S. (2015). Transmission and Scattering of Waves by General Shapes with High Order Accuracy
             Using the Difference Potentials Method. In Book of Abstracts, The 12th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2015,
             Karlsruhe, Germany,  July 20--24, 2015 (pp. 256–257). Retrieved from https://stsynkov.math.ncsu.edu/publications/Waves2015-book-of-abstracts.pdf

Godunov, S. K., Zhukov, V. T., Lazarev, M. I., Sofronov, I. L., Turchaninov, V. I., Kholodov, A. S., … Epshteyn, Y. Y. (2015). Viktor Solomonovich Ryaben'kii and his school (on his 90th birthday). Russian Mathematical Surveys, 70(6), 1183–1210. https://doi.org/10.1070/RM2015V070N06ABEH004981

Годунов, С. К., Godunov, S. K., Жуков, В. Т., Zhukov, V. T., Лазарев, М. И., Lazarev, M. I., … Epshteyn, Y. (2015). Виктор Соломонович Рябенький и его школа (к девяностолетию со дня рождения). Uspekhi Matematicheskikh Nauk, 70(6(426), 213–236. https://doi.org/10.4213/rm9676

Gilman, M., & Tsynkov, S. (2014). Detection of Material Dispersion Using SAR. Proceedings of the 10th European Conference on Synthetic Aperture Radar (EUSAR 2014), 1013–1016. Retrieved from https://stsynkov.math.ncsu.edu/publications/eusar-2014.pdf

Gilman, M., Smith, E., & Tsynkov, S. (2014). Single-polarization SAR imaging in the presence of Faraday rotation. Inverse Problems, 30(7), 075002. https://doi.org/10.1088/0266-5611/30/7/075002

Britt, D. S., Tsynkov, S. V., & Turkel, E. (2013). A High-Order Numerical Method for the Helmholtz Equation with Nonstandard Boundary Conditions. SIAM Journal on Scientific Computing, 35(5), A2255–A2292. https://doi.org/10.1137/120902689

Turkel, E., Gordon, D., Gordon, R., & Tsynkov, S. (2013). Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number. Journal of Computational Physics, 232(1), 272–287. https://doi.org/10.1016/j.jcp.2012.08.016

Kansa, E., Shumlak, U., & Tsynkov, S. (2013). Discrete Calderon’s projections on parallelepipeds and their application to computing exterior magnetic fields for FRC plasmas. Journal of Computational Physics, 234, 172–198. https://doi.org/10.1016/j.jcp.2012.09.033

Britt, S., Medvinsky, M., Turkel, E., & Tsynkov, S. (2013). High Order Numerical Simulation of the Transmission and 
             Scattering of Waves Using the Method of Difference Potentials. In Proceedings of the International Conference Difference Schemes and Applications 
             in honor of the 90-th Birthday of Prof. V. S. Ryaben'kii, Moscow, Russia, May 27--31, 2013 (pp. 33–34). Retrieved from https://stsynkov.math.ncsu.edu/publications/Tsynkov_abstract_for_Ryabenkii-90.pdf

Medvinsky, M., Tsynkov, S., & Turkel, E. (2013). High order numerical simulation of the transmission and scattering of waves using the method of difference potentials. Journal of Computational Physics, 243, 305–322. https://doi.org/10.1016/j.jcp.2013.03.014

Gilman, M., Smith, E., & Tsynkov, S. (2013). Reduction of ionospheric distortions for spaceborne synthetic aperture radar with the help of image registration. Inverse Problems, 29(5), 054005. https://doi.org/10.1088/0266-5611/29/5/054005

Gilman, M., Smith, E., & Tsynkov, S. (2012). A linearized inverse scattering problem for the polarized waves and anisotropic targets. Inverse Problems, 28(8), 085009. https://doi.org/10.1088/0266-5611/28/8/085009

Petropavlovsky, S. V., & Tsynkov, S. V. (2012). A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell’s equations. Journal of Computational Physics, 231(2), 558–585. https://doi.org/10.1016/j.jcp.2011.09.019

Medvinsky, M., Tsynkov, S., & Turkel, E. (2012). Erratum to: The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes. Journal of Scientific Computing, 53(2), 482–482. https://doi.org/10.1007/S10915-012-9638-Z

Medvinsky, M., Tsynkov, S., & Turkel, E. (2012). The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes. Journal of Scientific Computing, 53(1), 150–193. https://doi.org/10.1007/s10915-012-9602-y

Smith, E. M., & Tsynkov, S. V. (2011). Dual Carrier Probing for Spaceborne SAR Imaging. SIAM Journal on Imaging Sciences, 4(2), 501–542. https://doi.org/10.1137/10078325x

Turkel, E., & Tsynkov, S. (2011). Interfaces for the Helmholtz Equation with High Order Accuracy. In Proceedings of the 10th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2011,
             Vancouver, Canada, July 25--29, 2011 (pp. 659–662). Retrieved from https://stsynkov.math.ncsu.edu/publications/a66e_waves11.pdf

Britt, S., Tsynkov, S., & Turkel, E. (2011). Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes. Communications in Computational Physics, 9(3), 520–541. https://doi.org/10.4208/cicp.091209.080410s

Petropavlovsky, S. V., & Tsynkov, S. V. (2011). Quasi-Lacunae of Maxwell's Equations. SIAM Journal on Applied Mathematics, 71(4), 1109–1122. https://doi.org/10.1137/100798041

Britt, S., Tsynkov, S., & Turkel, E. (2010). A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates. Journal of Scientific Computing, 45(1-3), 26–47. https://doi.org/10.1007/s10915-010-9348-3

Baruch, G., Fibich, G., & Tsynkov, S. (2009). A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media. Journal of Computational Physics, 228(10), 3789–3815. https://doi.org/10.1016/j.jcp.2009.02.014

Ryaben’kii, V. S., Tsynkov, S. V., & Utyuzhnikov, S. V. (2009). Active control of sound with variable degree of cancellation. Applied Mathematics Letters, 22(12), 1846–1851. https://doi.org/10.1016/j.aml.2009.07.010

Ryaben’kii, V. S., Utyuzhnikov, S. V., & Tsynkov, S. V. (2009). Difference Problem of Noise Suppression and Other Problems of Active Control for Time-Harmonic Sound over Composite Regions. Doklady Rossiiskoi Akademii Nauk, Matematika (Transactions of the Russian Academy of Sciences, Mathematics), 425(4), 456–458.

Ryaben’kii, V. S., Utyuzhnikov, S. V., & Tsynkov, S. V. (2009). Difference problem of noise suppression and other problems of active control of single-frequency sound on a composite domain. Doklady Mathematics, 79(2), 240–242. https://doi.org/10.1134/S1064562409020240

Lim, H., Utyuzhnikov, S. V., Lam, Y. W., Turan, A., Avis, M. R., Ryaben'kii, V. S., & Tsynkov, S. V. (2009). Experimental Validation of the Active Noise Control Methodology Based on Difference Potentials. AIAA Journal, 47(4), 874–884. https://doi.org/10.2514/1.32496

Baruch, G., Fibich, G., Tsynkov, S., & Turkel, E. (2009). Fourth order schemes for time-harmonic wave equations with
              discontinuous coefficients. Commun. Comput. Phys., 5(2-4), 442–455. Retrieved from http://global-sci.org/intro/article_detail/cicp/7742.html

Baruch, G., Fibich, G., Tsynkov, S., & Turkel, E. (2009). Fourth order schemes for time-harmonic wave equations with discontinuous coefficients. Communications in Computational Physics, 5(2-4), 442–455.

Abarbanel, S., Qasimov, H., & Tsynkov, S. (2009). Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes. Journal of Scientific Computing, 41(1), 1–12. https://doi.org/10.1007/s10915-009-9282-4

Baruch, G., Fibich, G., & Tsynkov, S. V. (2009). Numerical Simulation of Focusing Nonlinear Waves in the Nonparaxial Regime. In H. Barucq, A.-S. Bonnet-Bendhia, G. Cohen, J. Diaz, A. Ezziana, & P. Joly (Eds.), Proceedings of the 9th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2009,
             Pau, France, June 15--19, 2009 (pp. 325–327). Retrieved from https://stsynkov.math.ncsu.edu/publications/a54e_waves09-abstract.pdf

Baruch, G., Fibich, G., & Tsynkov, S. V. (2009). Numerical solution of the nonlinear Helmholtz equation. In Mathematics in Applications, Proceedings of the conference in honor of the 80th birthday
             of Academician S. K. Godunov, Novosibirsk, Russia, July 20--24, 2009 (pp. 37–38). Retrieved from https://stsynkov.math.ncsu.edu/publications/a54e_godunov80.pdf

Tsynkov, S. V. (2009). On SAR Imaging through the Earth's Ionosphere. SIAM Journal on Imaging Sciences, 2(1), 140–182. https://doi.org/10.1137/080721509

Tsynkov, S. V. (2009). On SAR Imaging through the Earth's Ionosphere. In H. Barucq, A.-S. Bonnet-Bendhia, G. Cohen, J. Diaz, A. Ezziana, & P. Joly (Eds.), Proceedings of the 9th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2009,
             Pau, France, June 15--19, 2009 (pp. 312–313). Retrieved from https://stsynkov.math.ncsu.edu/publications/a52e_waves09-abstract.pdf

Tsynkov, S. V. (2009). On the Use of Start-Stop Approximation for Spaceborne SAR Imaging. SIAM Journal on Imaging Sciences, 2(2), 646–669. https://doi.org/10.1137/08074026x

Qasimov, H., & Tsynkov, S. (2008). Lacunae based stabilization of PMLs. Journal of Computational Physics, 227(15), 7322–7345. https://doi.org/10.1016/j.jcp.2008.04.018

Fibich, G., & Tsynkov, S. (2008). Numerical Solution of the Nonlinear Helmholtz Equation. In Effective Computational Methods for Wave Propagation (Vol. 5, pp. 37–62). https://doi.org/10.1201/9781420010879.ch2

Baruch, G., Fibich, G., & Tsynkov, S. (2008). Simulations of the nonlinear Helmholtz equation: arrest of beam collapse, nonparaxial solitons and counter-propagating beams. Optics Express, 16(17), 13323. https://doi.org/10.1364/OE.16.013323

Peterson, A. W., & Tsynkov, S. V. (2007). Active Control of Sound for Composite Regions. SIAM Journal on Applied Mathematics, 67(6), 1582–1609. https://doi.org/10.1137/060662368

Baruch, G., Fibich, G., & Tsynkov, S. V. (2007). High-Order Numerical Method for the Nonlinear Helmholtz Equation 
             with Material Discontinuities. In N. Biggs, A.-S. Bonnet-Bendhia, P. Chamberlain, S. Chandler-Wildea, G. Cohen, H. Haddar, … R. Potthast (Eds.), Proceedings of the 8th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2007,
             University of Reading, UK, July 23 -- 27, 2007 (pp. 455–457). Retrieved from https://stsynkov.math.ncsu.edu/publications/Waves_2007_proceedings.pdf

Baruch, G., Fibich, G., & Tsynkov, S. (2007). High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension. Journal of Computational Physics, 227(1), 820–850. https://doi.org/10.1016/j.jcp.2007.08.022

Baruch, G., Fibich, G., & Tsynkov, S. (2007). High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry. Journal of Computational and Applied Mathematics, 204(2), 477–492. https://doi.org/10.1016/j.cam.2006.01.048

Ryaben’kii, V. S., Tsynkov, S. V., & Utyuzhnikov, S. V. (2007). Inverse source problem and active shielding for composite domains. Applied Mathematics Letters, 20(5), 511–515. https://doi.org/10.1016/j.aml.2006.05.019

Qasimov, H., & Tsynkov, S. (2007). Lacuna-based stabilization of PMLs. In N. Biggs, A.-S. Bonnet-Bendhia, P. Chamberlain, S. Chandler-Wildea, G. Cohen, H. Haddar, … R. Potthast (Eds.), Proceedings of the 8th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2007,
             University of Reading, UK, July 23 -- 27, 2007 (pp. 298–300). Retrieved from https://stsynkov.math.ncsu.edu/publications/Waves_2007_proceedings.pdf

Kurganov, A., & Tsynkov, S. (2007). On Spectral Accuracy of Quadrature Formulae Based on
                   Piecewise Polynomial Interpolation (No. CRSC-TR07-11). Retrieved from Center for Research in Scientific Computation, North Carolina State University website: https://stsynkov.math.ncsu.edu/publications/a43e5.crsc.pdf

Tsynkov, S. V. (2007). Weak Lacunae of Electromagnetic Waves in Dilute Plasma. SIAM Journal on Applied Mathematics, 67(6), 1548–1581. https://doi.org/10.1137/060655134

Ryaben’kii, V. S., & Tsynkov, S. V. (2006). A Theoretical Introduction to Numerical Analysis (p. xiv+537). https://doi.org/10.1201/9781420011166

Ryaben’kii, V. S., Utyuzhnikov, S. V., & Tsynkov, S. V. (2006). The Problem of Active Shielding for Composite Regions. Dokl. Akad. Nauk, 411(2), 164–166. Retrieved from https://stsynkov.math.ncsu.edu/publications/a45r.pdf

Ryaben’kii, V. S., Utyuzhnikov, S. V., & Tsynkov, S. V. (2006). The Problem of Active Shielding for Multiply Connected Regions. Doklady Rossiiskoi Akademii Nauk Matematika (Transactions of the Russian Academy of Sciences, Mathematics), 411(2), 164–166.

Ryaben'kii, V. S., Utyuzhnikov, S. V., & Tsynkov, S. (2006). The problem of active noise shielding in composite domains. Doklady. Mathematics, 74(3), 812–814. https://doi.org/10.1134/S106456240606007X

Fibich, G., & Tsynkov, S. V. (2005). Numerical Solution of the Nonlinear Helmholtz Equation Using
             Nonorthogonal Expansions. Proceedings of the 7th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2005,
             Brown University, Providence, RI, June 20 -- 24, 2005, 379–381.

Fibich, G., & Tsynkov, S. (2005). Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions. Journal of Computational Physics, 210(1), 183–224. https://doi.org/10.1016/j.jcp.2005.04.015

Lončarić, J., & Tsynkov, S. V. (2005). Quadratic optimization in the problems of active control of sound. Applied Numerical Mathematics, 52(4), 381–400. https://doi.org/10.1016/j.apnum.2004.08.041

Tsynkov, S. (2004). On the application of lacunae-based methods to Maxwell's equations. Journal of Computational Physics, 199(1), 126–149. https://doi.org/10.1016/.jcp.2004.02.003

Tsynkov, S. V. (2004). On the application of lacunae-based methods to Maxwell's equations. Journal of Computational Physics, 199(1), 126–149. https://doi.org/10.1016/j.jcp.2004.02.003

Lončarić, J., & Tsynkov, S. V. (2004). Optimization of power in the problems of active control of sound. Mathematics and Computers in Simulation, 65(4-5), 323–335. https://doi.org/10.1016/j.matcom.2004.01.005

Tsynkov, S. V. (2003). Journal of Scientific Computing, 18(2), 155–189. https://doi.org/10.1023/A:1021111713715

Tsynkov, S. V. (2003). Artificial Boundary Conditions for the Numerical Simulation of
                   Unsteady Electromagnetic Waves (No. CRSC–TR03–19). Retrieved from Center for Research in Scientific Computation, North Carolina State University website: https://stsynkov.math.ncsu.edu/publications/a34p.ncsu.pdf

Tsynkov, S. V. (2003). Artificial boundary conditions for the numerical simulation of unsteady acoustic waves. Journal of Computational Physics, 189(2), 626–650. https://doi.org/10.1016/S0021-9991(03)00249-3

Ilan, B., Fibich, G., & Tsynkov, S. (2003). Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves. SIAM Journal on Applied Mathematics, 63(5), 1718–1736. https://doi.org/10.1137/S0036139902411855

Tsynkov, S. V. (2003). Lacunae-Based Artificial Boundary Conditions for the Numerical Simulation
             of Unsteady Waves Governed by Vector Models. In G. C. Cohen, E. Heikkola, P. Joly, & P. Neittaanmäki (Eds.), Mathematical
             and Numerical Aspects of Wave Propagation --- WAVES 2003,
             The Sixth International Conference, Jyväskylä, Finland, June 30 -- July 4, 2003.
             Proceedings (pp. 103–108). Retrieved from https://stsynkov.math.ncsu.edu/publications/waves2003p.pdf

Lončarić, J., & Tsynkov, S. (2003). Optimization in the Context of Active Control of Sound. In Computational Science and Its Applications — ICCSA 2003 (Vol. 2668, pp. 801–810). https://doi.org/10.1007/3-540-44843-8_87

Loncaric, J., & Tsynkov, S. V. (2003). Optimization of Acoustic Source Strength in the Problems of Active Noise Control. SIAM Journal on Applied Mathematics, 63(4), 1141–1183. https://doi.org/10.1137/S0036139902404220

Abarbanel, S., Tsynkov, S., & Turkel, E. (2002). A Future Role of Numerical and Applied Mathematics in Material Sciences (No. 40, NASA/CR–2002–211453). Retrieved from ICASE website: https://apps.dtic.mil/dtic/tr/fulltext/u2/a402142.pdf

Fibich, G., Ilan, B., & Tsynkov, S. (2002). Computation of Nonlinear Backscattering Using a High-Order Numerical Method. Journal of Scientific Computing, 17(1-4), 351–364. https://doi.org/10.1023/a:1015181404953

Ryaben’kii, V. S. (2002). On the Results of the Application of the Method of Difference Potentials to the Construction of Artificial Boundary Conditions for External Flow Computations. In Method of Difference Potentials and Its Applications (Vol. 30, pp. 403–441). https://doi.org/10.1007/978-3-642-56344-7_17

Roberts, T. W., Sidilkover, D., & Tsynkov, S. V. (2002). On the combined performance of nonlocal artificial boundary conditions with the new
         generation of advanced multigrid flow solvers. Computers & Fluids, 31(3), 269–308. https://doi.org/https://doi.org/10.1016/S0045-7930(01)00045-7

Roberts, T. W., Sidilkover, D., & Tsynkov, S. V. (2002). On the combined performance of nonlocal artificial boundary conditions with the new generation of advanced multigrid flow solvers. Computers & Fluids, 31(3), 269–308. https://doi.org/10.1016/S0045-7930(01)00045-7

Tsynkov, S. V., & Turkel, E. (2001). A Cartesian Perfectly Matched Layer for the
                   ̆ppercaseHelmholtz Equation. In Tourrette Loı̈c & L. Halpern (Eds.), Absorbing Boundaries and Layers, Domain Decomposition Methods.
                   ̆ppercaseApplications to Large Scale Computations (pp. 279–309). Retrieved from https://stsynkov.math.ncsu.edu/publications/a24e7.pdf

Tsynkov, S. V., & Turkel, E. (2001). A Cartesian Perfectly Matched Layer for the Helmholtz Equation. In Tourrette Loı̈c & L. Halpern (Eds.), Absorbing Boundaries and Layers, Domain Decomposition Methods. Applications to Large Scale Computations (pp. 279–309). New York: Nova Science Publishers.

Loncaric, J., Ryaben'kii, V. S., & Tsynkov, S. V. (2001). Active Shielding and Control of Noise. SIAM Journal on Applied Mathematics, 62(2), 563–596. https://doi.org/10.1137/s0036139900367589

Ryaben'kii, V. S., Tsynkov, S. V., & Turchaninov, V. I. (2001). Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation. Journal of Computational Physics, 174(2), 712–758. https://doi.org/10.1006/jcph.2001.6936

Fibich, G., & Tsynkov, S. (2001). High-Order Two-Way Artificial Boundary Conditions for Nonlinear Wave Propagation with Backscattering. Journal of Computational Physics, 171(2), 632–677. https://doi.org/10.1006/jcph.2001.6800

Ryaben'kii, V. S., Tsynkov, S. V., & Turchaninov, V. I. (2001). Long-time numerical computation of wave-type solutions driven by moving sources. Applied Numerical Mathematics, 38(1-2), 187–222. https://doi.org/10.1016/S0168-9274(01)00038-1

Tsynkov, S., Abarbanel, S., Nordström, J., Ryaben'kii, V., & Vatsa, V. (2000). Global Artificial Boundary Conditions for Computation of External Flows with Jets. AIAA Journal, 38(11), 2014–2022. https://doi.org/10.2514/2.888

Tsynkov, S., Abarbanel, S., Nordstrom, J., Ryaben'kii, V., & Vasta, V. (2000). Global artificial boundary conditions for computation of external flows with jets. AIAA Journal, 38, 2014–2022. https://doi.org/10.2514/3.14645

Ryaben’kii, V. S., Turchaninov, V. I., & Tsynkov, S. V. (2000). Non-Reflecting Artificial Boundary Conditions for the Replacement of Truncated Equations with Lacunae. Mathematical Modeling, 12(12), 108–127.

Nonreflecting artificial boundary conditions for the
              replacement of rejected equations with gaps. (2000). Mat. Model., 12(12), 108–127. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1833776

Tsynkov, S. V. (1999). External Boundary Conditions for Three-Dimensional Problems of Computational Aerodynamics. SIAM Journal on Scientific Computing, 21(1), 166–206. https://doi.org/10.1137/s1064827597318757

Tsynkov, S., Abarbanel, S., Nordstrom, J., Ryaben'kii, V., & Vatsa, V. (1999). Global artificial boundary conditions for computation of external flow problems with propulsive jets. 14th Computational Fluid Dynamics Conference, 2, 836–846. https://doi.org/10.2514/6.1999-3351

Ryaben’kii, V. S., Turchaninov, V. I., & Tsynkov, S. V. (1999). Long-Time Numerical Integration of the Three-Dimensional Wave
                    Equation in the Vicinity of a Moving Source (No. 99–23, NASA/CR–1999–209350). Retrieved from ICASE website: https://ntrs.nasa.gov/search.jsp?R=19990062251

Ryaben’kii, V. S., Turchaninov, V. I., & Tsynkov, S. V. (1999). On Lacunae-Based Algorithm for Numerical Solution of 3D Wave Equation for Arbitrarily Large Time. Mathematical Modeling, 11(12), 113–127.

The use of lacunae of the 3D-wave equation for computing a
              solution at large time values. (1999). Mat. Model., 11(12), 113–126. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1761052

Ryaben'kii, V. S., & Tsynkov, S. V. (1998). AN APPLICATION OF THE DIFFERENCE POTENTIALS METHOD TO SOLVING EXTERNAL PROBLEMS IN CFD. In M. Hafez & K. Oshima (Eds.), Computational Fluid Dynamics Review 1998 (Vol. 1, pp. 169–205). https://doi.org/10.1142/9789812812957_0010

Tsynkov, S. V. (1998). Artificial Boundary Conditions for Infinite-Domain Problems. In ICASE/LaRC Interdisciplinary Series in Science and Engineering (Vol. 6, pp. 119–137). https://doi.org/10.1007/978-94-011-5169-6_7

Tsynkov, S. V., & Vatsa, V. N. (1998). Improved Treatment of External Boundary Conditions for Three-Dimensional Flow Computations. AIAA Journal, 36(11), 1998–2004. https://doi.org/10.2514/2.327

Tsynkov, S. V. (1998). Numerical solution of problems on unbounded domains. A review. Applied Numerical Mathematics, 27(4), 465–532. https://doi.org/10.1016/s0168-9274(98)00025-7

Tsynkov, S. V. (1998). On the Combined Implementation of Global Boundary Conditions with Central Difference Multigrid Flow Solvers. In T. L. Geers (Ed.), Fluid Mechanics and Its Applications (Vol. 49, pp. 285–294). https://doi.org/10.1007/978-94-015-9095-2_31

Tsynkov, S. V. (1997). Artificial Boundary Conditions for Computation of Oscillating External Flows. SIAM Journal on Scientific Computing, 18(6), 1612–1656. https://doi.org/10.1137/s1064827595291145

Tsynkov, S. V. (1996). Artificial Boundary Conditions Based on the Difference Potentials Method (No. NASA-TM-110265, NAS 1.15:110265). Retrieved from NASA Langley Research Center website: https://ntrs.nasa.gov/search.jsp?R=19960045440

Tsynkov, S. V. (1996). Construction of Artificial Boundary Conditions Using Difference Potentials Method. Mathematical Modeling, 8(9), 118–128. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1444877

Tsynkov, S. V., Turkel, E., & Abarbanel, S. (1996). External flow computations using global boundary conditions. AIAA Journal, 34(4), 700–706. https://doi.org/10.2514/3.13130

Tsynkov, S. V. (1996). Nonlocal Artificial Boundary Conditions
               for Computation of External Viscous Flows. In J.-A. Desideri, C. Hirsch, P. Le Tallec, M. Pandolfi, & J. Périaux (Eds.), Computational Fluid Dynamics'96.
                Proceedings of the Third ECCOMAS CFD Conference,
                September 9--13, 1996, Paris, France (pp. 512–518). Retrieved from https://www.tib.eu/en/search/id/BLCP%3ACN017470620/Nonlocal-Artificial-Boundary-Conditions-for-Computation/

Tsynkov, S. V. (1995). An Application of Nonlocal External Conditions to Viscous Flow Computations. Journal of Computational Physics, 116(2), 212–225. https://doi.org/10.1006/jcph.1995.1022

Ryaben'kii, V. S., & Tsynkov, S. V. (1995). An effective numerical technique for solving a special class of ordinary difference equations. Applied Numerical Mathematics, 18(4), 489–501. https://doi.org/10.1016/0168-9274(95)00081-5

Ryaben’kii, V. S., & Tsynkov, S. V. (1995). Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems. SIAM Journal on Numerical Analysis, 32(5), 1355–1389. https://doi.org/10.1137/0732063

Tsynkov, S. V. (1995). Nonlocal Artificial Boundary Conditions
               Based on the Difference Potentials Method. In M. Hafez (Ed.), Sixth International Symposium on
                 Computational Fluid Dynamics. Collection of Technical Papers: Vol. IV (pp. 114–119). Retrieved from https://www.tib.eu/en/search/id/TIBKAT%3A228255147/A-collection-of-technical-papers-Sixth-International/

Tsynkov, S. V. (1995). Nonlocal Artificial Boundary Conditions for Computation of External Viscous Flows. In S. N. Atluri, G. Yagawa, & T. A. Cruse (Eds.), Computational Mechanics ’95 (pp. 1065–1070). https://doi.org/10.1007/978-3-642-79654-8_174

Artificial Boundary Conditions for the Numerical Solution of 
              External Viscous Flow Problems. I. (1993). Rossijskaya Akad. Nauk Inst. Prikl. Mat. Preprint, (45).

Artificial Boundary Conditions for the Numerical Solution of 
              External Viscous Flow Problems. II. (1993). Rossijskaya Akad. Nauk Inst. Prikl. Mat. Preprint, (46).

Tsynkov, S. V. (1991). Application of a model of potential flow to the formulation of
              conditions on the outer boundary for Euler equations. I. Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (40), 25. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1156343

Sofronov, I. L., & Tsynkov, S. V. (1991). Application of a model of potential flow to the formulation of
              conditions on the outer boundary for Euler equations. II. Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (41), 27. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1156344

Boundary equations with projectors in composite domains. (1991). Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (112), 20. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1278545

Decomposition algorithms based on boundary equations with
              projectors. (1991). Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (113), 23. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1278546

Tsynkov, S. V. (1991). Exact  Transfer of Boundary Conditions in
               Subsonic  Problems  of  Computational  Gas  Dynamics. In A. V. Zabrodin & G. P. Voskresensky (Eds.), Construction of Algorithms and Solution of Mathematical Physics Problems (pp. 194–198). Moscow.

Elizarova, T. G., Tsynkov, S. V., & Chetverushkin, B. N. (1991). Kinetic-Consistent Finite-Difference Schemes in Curvilinear Coordinate Systems. Differential Equations, 27(7), 1161–1169.

Elizarova, T. G., Tsynkov, S. V., & Chetverushkin, B. N. (1991). Kinetically consistent difference schemes in curvilinear
              coordinate systems. Differentsiaļprime Nye Uravneniya, 27(7), 1161–1169, 1285. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1127501

Tsynkov, S. V. (1990). Conditions on the exterior boundary of a computational domain
              in subsonic problems of computational gas dynamics. Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (108), 26. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1120837

Elizarova, T. G., Tsynkov, S. V., & Chetverushkin, B. N. (1990). Derivation of  Invariant  Quasihydrodynamic  Equations
              on  the  Basis   of Kinetic Models. Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (7).

Kamenetskiı̆ D. S., & Tsynkov, S. V. (1990). Numerical generation of conformal grids in the exterior of a
              bounded simply connected domain based on the method of
              difference potentials. Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (61), 21. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1086442

Kamenetskiı̆ D. S., & Tsynkov, S. V. (1990). On the construction of images of simply connected domains
              realized by solutions of a system of Beltrami equations. Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (155), 18. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1157869

Elizarova, T. G., Tsynkov, S. V., & Chetverushkin, B. N. (1989). Construction of kinetically consistent difference schemes on
              curvilinear grids. Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (8), 24. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1019147