S. Tsynkov's List of Publications




Books


V. S. RYABEN'KII AND S. V. TSYNKOV, A Theoretical Introduction to Numerical Analysis, Chapman and Hall/CRC Press, Boca Raton, xiv+537 pages, 2007. (Click here to access my own web page for this book.)


M. GILMAN, E. SMITH, AND S. TSYNKOV, Transionospheric Synthetic Aperture Imaging, Series: Applied and Numerical Harmonic Analysis, Birkhauser, Cham, Switzerland, xxiii+458 pages, 2017.




Articles


1
T. G. ELIZAROVA, S. V. TSYNKOV, AND B. N. CHETVERUSHKIN, Construction of Kinetical-Consistent Finite-Difference Schemes on Curvilinear Grids, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 8, Moscow, 1989. [Russian]

2
T. G. ELIZAROVA, S. V. TSYNKOV, AND B. N. CHETVERUSHKIN, Derivation of Invariant Quasihydrodynamic Equations on the Basis of Kinetic Models, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 7, Moscow, 1990. [Russian]

3
D. S. KAMENETSKY AND S. V. TSYNKOV, Numerical Generation of Conformal Grids in the Exterior of a Bounded Simply-Connected Domain Using Difference Potentials Method, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 61, Moscow, 1990. [Russian] Download PDF.

4
S. V. TSYNKOV, Boundary Conditions at the External Boundary of the Computational Domain for Subsonic Problems in Computational Fluid Dynamics, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 108, Moscow, 1990. [Russian]

5
D. S. KAMENETSKY AND S. V. TSYNKOV, Numerical Mappings of Simply-Connected Domains by the Solutions of Beltrami Equations, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 155, Moscow, 1990. [Russian] Download PDF.

6
S. V. TSYNKOV, Exact Transfer of Boundary Conditions in Subsonic Problems of Computational Gas Dynamics, in: Construction of Algorithms and Solution of Mathematical Physics Problems, A. V. Zabrodin and G. P. Voskresensky, eds., Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Moscow, 1991, pp. 194-198. [Russian]

7
S. V. TSYNKOV, An Implementation of Potential Flow Model in Setting External Boundary Conditions for the Euler Equations. Part I, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 40, Moscow, 1991. [Russian]

8
I. L. SOFRONOV AND S. V. TSYNKOV, An Implementation of Potential Flow Model in Setting External Boundary Conditions for the Euler Equations. Part II, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 41, Moscow, 1991. [Russian]

9
T. G. ELIZAROVA, S. V. TSYNKOV, AND B. N. CHETVERUSHKIN, Kinetic-Consistent Finite-Difference Schemes in Curvilinear Coordinate Systems, Differential Equations, 27 (1991) No. 7, pp. 1161-1169 [Russian]; Differential Equations, Consultants Bureau, NY, 27, No. 7, pp. 813-820 [English].

10
D. S. KAMENETSKY, V. S. RYABEN'KII, AND S. V. TSYNKOV, Boundary Equations with Projections on Composite Domains, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 112, Moscow, 1991. [Russian]

11
D.S.KAMENETSKY, V.S.RYABEN'KII, AND S.V.TSYNKOV, Domain Decomposition Algorithms Based on the Boundary Equations with Projections, Keldysh Inst. Appl. Math., U.S.S.R. Acad. Sci., Preprint No. 113, Moscow, 1991. [Russian]

12
V. S. RYABEN'KII AND S. V. TSYNKOV, Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems, Part I, Keldysh Inst. Appl. Math., Russian Acad. Sci., Preprint No. 45, Moscow, 1993. [Russian]

13
V. S. RYABEN'KII AND S. V. TSYNKOV, Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems, Part II, Keldysh Inst. Appl. Math., Russian Acad. Sci., Preprint No. 46, Moscow, 1993. [Russian]

14
V. S. RYABEN'KII AND S. V. TSYNKOV, Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems, SIAM J. Numer. Anal., 32 (1995) pp. 1355-1389. Download PDF.

15
S. V. TSYNKOV, An Application of Nonlocal External Conditions to Viscous Flow Computations, J. Comput. Phys., 116 (1995) pp. 212-225. Download PDF.

16
S. V. TSYNKOV, E. TURKEL, AND S. ABARBANEL, External Flow Computations Using Global Boundary Conditions, AIAA Journal, 34 (1996) pp. 700-706; also: AIAA Paper No. 95-0562, January 1995.

17
S. V. TSYNKOV, Nonlocal Artificial Boundary Conditions for Computation of External Viscous Flows, in: Computational Mechanics'95, S. N. Atluri, G. Yagawa, T. A. Cruse, eds., Springer-Verlag, Berlin, 1995, pp. 1065-1070.

18
S. V. TSYNKOV, Nonlocal Artificial Boundary Conditions Based on the Difference Potentials Method, in: Sixth International Symposium on Computational Fluid Dynamics, Collection of Technical Papers, Vol. IV, September 4-8, 1995, Lake Tahoe, Nevada, pp. 114-119.

19
V. S. RYABEN'KII AND S. V. TSYNKOV, An Effective Numerical Technique for Solving a Special Class of Ordinary Difference Equations, Appl. Numer. Math., 18 (1995) pp. 489-501. Download PDF.

20
S. V. TSYNKOV, Artificial Boundary Conditions for Computation of Oscillating External Flows, SIAM J. Sci. Comput., 18 (1997) pp. 1612-1656. Download PDF.

21
S. V. TSYNKOV, Construction of Artificial Boundary Conditions Using Difference Potentials Method, Mathematical Modeling, 8, No. 9 (1996) pp. 118-128.

22
S. V. TSYNKOV, Artificial Boundary Conditions Based on the Difference Potentials Method, NASA Technical Memorandum No. 110265, Langley Research Center, July 1996. Download PDF.

23
V. S. RYABEN'KII AND S. V. TSYNKOV, An Application of the Difference Potentials Method to Solving External Problems in CFD, Computational Fluid Dynamics Review 1998, Vol. 1, M. Hafez and K. Oshima, eds., World Scientific, Singapore, 1998, pp. 169-205. Download PDF.

24
S. V. TSYNKOV, Nonlocal Artificial Boundary Conditions for Computation of External Viscous Flows, in: Computational Fluid Dynamics'96, Proceedings of the Third ECCOMAS CFD Conference, September 9-13, 1996, Paris, France, J.-A. Desideri, C. Hirsch, P. Le Tallec, M. Pandolfi, and J. Périaux, eds., John Wiley & Sons, 1996, pp. 512-518.

25
S. V. TSYNKOV, Artificial Boundary Conditions for Infinite-Domain Problems, in Barriers and Challenges in Computational Fluid Dynamics, V. Venkatakrishnan, M. D. Salas, and S. R. Chakravarthy, eds., Kluwer Academic Publishers, 1998, pp. 119-138.

26
S. V. TSYNKOV AND V. N. VATSA, An Improved Treatment of External Boundary for Three-Dimensional Flow Computations, AIAA J., 36 (1998) pp. 1998-2004; also: AIAA Paper No. 97-2074, June 1997; also in: Absorbing Boundaries and Layers, Domain Decomposition Methods. Applications to Large Scale Computations, Loïc Tourrette and Lorance Halpern, eds., Nova Science Publishers, Inc., New York, 2001, pp. 181-200. Download PDF.

27
S. V. TSYNKOV, External Boundary Conditions for Three-Dimensional Problems of Computational Aerodynamics, SIAM J. Sci. Comp., 21 (1999) pp. 166-206. Download PDF.

28
S. V. TSYNKOV, Numerical Solution of Problems on Unbounded Domains. A Review, Appl. Numer. Math., 27 (1998) pp. 465-532. Download PDF.

29
S. V. TSYNKOV, On the Combined Implementation of Global Boundary Conditions with Central-Difference Multigrid Flow Solvers, in Proceedings of IUTAM Symposium on Computational Methods for Unbounded Domains, Thomas L. Geers, ed., Kluwer Academic Publishers, Dordrecht, 1998, pp. 285-294.

30
S. V. TSYNKOV, S. ABARBANEL, J. NORDSTRÖM, V. S. RYABEN'KII, AND V. N. VATSA, Global Artificial Boundary Conditions for Computation of External Flow Problems with Propulsive Jets, AIAA Paper No. 99-3351, in: 14th AIAA CFD Conference, Norfolk, VA, June-July 1999, A Collection of Technical Papers, Vol. 2, pp. 836-846.

31
S. V. TSYNKOV, S. ABARBANEL, J. NORDSTRÖM, V. S. RYABEN'KII, AND V. N. VATSA, Global Artificial Boundary Conditions for Computation of External Flows with Jets, AIAA J., 38 (2000) pp. 2014-2022. Download PDF.

32
S. V. TSYNKOV AND E. TURKEL, A Cartesian Perfectly Matched Layer for the Helmholtz Equation, in: Absorbing Boundaries and Layers, Domain Decomposition Methods. Applications to Large Scale Computations, Loïc Tourrette and Lorance Halpern, eds., Nova Science Publishers, Inc., New York, 2001, pp. 279-309. Download PDF.

33
V. S. RYABEN'KII, V. I. TURCHANINOV, AND S. V. TSYNKOV, On Lacunae-Based Algorithm for Numerical Solution of 3D Wave Equation for Arbitrarily Large Time, Mathematical Modeling, 11, No. 12 (1999), pp. 113-127. [Russian] Download PDF.

34
V. S. RYABEN'KII, V. I. TURCHANINOV, AND S. V. TSYNKOV, Long-Time Numerical Integration of the Three-Dimensional Wave Equation in the Vicinity of a Moving Source, ICASE Report No. 99-23, NASA/CR-1999-209350, Hampton, VA, January 1999.

35
V. S. RYABEN'KII, V. I. TURCHANINOV, AND S. V. TSYNKOV, Non-Reflecting Artificial Boundary Conditions for the Replacement of Truncated Equations with Lacunae, Mathematical Modeling, 12, No. 12 (2000) pp. 108-127. [Russian]

36
S. V. TSYNKOV, On the Results of Application of the Difference Potentials Method to the Construction of Artificial Boundary Conditions for External Flow Computations, in: V. S. Ryaben'kii, Method of Difference Potentials and its Applications, Springer-Verlag, Berlin, 2002. Download PDF.

37
V. S. RYABEN'KII, S. V. TSYNKOV, AND V. I. TURCHANINOV, Long-Time Numerical Computation of Wave-Type Solutions Driven by Moving Sources, Appl. Numer. Math., 38 (2001) pp. 187-222. Download PDF.

38
J. LONCARIC, V. S. RYABEN'KII, AND S. V. TSYNKOV, Active Shielding and Control of Noise, SIAM J. Applied Math., 62 (2001) pp. 563-596. Download PDF.

39
T. W. ROBERTS, D. SIDILKOVER, AND S. V. TSYNKOV, On the Combined Performance of Non-Local Artificial Boundary Conditions with the New Generation of Advanced Multigrid Flow Solvers, Computers and Fluids, 31 (2001) pp. 269-308. Download PDF.

40
G. FIBICH AND S. V. TSYNKOV, High-Order Two-Way Artificial Boundary Conditions for Nonlinear Wave Propagation with Backscattering, J. Comput. Phys., 171 (2001) pp. 632-677. Download PDF.

41
V. S. RYABEN'KII, S. V. TSYNKOV, AND V. I. TURCHANINOV, Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation, J. Comput. Phys., 174 (2001) pp. 712-758. Download PDF.

42
G. FIBICH, B. ILAN, AND S. V. TSYNKOV, Computation of Nonlinear Backscattering Using a High-Order Numerical Method, J. Sci. Comput., 17 (2002) pp. 351-364. Download PDF.

43
S. V. TSYNKOV, On the Definition of Surface Potentials for Finite-Difference Operators, J. Sci. Comput., 18 (2003) pp. 155-189. Download PDF.

44
J. LONCARIC AND S. V. TSYNKOV, Optimization of Acoustic Source Strength in the Problems of Active Noise Control, SIAM J. Applied Math., 63 (2003) pp. 1141-1183. Download PDF.

45
J. LONCARIC AND S. V. TSYNKOV, Quadratic Optimization in the Problems of Active Control of Sound, Applied Numer. Math., 52 (2005) pp. 381-400. Download PDF;

46
G. FIBICH, B. ILAN, AND S. V. TSYNKOV, Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves, SIAM J. Applied Math., 63 (2003) pp. 1718-1736. Download PDF.

47
S. V. TSYNKOV, Artificial Boundary Conditions for the Numerical Simulation of Unsteady Acoustic Waves, J. Comput. Phys., 189 (2003) pp. 626-650. Download PDF.

48
S. V. TSYNKOV, Artificial Boundary Conditions for the Numerical Simulation of Unsteady Electromagnetic Waves, Center for Research in Scientific Computation, North Carolina State University, Tech. Report No. CRSC-TR03-19, Raleigh, NC, April 2003. Download PDF.

49
J. LONCARIC AND S. V. TSYNKOV, Optimization of Power in the Problems of Active Control of Sound, Mathematics and Computers in Simulation, 65, Issues 4-5 (2004) pp. 323-335. Download PDF.

50
S. ABARBANEL, E. TURKEL, AND S. V. TSYNKOV, A Future Role of Numerical and Applied Mathematics in Material Sciences, ICASE Interim Report No. 40, NASA/CR-2002-211453, Hampton, VA, April 2002. Download PDF.

51
J. LONCARIC AND S. V. TSYNKOV, Optimization in the Context of Active Control of Sound, in: Computational Science and Its Applications - ICCSA 2003, Proceedings of the International Conference, Montreal, Canada, May 18-21, 2003, V. Kumar, M. L. Gavrilova, C. J. K. Tan, and P. L'Ecuyer, eds., Part II, Lecture Notes in Computer Science 2668, Springer, Berlin, 2003, pp. 801-810. Download PDF.

52
S. V. TSYNKOV, Artificial Boundary Conditions for the Numerical Simulation of Unsteady Waves Governed by Vector Models, in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003, Proceedings of the Sixth International Conference Held at Jyvaskyla, Finland, June 30 - July 4, 2003, G. C. Cohen, E. Heikkola, P. Joly, and P. Neittaanmaki, eds., Springer, Berlin, 2003, pp. 103-108. Download PDF.

53
S. V. TSYNKOV, On the Application of Lacunae-Based Methods to Maxwell's Equations, J. Comput. Phys., 199 (2004) pp. 126-149. Download PDF.

54
G. FIBICH AND S. V. TSYNKOV, Numerical Solution of the Nonlinear Helmholtz Equation Using Nonorthogonal Expansions, J. Comput. Phys., 210 (2005) pp. 183-224. Download PDF.

55
G. FIBICH AND S. V. TSYNKOV, Numerical Solution of the Nonlinear Helmholtz Equation Using Nonorthogonal Expansions, in: Proceedings of the 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2005, Brown University, Providence, RI, June 20 - 24, 2005, pp. 379-381.

56
V. S. RYABEN'KII, S. V. UTYUZHNIKOV, AND S. V. TSYNKOV, The Problem of Active Shielding for Multiply Connected Regions, Doklady Rossiiskoi Akademii Nauk, Matematika (Transactions of the Russian Academy of Sceinces, Mathematics), 411, No. 2 (2006) pp. 164-166. Download PDF (Russian).

57
A. KURGANOV AND S. TSYNKOV, On Spectral Accuracy of Quadrature Formulae Based on Piecewise Polynomial Interpolation, Center for Research in Scientific Computation, North Carolina State University, Technical Report No. CRSC-TR07-11, 2007. Download PDF.

58
G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, Numerical Solution of the Nonlinear Helmholtz Equation with Axial Symmetry, Journal of Computational and Applied Mathematics, 204, No. 2 (2007) pp. 477-492. Download PDF.

59
V. S. RYABEN'KII, S. V. TSYNKOV, AND S. V. UTYUZHNIKOV, Inverse Source Problem and Active Shielding for Composite Domains, Applied Mathematics Letters, 20, No. 5 (2007) pp. 511-515. Download PDF.

60
G. FIBICH AND S. V. TSYNKOV, Numerical Solution of the Nonlinear Helmholtz Equation, in: Effective Computational Methods in Wave Propagation, V. A. Dougalis, J. A. Ekaterinaris, and N. A. Kampanis, eds., CRC Press series: Numerical Insight, Volume 5, Chapman & Hall/CRC Press, February 2008, pp 37-62.

61
S. V. TSYNKOV, Weak Lacunae of Electromagnetic Waves in Dilute Plasma, SIAM J. Applied Math., 67, No. 6 (2007) pp. 1548-1581. Download PDF.

62
A. PETERSON AND S. TSYNKOV, Active Control of Sound for Composite Regions, SIAM J. Applied Math., 67, No. 6 (2007) pp. 1582-1609. Download PDF.

63
G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, High-Order Numerical Method for the Nonlinear Helmholtz Equation with Material Discontinuities in One Space Dimension, J. Comput. Phys., 227 (2007) pp. 820-850. Download PDF.

64
G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, High-Order Numerical Method for the Nonlinear Helmholtz Equation with Material Discontinuities, in: 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. Download PDF.

65
H. LIM, S. V. UTYUZHNIKOV, Y. W. LAM, A. TURAN, M. AAVIS, V. S. RYABEN'KII, and S. V. TSYNKOV, An Experimantal Validation of the Noise Control Methodology Based on Difference Potentials, AIAA Journal, 47, No. 4 (2009) pp. 874-884. Download PDF.

66
H. QASIMOV AND S. V. TSYNKOV, Lacunae Based Stabilization of PMLs, J. Comput. Phys., 227 (2008) pp. 7322-7345. Download PDF.

67
H. QASIMOV AND S. V. TSYNKOV, Lacunae Based Stabilization of PMLs, in: 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. Download PDF.

68
G. BARUCH, G. FIBICH, S. V. TSYNKOV AND E. TURKEL, Fourth Order Scheme for Wave-Like Equations in Frequency Space with Discontinuities in the Coefficients, Communications in Computational Physics, 5 (2009) No. 2-4, pp. 442-455. Download PDF.

69
S. ABARBANEL, H. QASIMOV, AND S. V. TSYNKOV, Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes, Journal of Scientific Computing, 41, No. 1 (2009) pp. 1-12. Download PDF.

70
G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, Simulations of the Nonlinear Helmholtz Equation: Arrest of Beam Collapse, Nonparaxial Solitons, and Counter-Propagating Beams, Optics Express, 16 (2008) Issue 17, pp. 13323-13329. Download PDF.

71
S. V. TSYNKOV, On SAR Imaging through the Earth's Ionosphere, SIAM Journal on Imaging Sciences, 2 (2009) No. 1, pp. 140-182. Download PDF.

72
G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, A High-Order Numerical Method for the Nonlinear Helmholtz Equation in Multidimensional Layered Media, J. Comput. Phys., 228 (2009) pp. 3789-3815. Download PDF.

73
V. S. RYABEN'KII, S. V. TSYNKOV, AND S. V. UTYUZHNIKOV, Difference Problem of Noise Suppression and Other Control Problems for Time-Harmonic Sound over Composite Regions, Doklady Rossiiskoi Akademii Nauk, Matematika (Transactions of the Russian Academy of Sciences, Mathematics), 425, No. 4 (2009) pp. 456-458 [Russian]. Download PDF.

74
S. V. TSYNKOV, On the Use of Start-Stop Approximation for Spaceborne SAR Imaging, SIAM Journal on Imaging Sciences, 2, No. 2 (2009) pp. 646-669. Download PDF.

75
V. S. RYABEN'KII, S. V. TSYNKOV, AND S. V. UTYUZ HNIKOV, Active Control of Sound with Variable Degree of Cancellation, Applied Mathematics Letters, 22 (2009) pp. 1846-1851. Download PDF.

76
S. BRITT, S. TSYNKOV, AND E. TURKEL, A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates, Journal of Scientific Computing, 45, Nos. 1-3, (2010) pp. 26-47. Download PDF.

77
S. V. TSYNKOV, On SAR Imaging through the Earth's Ionosphere, in: Proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2009, Pau, France, June 15-19, 2009, Helene Barucq, Anne-Sophie Bonnet-Benhia, Gary Cohen, Julien Diaz, Abdelaaziz Ezziana, and Patrick Joly, eds., Institut National De Recherche en Informatique et en Automatique, 2009, pp. 312-313. Download PDF.

78
G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, Numerical Simulation of Focusing Nonlinear Waves in the Nonparaxial Regime, in: Proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2009, Pau, France, June 15-19, 2009, Helene Barucq, Anne-Sophie Bonnet-Benhia, Gary Cohen, Julien Diaz, Abdelaaziz Ezziana, and Patrick Joly, eds., Institut National De Recherche en Informatique et en Automatique, 2009, pp. 326-327. Download PDF.

79
G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, Numerical Solution of the Nonlinear Helmholtz Equation, in: Mathematics in Applications, Proceedings of the conference devoted to academician S. K. Godunov's 80th birthday, Novosibirsk, Russia, July 20-24, 2009, pp. 37-38. [Russian] Download PDF.

80
E. SMITH AND S. TSYNKOV, Dual Carrier Probing for Spaceborne SAR Imaging, SIAM Journal on Imaging Sciences, 9 No. 2 (2011) pp. 501-542. Download PDF.

81
S. BRITT, S. TSYNKOV, AND E. TURKEL, Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes, Communications in Computational Physics, 9, No. 3 (2011) pp. 520-541. Download PDF.

82
S. PETROPAVLOVSKY AND S. TSYNKOV, A Non-Deteriorating Algorithm for Computational Electromagnetism Based on Quasi-Lacunae of Maxwell's Equations, J. Comput. Phys., 231 (2012) pp. 558-585. Download PDF.

83
S. PETROPAVLOVSKY AND S. TSYNKOV, Quasi-Lacunae of Maxwell's equations, SIAM Journal on Applied Mathematics, 71, No. 4 (2011) pp. 1109-1122. Download PDF.

84
S. TSYNKOV AND E. TURKEL, 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, The Pacific Institute for the Mathematical Sciences, Canada, 2011, pp. 659-662. Download PDF.

85
M. GILMAN, E. SMITH, AND S. TSYNKOV, Reduction of ionospheric distortions for spaceborne synthetic aperture radar with the help of image registration, Inverse Problems, 29 (2013) 054005 (35pp) Download PDF.

86
E. KANSA, U. SHUMLAK, AND S. TSYNKOV, Discrete Calderon's Projections on Parallelepipeds and their Application to Computing Exterior Magnetic Fields for FRC Plasmas, Journal of Computational Physics, 234 (2013) pp. 172-198. Download PDF.

87
M. GILMAN, E. SMITH, AND S. TSYNKOV, A Linearized Inverse Scattering Problem for the Polarized Waves and Anisotropic Targets, Inverse Problems, 28 (2012) 085009 (38pp). Download PDF.

88
M. MEDVINSKY, S. TSYNKOV, AND E. TURKEL, The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes, Journal of Scientific Computing, 53, No. 1 (2012) pp. 150-193. Download PDF. This paper also has an erratum: download erratum in PDF.

89
S. BRITT, S. TSYNKOV, AND E. TURKEL, A High Order Numerical Method for the Helmholtz Equation with Non-Standard Boundary Conditions, SIAM Journal on Scientific Computing, 35, No. 5 (2013) pp. A2255-A2292. Download PDF.

90
E. TURKEL, D. GORDON, R. GORDON, AND S. TSYNKOV, Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number, Journal of Computational Physics, 232, No. 1 (2012) pp. 272-287. Download PDF.

91
M. MEDVINSKY, S. TSYNKOV, AND E. TURKEL, High Order Numerical Simulation of the Transmission and Scattering of Waves Using the Method of Difference Potentials, Journal of Computational Physics, 243 (2013) pp. 305-322. Download PDF.

92
S. BRITT, M. MEDVINSKY, S. TSYNKOV, AND E. TURKEL, 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, Keldysh Institute of Applied Mathematics, Moscow, Russia, May 27--31, 2013, ISBN: 978-5-98354-010-1, pp.~33--34. Download PDF.   Download entire proceedings.

93
M. GILMAN, E. SMITH, AND S. TSYNKOV, Single-polarization SAR imaging in the presence of Faraday rotation, Inverse Problems, 30 (2014) 075002 (27pp). Download PDF.

94
M. GILMAN AND S. TSYNKOV, Detection of material dispersion using SAR, in Proceedings of the 10th European Conference on Synthetic Aperture Radar (EUSAR 2014), June 3-5, 2014, Berlin, Germany, VDE VERLAG GMBH, Berlin - Offenbach, Germany, 2014, pp. 1013-1016. Download PDF.

95
M. GILMAN AND S. TSYNKOV, A mathematical model for SAR imaging beyond the first Born approximation, SIAM Journal on Imaging Sciences, 30, No. 1 (2015) pp. 186-225. Download PDF.

96
S. BRITT, S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, Computation of singular solutions to the Helmholtz equation with high order accuracy, Applied Numerical Mathematics, 93 (2015) pp. 215-241. Download PDF.

97
Y. EPSHTEYN, I. SOFRONOV, AND S. TSYNKOV, Professor V. S. Rybane'kii. On the occasion of the 90th birthday, Applied Numerical Mathematics, 93 (2015) pp. 1-2. Download PDF.

98
M. MEDVINSKY, S. TSYNKOV, AND E. TURKEL, 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. Download PDF.

99
M. MEDVINSKY, S. TSYNKOV, AND E. TURKEL, Solving the Helmholtz equation for general smooth geometry using simple grids, Wave Motion, 62 (2016) pp. 75-97. Download PDF.

100
S. K. GODUNOV, V. T. ZHUKOV, M. I. LAZAREV, I. L. SOFRONOV, V. I. TURCHANINOV, A. S. KHOLODOV, S. V. TSYNKOV, B. N. CHETVERUSHKIN, AND Y. Y. EPHSTEYN, Viktor Solomonovich Ryaben'kii and his School (on his 90th Birthday), Uspekhi Matematichaskikh Nauk (Russiam Mathematical Surveys), 20 6(426), (2015) pp. 213-236 [Russian], pp. 1183-1210 [English]. Download Russian PDF.   Download English PDF.

101
S. BRITT, S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, Difference Potential 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. Download PDF.

102
A. FEDOSEYEV, E. J. KANSA, S. TSYNKOV, S. PETROPAVLOVSKIY, M. OSINTCEV, U. SHUMLAK, AND W. D. HENSHAW, A Universal Framework for Non-deteriorating Time-domain Numerical Algorithms in Maxwell's Electrodynamics, in: Application of Mathematics in Technical and Natural Sciences: 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences --- AMiTaNS'16, Michail D. Todorov, ed., American Institute of Physics (AIP) Conference Proceedings, 1773 (2016) 020001 (21pp). Download PDF.

103
S. PETROPAVLOVSKY AND S. TSYNKOV, A Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics, J. Comput. Physics, 336 (2017) pp. 1-35. Download PDF.

104
S. BRITT, S. TSYNKOV, AND E. TURKEL, A high order compact time/space finite difference scheme for the wave equation with variable speed of sound, Journal of Scientific Computing, 76, No. 2 (2018) pp. 777-811. Download PDF.

105
S. MAGURA, S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, High order numerical solution of the Helmholtz equation for domains with reentrant corners, Applied Numerical Mathematics, 118 (2017) pp. 87-116. Download PDF.

106
M. GILMAN AND S. TSYNKOV, The Doppler Effect for SAR, in: Book of Abstracts, The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2017, University of Minnesota, Twin Cities, MN, May 15-19, 2017, pp. 369-370. Download PDF.   Download entire proceedings.  

107
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, An efficient numerical algorithm for the 3D wave equation in domains of complex shape, in: Book of Abstracts, The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2017, University of Minnesota, Twin Cities, MN, May 15-19, 2017, pp. 365-366. Download PDF.   Download entire proceedings.  

108
M. OSINTCEV AND S. TSYNKOV, Computational complexity of artificial boundary conditions for Maxwell's equations in the FDTD method, in: Book of Abstracts, The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2017, University of Minnesota, Twin Cities, MN, May 15-19, 2017, pp. 275-276. Download PDF.   Download entire proceedings.  

109
S. BRITT, S. TSYNKOV, AND E. TURKEL, High order accurate solution of the wave equation by compact finite differences and difference potentials, in: Book of Abstracts, The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2017, University of Minnesota, Twin Cities, MN, May 15-19, 2017, pp. 63-64. Download PDF.   Download entire proceedings.  

110
S. MAGURA, S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, High order numerical solution of the Helmholtz equation for domains with reentrant corners, in: Book of Abstracts, The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, University of Minnesota, WAVES 2017, Twin Cities, MN, May 15-19, 2017, pp. 367-368. Download PDF.   Download entire proceedings.  

111
M. GILMAN AND S. TSYNKOV, Differential Faraday rotation and polarimetric SAR, SIAM Journal on Applied Mathematics, vol. 78, No. 3 (2018) pp. 1422-1449. Download PDF.

112
S. BRITT, S. TSYNKOV, AND 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) pp. 26-42. Download PDF.

113
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, A method of boundary equations for unsteady hyperbolic problems in 3D, Journal of Computational Physics, 365 (2018) pp. 294-323. Download PDF.

114
M. GILMAN AND S. TSYNKOV, Mathematical Analysis of SAR Imaging through a Turbulent Ionosphere, in: Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences --- AMiTaNS'17, Michail D. Todorov, ed., American Institute of Physics (AIP) Conference Proceedings, 1895 (2017) 020003 (23pp). Download PDF.

115
M. MEDVINSKY, S. TSYNKOV, AND E. TURKEL, Direct implementation of high order BGT artificial boundary conditions, Journal of Computational Physics, 376 (2019) pp. 98-128. Download PDF.

116
M. GILMAN AND S. TSYNKOV, Cross-Channel Contamination of PolSAR Images due to Frequency Dependence of Faraday Rotation Angle, in: 2018 IEEE Conference on Antenna Measurements and Applications (CAMA), Sep. 3-6, 2018, Vasteras, Sweden, IEEE, 2018, pp. 1-4. Download PDF.

117
M. GILMAN AND S. TSYNKOV, Detection of delayed target response in SAR, Inverse Problems 35 (2019) 085005 (38pp).   Download PDF.

118
F. SMITH, S. TSYNKOV, AND E. TURKEL, High Order Accurate Schemes for the Three Dimensional Wave Equation, Journal of Scientific Computing 81, No. 3 (2019) pp. 1181-1209.   Download PDF.

119
M. GILMAN AND S. TSYNKOV, Stochastic Models in Coordinate-Delay Synthetic Aperture Radar Imaging, in: 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, pp. 330-331. Download PDF.

120
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, A high order method of boundary operators for the 3D time-dependent wave equation, in: 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, pp. 363-365. Download PDF.

121
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, A method of boundary equations for unsteady hyperbolic problems in 3D, in: 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, p. 68. Download PDF.

122
A. CHERTOCK, A. DITKOWSKI, A. GELB, S. GOTTLIEB, AND S. TSYNKOV, Preface to the Special Issue in Memory of Professor Saul Abarbanel, Journal of Scientific Computing 81, No. 3 (2019) pp. 1119-1123.   Download PDF.

123
M. GILMAN AND S. TSYNKOV, Statistical characterization of scattering delay in synthetic aperture radar imaging, Inverse Problems and Imaging 14, No. 3 (2020) pp. 511-533.   Download PDF.

124
S. PETROPAVLOVSKY AND S. TSYNKOV, Method of difference potentials for evolution equations with lacunae, Zhurnal Vychisliteli'noi Matematiki i Matematicheskoi Fiziki 60, No. 4 (2020) pp. 725-737 [in Russian] Download PDF; Computational Mathematics and Mathematical Physics (ISSN 0965-5425) 60, No. 4 (2020) pp. 711-722 [in English] Download PDF.

125
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, A method of boundary equations for unsteady hyperbolic problems in 3D, in: Gennadii V. Demidenko, Evgeniy Romenski, Eleuterio Toro, and Michael Dumbser, Eds., Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy - A Liber Amicorum to Professor Godunov, Springer, 2020, pp. 291-297. Download PDF.

126
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, Numerical solution of 3D exterior unsteady wave propagation problems using boundary operators, SIAM Journal on Scientific Computing, 42, No. 5 (2020) pp. A3462-A3488. Download PDF.

127
J. LAGERGREN, K. FLORES, M. GILMAN, AND S. TSYNKOV, Deep learning approach to the detection of scattering delay in radar images, Journal of Statistical Theory and Practice 15, No. 1 (2021) Paper No. 14. Download PDF.

128
M. GILMAN AND S. TSYNKOV, Divergence Measures and Detection Performance for Dispersive Targets in SAR, Radio Science 56, No. 1 (2021) pp. e2019RS007011.   Download PDF.

129
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, Numerical solution of 3D non-stationary scattering problems with sublinear complexity, in: Proceedings of the International Conference "P. Chebyshev Mathematical Ideas and Their Applications to Natural Sciences," Kaluga, Russia, 2021, ISBN 978-5-6041954-8-2, pp. 342-343. Download the Proceedings.

130
M. GILMAN AND S. TSYNKOV, A mathematical perspective on radar interferometry, Inverse Problems & Imaging, 16, No. 1 (2022) pp. 119-152. Download PDF.

131
M. MEDVINSKY, S. TSYNKOV, AND E. TURKEL, Solution of three-dimensional multiple scattering problems by the method of difference potentials, Wave Motion, 107 (2021) pp. 102822. Download PDF.

132
S. PETROPAVLOVSKY, S. TSYNKOV, AND E. TURKEL, Numerical solution of 3D usnteady scattering problems with sub-linear complexity, in: Proceedings of the 2021 Applied Computational Electromagnetics Society (ACES) Online Conference, Mohamed Bakr and Branislav Notaros, eds., Volume S35 Advanced Time-Domain Numerical Methods For Nonlinear and Quantum Optics with Engineered Materials - II, 2021, ISBN 978-1-7335096-2-6, 3pp. Download PDF.

133
E. NORTH, S. TSYNKOV, AND E. TURKEL, Non-Iterative Domain Decomposition for the Helmholtz Equation with Strong Material Discontinuities, Applied Numerical Mathematics, 173 (2022) pp. 51-78. Download PDF.

134
M. GILMAN AND S. TSYNKOV, Polarimetric radar interferometry in the presence of differential Faraday rotation, Inverse Problems, 38, No. 4 (2022) pp.~045010. Download PDF.

135
A. KAHANA, F. SMITH, E. TURKEL, AND S. TSYNKOV, 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 (2022) Paper No. 111161.   Download PDF.



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