S. Tsynkov's List of Publications



Book


  • V. S. RYABEN'KII AND S. V. TSYNKOV, A Theoretical Introduction to Numerical Analysis, Chapman and Hall/CRC Press, Boca Raton, 2007. Additional information.



    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]

    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]

    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.

    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, to appear 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 (Transactions of the Russian Academy of Sceinces), 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, to appear in: Effective Computational Methods in Wave Propagation, V. A. Dougalis, J. A. Ekaterinaris, and N. A. Kampanis, eds., CRC Press series: Numerical Insight, CRC Press, 2007.

    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.

    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, submitted for publication to the Journal of the Acoustical Society of America, 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.

    68
    S. V. TSYNKOV, On the Application of Lacunae-Based Methods to Maxwell's Equations: Part II, in progress.

    69
    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.

    70
    S. ABARBANEL, H. QASIMOV, AND S. V. TSYNKOV, Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes, submitted for publication to the Journal of Scientific Computing.

    71
    G. BARUCH, G. FIBICH, AND S. V. TSYNKOV, Simulations of the Nonlinear Helmholtz Equation: Arrest of Beam Collapse, Nonparaxial Solitons, and Counter-Propagating Beams, to appear in Optics Express. Download PDF.


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