Semyon Tsynkov

Also known as: Semyon V. Tsynkov; S. Tsynkov; S. V. Tsynkov

https://orcid.org/0000-0003-1069-9612

Numerical analysis, Scientific computing, Applied mathematics, Computational physics, Optics, Electromagnetism, Plasma, Inverse problems, Control, Remote sensing, Radar imaging, Ionosphere, Geophysics, Partial differential equations

Works (148)

2020 journal article

Method of Difference Potentials for Evolution Equations with Lacunas

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 60(4), 711–722.

By: S. Petropavlovsky & S. Tsynkov

Sources: Web Of Science, ORCID
Added: June 29, 2020

2020 journal article

STATISTICAL CHARACTERIZATION OF SCATTERING DELAY IN SYNTHETIC APERTURE RADAR IMAGING

INVERSE PROBLEMS AND IMAGING, 14(3), 511–533.

By: M. Gilman & S. Tsynkov

Sources: Web Of Science, ORCID
Added: April 14, 2020

2019 conference paper

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.

By: S. Petropavlovsky, S. Tsynkov & E. Turkel

Source: ORCID
Added: September 6, 2019

2019 conference paper

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.

By: S. Petropavlovsky, S. Tsynkov & E. Turkel

Source: ORCID
Added: September 6, 2019

2019 journal article

Compact High Order Accurate Schemes for the Three Dimensional Wave Equation

Journal of Scientific Computing, 5, 1–29.

By: F. Smith, S. Tsynkov & E. Turkel

Sources: Crossref, ORCID
Added: June 21, 2019

2019 journal article

Detection of delayed target response in SAR

Inverse Problems, 4, 085005 (38pp).

By: M. Gilman & S. Tsynkov

Sources: Crossref, ORCID
Added: June 21, 2019

2019 journal article

Direct implementation of high order BGT artificial boundary conditions

Journal of Computational Physics, 376, 98–128.

By: M. Medvinsky, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID, Crossref
Added: December 10, 2018

2019 journal article

Preface to the Special Issue in Memory of Professor Saul Abarbanel

Journal of Scientific Computing.

Source: ORCID
Added: December 4, 2019

2019 conference paper

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.

By: M. Gilman & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2018 journal article

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.

By: S. Britt, E. Turkel & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2018 journal article

A method of boundary equations for unsteady hyperbolic problems in 3D

Journal of Computational Physics, 365, 294–323.

By: S. Petropavlovsky, S. Tsynkov & E. Turkel

Sources: Crossref, ORCID
Added: June 30, 2019

2018 conference paper

Cross-Channel Contamination of PolSAR Images due to Frequency Dependence of Faraday Rotation Angle

2018 IEEE Conference on Antenna Measurements & Applications (CAMA), 1–4.

By: M. Gilman & S. Tsynkov

Event: 2018 IEEE Conference on Antenna Measurements & Applications (CAMA)

Sources: ORCID, Crossref
Added: September 6, 2019

2018 journal article

Differential Faraday Rotation and Polarimetric SAR

SIAM Journal on Applied Mathematics, 78(3), 1422–1449.

By: M. Gilman & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2018 journal article

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.

By: S. Britt, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2017 conference paper

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.

By: S. Petropavlovsky, S. Tsynkov & E. Turkel

Source: ORCID
Added: September 6, 2019

2017 conference paper

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.

By: M. Osintcev & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2017 journal article

Conventional SAR imaging

Transionospheric Synthetic Aperture Imaging, 19–57.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 conference paper

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.

By: S. Britt, S. Tsynkov & E. Turkel

Source: ORCID
Added: September 6, 2019

2017 conference paper

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.

By: S. Magura, S. Petropavlovsky, S. Tsynkov & E. Turkel

Source: ORCID
Added: September 6, 2019

2017 journal article

High-order numerical solution of the Helmholtz equation for domains with reentrant corners

Applied Numerical Mathematics, 118, 87–116.

By: S. Magura, S. Petropavlovsky, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2017 journal article

Inverse scattering off anisotropic targets

Transionospheric Synthetic Aperture Imaging, 373–415.

By: M. Gilman, E. Smith & S. Tsynkov

Source: NC State University Libraries
Added: August 6, 2018

2017 conference paper

Mathematical analysis of SAR imaging through a turbulent ionosphere

(M. D. Todorov, Ed.).

By: M. Gilman & S. Tsynkov

Ed(s): M. Todorov

Event: APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’17

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2017 journal article

Modeling radar targets beyond the first Born approximation

Transionospheric Synthetic Aperture Imaging, 311–371.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics

Journal of Computational Physics, 336, 1–35.

By: S. Petropavlovsky & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2017 journal article

SAR imaging through the Earth's ionosphere

Transionospheric Synthetic Aperture Imaging, 59–161.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 conference paper

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.

By: M. Gilman & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2017 journal article

The effect of ionospheric anisotropy

Transionospheric Synthetic Aperture Imaging, 217–264.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

The effect of ionospheric turbulence

Transionospheric Synthetic Aperture Imaging, 163–215.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

The start-stop approximation

Transionospheric Synthetic Aperture Imaging, 265–309.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 book

Transionospheric Synthetic Aperture Imaging

In Applied and Numerical Harmonic Analysis (p. XIX-).

By: M. Gilman, E. Smith & S. Tsynkov

Event: at Cham, Switzerland

Sources: NC State University Libraries, Crossref, ORCID
Added: August 6, 2018

2017 journal article

Transionospheric Synthetic Aperture Imaging Discussion and outstanding questions

Transionospheric Synthetic Aperture Imaging, 417–431.

By: M. Gilman, E. Smith & S. Tsynkov

Source: NC State University Libraries
Added: August 6, 2018

2017 journal article

Transionospheric synthetic aperture imaging Introduction

Transionospheric Synthetic Aperture Imaging, 1–17.

By: M. Gilman, E. Smith & S. Tsynkov

Source: NC State University Libraries
Added: August 6, 2018

2016 conference paper

A universal framework for non-deteriorating time-domain numerical algorithms in Maxwell’s electrodynamics

(M. D. Todorov, Ed.).

By: A. Fedoseyev, E. Kansa, S. Tsynkov, S. Petropavlovskiy, M. Osintcev, U. Shumlak, W. Henshaw

Ed(s): M. Todorov

Event: APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’16

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2016 chapter

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.

By: S. Britt, S. Petropavlovsky, S. Tsynkov & E. Turkel

Source: ORCID
Added: September 6, 2019

2016 journal article

Solving the Helmholtz equation for general smooth geometry using simple grids

Wave Motion, 62, 75–97.

By: M. Medvinsky, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

A mathematical model for SAR imaging beyond the first born approximation

Siam Journal on Imaging Sciences, 8(1), 186–225.

By: M. Gilman & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

Computation of singular solutions to the Helmholtz equation with high order accuracy

Applied Numerical Mathematics, 93, 215–241.

By: S. Britt, S. Petropavlovsky, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2015 journal article

Professor V.S. Ryaben'kii. On the occasion of the 90-th birthday

Applied Numerical Mathematics, 93, 1–2.

By: Y. Epshteyn, I. Sofronov & S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

2015 chapter

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).

By: M. Medvinsky, E. Turkel & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2015 journal article

Viktor Solomonovich Ryaben'kii and his school (on his 90th birthday)

Russian Mathematical Surveys, 70(6), 1183–1210.

By: S. Godunov, V. Zhukov, M. Lazarev, I. Sofronov, V. Turchaninov, A. Kholodov, S. Tsynkov, B. Chetverushkin, Y. Epshteyn

Sources: Crossref, ORCID
Added: September 4, 2020

2015 journal article

Виктор Соломонович Рябенький и его школа (к девяностолетию со дня рождения)

Uspekhi Matematicheskikh Nauk, 70(6(426), 213–236.

By: С. Годунов, S. Godunov, В. Жуков, V. Zhukov, М. Лазарев, M. Lazarev, И. Софронов, I. Sofronov ...

Sources: Crossref, ORCID
Added: June 30, 2019

2014 conference paper

Detection of Material Dispersion Using SAR

Proceedings of the 10th European Conference on Synthetic Aperture Radar (EUSAR 2014), 1013–1016. Berlin-Offenbach, Germany: VDE VERLAG GMBH.

By: M. Gilman & S. Tsynkov

Event: at Berlin-Offenbach, Germany

Source: ORCID
Added: September 6, 2019

2014 journal article

Single-polarization SAR imaging in the presence of Faraday rotation

Inverse Problems, 30(7), 075002.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2013 journal article

A High-Order Numerical Method for the Helmholtz Equation with Nonstandard Boundary Conditions

SIAM Journal on Scientific Computing, 35(5), A2255–A2292.

By: D. Britt, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2013 journal article

Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number

Journal of Computational Physics, 232(1), 272–287.

By: E. Turkel, D. Gordon, R. Gordon & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2013 journal article

Discrete Calderon’s projections on parallelepipeds and their application to computing exterior magnetic fields for FRC plasmas

Journal of Computational Physics, 234, 172–198.

By: E. Kansa, U. Shumlak & S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

2013 chapter

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).

By: S. Britt, M. Medvinsky, E. Turkel & S. Tsynkov

Event: Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Source: ORCID
Added: September 6, 2019

2013 journal article

High order numerical simulation of the transmission and scattering of waves using the method of difference potentials

Journal of Computational Physics, 243, 305–322.

By: M. Medvinsky, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 journal article

Reduction of ionospheric distortions for spaceborne synthetic aperture radar with the help of image registration

Inverse Problems, 29(5), 054005.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2012 journal article

A linearized inverse scattering problem for the polarized waves and anisotropic targets

Inverse Problems, 28(8), 085009.

By: M. Gilman, E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2012 journal article

A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell’s equations

Journal of Computational Physics, 231(2), 558–585.

By: S. Petropavlovsky & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2012 journal article

Erratum to: The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes

Journal of Scientific Computing, 53(2), 482–482.

By: M. Medvinsky, S. Tsynkov & E. Turkel

Sources: Crossref, ORCID
Added: September 8, 2020

2012 article

The method of difference potentials for the Helmholtz equation using compact high order schemes (vol 53, pg 150, 2012)

Journal of Scientific Computing, Vol. 53, pp. 482–482.

By: M. Medvinsky, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2011 journal article

Dual Carrier Probing for Spaceborne SAR Imaging

SIAM Journal on Imaging Sciences, 4(2), 501–542.

By: E. Smith & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2011 chapter

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).

By: E. Turkel & S. Tsynkov

Event: Pacific Institute for the Mathematical Sciences

Source: ORCID
Added: September 6, 2019

2011 journal article

Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes

Communications in Computational Physics, 9(3), 520–541.

By: S. Britt, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2011 journal article

Quasi-Lacunae of Maxwell's Equations

SIAM Journal on Applied Mathematics, 71(4), 1109–1122.

By: S. Petropavlovsky & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2010 journal article

A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates

Journal of Scientific Computing, 45(1-3), 26–47.

By: S. Britt, S. Tsynkov & E. Turkel

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media

Journal of Computational Physics, 228(10), 3789–3815.

By: G. Baruch, G. Fibich & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

Active control of sound with variable degree of cancellation

Applied Mathematics Letters, 22(12), 1846–1851.

By: V. Ryaben’kii, S. Tsynkov & S. Utyuzhnikov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

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.

By: V. Ryaben’kii, S. Utyuzhnikov & S. Tsynkov

Source: NC State University Libraries
Added: July 28, 2019

2009 journal article

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.

By: V. Ryaben’kii, S. Utyuzhnikov & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

Experimental Validation of the Active Noise Control Methodology Based on Difference Potentials

AIAA Journal, 47(4), 874–884.

By: H. Lim, S. Utyuzhnikov, Y. Lam, A. Turan, M. Avis, V. Ryaben'kii, S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

Fourth order schemes for time-harmonic wave equations with discontinuous coefficients

Commun. Comput. Phys., 5(2-4), 442–455.

By: G. Baruch, G. Fibich, S. Tsynkov & E. Turkel

Source: ORCID
Added: September 6, 2019

2009 conference paper

Fourth order schemes for time-harmonic wave equations with discontinuous coefficients

Communications in Computational Physics, 5(2-4), 442–455.

By: G. Baruch, G. Fibich, S. Tsynkov & E. Turkel

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes

Journal of Scientific Computing, 41(1), 1–12.

By: S. Abarbanel, H. Qasimov & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 chapter

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).

By: G. Baruch, G. Fibich & S. Tsynkov

Ed(s): H. Barucq, A. Bonnet-Bendhia, G. Cohen, J. Diaz, A. Ezziana & P. Joly

Event: Institut National De Recherche en Informatique et en Automatique

Source: ORCID
Added: September 6, 2019

2009 chapter

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).

By: G. Baruch, G. Fibich & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2009 journal article

On SAR Imaging through the Earth's Ionosphere

SIAM Journal on Imaging Sciences, 2(1), 140–182.

By: S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 chapter

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).

By: S. Tsynkov

Ed(s): H. Barucq, A. Bonnet-Bendhia, G. Cohen, J. Diaz, A. Ezziana & P. Joly

Event: Institut National De Recherche en Informatique et en Automatique

Source: ORCID
Added: September 6, 2019

2009 journal article

On the Use of Start-Stop Approximation for Spaceborne SAR Imaging

SIAM Journal on Imaging Sciences, 2(2), 646–669.

By: S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2008 journal article

Lacunae based stabilization of PMLs

Journal of Computational Physics, 227(15), 7322–7345.

By: H. Qasimov & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2008 chapter

Numerical Solution of the Nonlinear Helmholtz Equation

In Effective Computational Methods for Wave Propagation (Vol. 5, pp. 37–62).

By: G. Fibich & S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

2008 journal article

Simulations of the nonlinear Helmholtz equation: arrest of beam collapse, nonparaxial solitons and counter-propagating beams

Optics Express, 16(17), 13323.

By: G. Baruch, G. Fibich & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2007 journal article

Active Control of Sound for Composite Regions

SIAM Journal on Applied Mathematics, 67(6), 1582–1609.

By: A. Peterson & S. Tsynkov

Sources: ORCID, Crossref, NC State University Libraries
Added: August 6, 2018

2007 chapter

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).

By: G. Baruch, G. Fibich & S. Tsynkov

Ed(s): N. Biggs, A. Bonnet-Bendhia, P. Chamberlain, S. Chandler-Wildea, G. Cohen, H. Haddar, P. Joly, S. Langdon ...

Source: ORCID
Added: September 6, 2019

2007 journal article

High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension

Journal of Computational Physics, 227(1), 820–850.

By: G. Baruch, G. Fibich & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2007 journal article

High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry

Journal of Computational and Applied Mathematics, 204(2), 477–492.

By: G. Baruch, G. Fibich & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2007 journal article

Inverse source problem and active shielding for composite domains

Applied Mathematics Letters, 20(5), 511–515.

By: V. Ryaben’kii, S. Tsynkov & S. Utyuzhnikov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2007 chapter

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).

By: H. Qasimov & S. Tsynkov

Ed(s): N. Biggs, A. Bonnet-Bendhia, P. Chamberlain, S. Chandler-Wildea, G. Cohen, H. Haddar, P. Joly, S. Langdon ...

Source: ORCID
Added: September 6, 2019

2007 report

On Spectral Accuracy of Quadrature Formulae Based on Piecewise Polynomial Interpolation

(No. CRSC-TR07-11). Raleigh, NC: Center for Research in Scientific Computation, North Carolina State University.

By: A. Kurganov & S. Tsynkov

Event: at Raleigh, NC

Source: ORCID
Added: September 6, 2019

2007 journal article

Weak Lacunae of Electromagnetic Waves in Dilute Plasma

SIAM Journal on Applied Mathematics, 67(6), 1548–1581.

By: S. Tsynkov

Sources: ORCID, Crossref, NC State University Libraries
Added: August 6, 2018

2006 book

A Theoretical Introduction to Numerical Analysis

(p. xiv+537).

By: V. Ryaben’kii & S. Tsynkov

Event: at Boca Raton, FL

Sources: ORCID, Crossref
Added: July 10, 2019

2006 journal article

The Problem of Active Shielding for Composite Regions

Dokl. Akad. Nauk, 411(2), 164–166.

By: V. Ryaben’kii, S. Utyuzhnikov & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2006 journal article

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.

By: V. Ryaben’kii, S. Utyuzhnikov & S. Tsynkov

Source: NC State University Libraries
Added: July 28, 2019

2006 journal article

The problem of active noise shielding in composite domains

Doklady. Mathematics, 74(3), 812–814.

By: V. Ryaben'kii, S. Utyuzhnikov & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2005 conference paper

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.

By: G. Fibich & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2005 journal article

Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions

Journal of Computational Physics, 210(1), 183–224.

By: G. Fibich & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2005 journal article

Quadratic optimization in the problems of active control of sound

Applied Numerical Mathematics, 52(4), 381–400.

By: J. Lončarić & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2004 journal article

On the application of lacunae-based methods to Maxwell's equations

Journal of Computational Physics, 199(1), 126–149.

By: S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2004 journal article

On the application of lacunae-based methods to Maxwell's equations

Journal of Computational Physics, 199(1), 126–149.

By: S. Tsynkov

Sources: ORCID, Crossref
Added: September 6, 2019

2004 journal article

Optimization of power in the problems of active control of sound

Mathematics and Computers in Simulation, 65(4-5), 323–335.

By: J. Lončarić & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2003 journal article

Journal of Scientific Computing, 18(2), 155–189.

By: S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2003 report

Artificial Boundary Conditions for the Numerical Simulation of Unsteady Electromagnetic Waves

(No. CRSC–TR03–19). Raleigh, NC: Center for Research in Scientific Computation, North Carolina State University.

By: S. Tsynkov

Event: at Raleigh, NC

Source: ORCID
Added: September 6, 2019

2003 journal article

Artificial boundary conditions for the numerical simulation of unsteady acoustic waves

Journal of Computational Physics, 189(2), 626–650.

By: S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2003 journal article

Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves

SIAM Journal on Applied Mathematics, 63(5), 1718–1736.

By: B. Ilan, G. Fibich & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2003 chapter

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). Berlin: Springer.

By: S. Tsynkov

Ed(s): G. Cohen, E. Heikkola, P. Joly & P. Neittaanmäki

Event: at Berlin

Source: ORCID
Added: September 6, 2019

2003 chapter

Optimization in the Context of Active Control of Sound

In Computational Science and Its Applications — ICCSA 2003 (Vol. 2668, pp. 801–810).

By: J. Lončarić & S. Tsynkov

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2003 journal article

Optimization of acoustic source strength in the problems of active noise control

SIAM Journal on Applied Mathematics, 63(4), 1141–1183.

By: J. Loncaric & S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2002 report

A Future Role of Numerical and Applied Mathematics in Material Sciences

(No. 40, NASA/CR–2002–211453). Hampton, VA: ICASE.

By: S. Abarbanel, S. Tsynkov & E. Turkel

Event: at Hampton, VA

Source: ORCID
Added: September 6, 2019

2002 journal article

Computation of Nonlinear Backscattering Using a High-Order Numerical Method

Journal of Scientific Computing, 17(1-4), 351–364.

By: G. Fibich, B. Ilan & S. Tsynkov

Sources: Crossref, ORCID
Added: July 10, 2019

2002 chapter

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).

By: V. Ryaben’kii

Event: at Berlin

Sources: Crossref, ORCID
Added: June 30, 2019

2002 journal article

On the combined performance of nonlocal artificial boundary conditions with the new generation of advanced multigrid flow solvers

Computers & Fluids, 31(3), 269–308.

By: T. Roberts, D. Sidilkover & S. Tsynkov

Source: ORCID
Added: September 6, 2019

2002 journal article

On the combined performance of nonlocal artificial boundary conditions with the new generation of advanced multigrid flow solvers

Computers & Fluids, 31(3), 269–308.

By: T. Roberts, D. Sidilkover & S. Tsynkov

Sources: Crossref, NC State University Libraries, ORCID
Added: August 6, 2018

2001 chapter

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). Huntington, NY: Nova Science Publishers, Inc.

By: S. Tsynkov & E. Turkel

Ed(s): L. Tourrette & L. Halpern

Event: at Huntington, NY

Source: ORCID
Added: September 6, 2019

2001 chapter

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.

By: S. Tsynkov & E. Turkel

Ed(s): L. Tourrette & L. Halpern

Source: NC State University Libraries
Added: July 28, 2019

2001 journal article

Active Shielding and Control of Noise

SIAM Journal on Applied Mathematics, 62(2), 563–596.

By: J. Loncaric, V. Ryaben'kii & S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

2001 journal article

Global discrete artificial boundary conditions for time- dependent wave propagation

Journal of Computational Physics, 174(2), 712–758.

By: V. Ryaben'kii, S. Tsynkov & V. Turchaninov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2001 journal article

High-Order Two-Way Artificial Boundary Conditions for Nonlinear Wave Propagation with Backscattering

Journal of Computational Physics, 171(2), 632–677.

By: G. Fibich & S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

2001 journal article

Long-time numerical computation of wave-type solutions driven by moving sources

Applied Numerical Mathematics, 38(1-2), 187–222.

By: V. Ryaben'kii, S. Tsynkov & V. Turchaninov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2000 journal article

Global Artificial Boundary Conditions for Computation of External Flows with Jets

AIAA Journal, 38(11), 2014–2022.

By: S. Tsynkov, S. Abarbanel, J. Nordström, V. Ryaben’kii & V. Vatsa

Source: ORCID
Added: September 6, 2019

2000 journal article

Global artificial boundary conditions for computation of external flows with jets

AIAA Journal, 38, 2014–2022.

By: S. Tsynkov, S. Abarbanel, J. Nordstrom, V. Ryaben'kii & V. Vasta

Sources: Crossref, ORCID
Added: June 30, 2019

2000 journal article

Non-Reflecting Artificial Boundary Conditions for the Replacement of Truncated Equations with Lacunae

Mathematical Modeling, 12(12), 108–127.

By: V. Ryaben’kii, V. Turchaninov & S. Tsynkov

Source: NC State University Libraries
Added: July 10, 2019

2000 journal article

Nonreflecting artificial boundary conditions for the replacement of rejected equations with gaps

Mat. Model., 12(12), 108–127.

Source: ORCID
Added: September 6, 2019

1999 journal article

External Boundary Conditions for Three-Dimensional Problems of Computational Aerodynamics

SIAM Journal on Scientific Computing, 21(1), 166–206.

By: S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

1999 chapter

Global Artificial Boundary Conditions for Computation of External Flow Problems with Propulsive Jets

In 14th AIAA CFD Conference, Norfolk, VA, June--July 1999, A Collection of Technical Papers (Vol. 2, pp. 836–846).

By: S. Tsynkov, S. Abarbanel, J. Nordström, V. Ryaben’kii & V. Vatsa

Source: ORCID
Added: September 6, 2019

1999 report

Long-Time Numerical Integration of the Three-Dimensional Wave Equation in the Vicinity of a Moving Source

(No. 99–23, NASA/CR–1999–209350). Hampton, VA: ICASE.

By: V. Ryaben’kii, V. Turchaninov & S. Tsynkov

Event: at Hampton, VA

Source: ORCID
Added: September 6, 2019

1999 journal article

On Lacunae-Based Algorithm for Numerical Solution of 3D Wave Equation for Arbitrarily Large Time

Mathematical Modeling, 11(12), 113–127.

By: V. Ryaben’kii, V. Turchaninov & S. Tsynkov

Source: NC State University Libraries
Added: July 28, 2019

1999 journal article

The use of lacunae of the 3D-wave equation for computing a solution at large time values

Mat. Model., 11(12), 113–126.

Source: ORCID
Added: September 6, 2019

1998 chapter

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).

By: V. Ryaben'kii & S. Tsynkov

Ed(s): M. Hafez & K. Oshima

Event: at Singapore

Sources: Crossref, ORCID
Added: June 30, 2019

1998 chapter

Artificial Boundary Conditions for Infinite-Domain Problems

In ICASE/LaRC Interdisciplinary Series in Science and Engineering (Vol. 6, pp. 119–137).

By: S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

1998 journal article

Improved Treatment of External Boundary Conditions for Three-Dimensional Flow Computations

AIAA Journal, 36(11), 1998–2004.

By: S. Tsynkov & V. Vatsa

Sources: Crossref, ORCID
Added: June 30, 2019

1998 journal article

Numerical solution of problems on unbounded domains. A review

Applied Numerical Mathematics, 27(4), 465–532.

By: S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

1998 chapter

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).

By: S. Tsynkov

Ed(s): T. Geers

Event: at Dordrecht

Sources: ORCID, Crossref
Added: September 6, 2019

1997 journal article

Artificial Boundary Conditions for Computation of Oscillating External Flows

SIAM Journal on Scientific Computing, 18(6), 1612–1656.

By: S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

1996 report

Artificial Boundary Conditions Based on the Difference Potentials Method

(No. NASA-TM-110265, NAS 1.15:110265). Hampton, VA: NASA Langley Research Center.

By: S. Tsynkov

Event: at Hampton, VA

Source: ORCID
Added: September 6, 2019

1996 journal article

Construction of Artificial Boundary Conditions Using Difference Potentials Method

Mathematical Modeling, 8(9), 118–128.

By: S. Tsynkov

Sources: NC State University Libraries, ORCID
Added: July 9, 2019

1996 journal article

External flow computations using global boundary conditions

AIAA Journal, 34(4), 700–706.

By: S. Tsynkov, E. Turkel & S. Abarbanel

Sources: Crossref, ORCID
Added: June 30, 2019

1996 conference paper

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). Chichester: John Wiley & Sons.

By: S. Tsynkov

Ed(s): J. Desideri, C. Hirsch, P. Le Tallec, M. Pandolfi & J. Périaux

Event: at Chichester

Source: ORCID
Added: September 6, 2019

1995 journal article

An Application of Nonlocal External Conditions to Viscous Flow Computations

Journal of Computational Physics, 116(2), 212–225.

By: S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

1995 journal article

An effective numerical technique for solving a special class of ordinary difference equations

Applied Numerical Mathematics, 18(4), 489–501.

By: V. Ryaben'kii & S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

1995 journal article

Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems

SIAM Journal on Numerical Analysis, 32(5), 1355–1389.

By: V. Ryaben’kii & S. Tsynkov

Sources: Crossref, ORCID
Added: June 30, 2019

1995 conference paper

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). Lake Tahoe, Nevada.

By: S. Tsynkov

Ed(s): M. Hafez

Event: at Lake Tahoe, Nevada

Source: ORCID
Added: September 6, 2019

1995 chapter

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).

By: S. Tsynkov

Ed(s): S. Atluri, G. Yagawa & T. Cruse

Event: at Berlin

Sources: ORCID, Crossref
Added: September 6, 2019

1993 journal article

Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems. I

Rossijskaya Akad. Nauk Inst. Prikl. Mat. Preprint, (45).

Source: ORCID
Added: September 6, 2019

1993 journal article

Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems. II

Rossijskaya Akad. Nauk Inst. Prikl. Mat. Preprint, (46).

Source: ORCID
Added: September 6, 2019

1991 journal article

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.

By: S. Tsynkov

Source: ORCID
Added: September 6, 2019

1991 journal article

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.

By: I. Sofronov & S. Tsynkov

Source: ORCID
Added: September 6, 2019

1991 journal article

Boundary equations with projectors in composite domains

Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (112), 20.

Source: ORCID
Added: September 6, 2019

1991 journal article

Decomposition algorithms based on boundary equations with projectors

Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (113), 23.

Source: ORCID
Added: September 6, 2019

1991 conference paper

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.

By: S. Tsynkov

Ed(s): A. Zabrodin & G. Voskresensky

Event: Keldysh Institute of Applied Mathematics, USSR Academy of Sciences at Moscow

Source: ORCID
Added: September 6, 2019

1991 journal article

Kinetic-Consistent Finite-Difference Schemes in Curvilinear Coordinate Systems

Differential Equations, 27(7), 1161–1169.

By: T. Elizarova, S. Tsynkov & B. Chetverushkin

Source: NC State University Libraries
Added: July 28, 2019

1991 journal article

Kinetically consistent difference schemes in curvilinear coordinate systems

Differentsiaļprime Nye Uravneniya, 27(7), 1161–1169, 1285.

By: T. Elizarova, S. Tsynkov & B. Chetverushkin

Source: ORCID
Added: September 6, 2019

1990 journal article

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.

By: S. Tsynkov

Source: ORCID
Added: September 6, 2019

1990 journal article

Derivation of Invariant Quasihydrodynamic Equations on the Basis of Kinetic Models

Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (7).

By: T. Elizarova, S. Tsynkov & B. Chetverushkin

Source: ORCID
Added: September 6, 2019

1990 journal article

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.

By: D. Kamenetskiı̆ & S. Tsynkov

Source: ORCID
Added: September 6, 2019

1990 journal article

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.

By: D. Kamenetskiı̆ & S. Tsynkov

Source: ORCID
Added: September 6, 2019

1989 journal article

Construction of kinetically consistent difference schemes on curvilinear grids

Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (8), 24.

By: T. Elizarova, S. Tsynkov & B. Chetverushkin

Source: ORCID
Added: September 6, 2019

Employment

North Carolina State University Raleigh, NC, US

Education

Moscow Institute of Physics and Technology Dolgoprudnyy, RU

Russian Academy of Sciences Moscow, RU