Semyon Victor 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 (161)

Updated: February 16th, 2024 05:01

2024 journal article

Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials

JOURNAL OF COMPUTATIONAL PHYSICS, 498.

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

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Maxwell's equations; CAD surface with piece-wise parameterization; Calderon's boundary equations with projections; High-order compact schemes on Cartesian grids; Non-conforming scattering shapes; Huygens' principle
Sources: Web Of Science, ORCID
Added: February 12, 2024

2024 journal article

Modeling the Earth's Ionosphere by a Phase Screen for the Analysis of Transionospheric SAR Imaging

IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 62.

By: M. Gilman n & S. Tsynkov n 

co-author countries: United States of America 🇺🇸
author keywords: Ionosphere; phase correction; phase screen; synthetic aperture radar (SAR)
Sources: Web Of Science, ORCID
Added: January 16, 2024

2023 journal article

Vertical autofocus for the phase screen in a turbulent ionosphere

INVERSE PROBLEMS, 39(4).

By: M. Gilman n & S. Tsynkov n 

co-author countries: United States of America 🇺🇸
author keywords: spaceborne synthetic aperture radar; coherent interferometric (CINT) imaging; phase screen elevation
Sources: Web Of Science, ORCID
Added: March 27, 2023

2022 journal article

3D time-dependent scattering about complex shapes using high order difference potentials

JOURNAL OF COMPUTATIONAL PHYSICS, 471.

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

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Unsteady acoustic waves; CAD surface with patched parameterization; High order splines (NURBS); Calderon?s boundary equations; Huygens? principle; High-order compact schemes on Cartesian grids
Sources: Web Of Science, ORCID
Added: November 7, 2022

2022 journal article

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.

By: A. Kahana *, F. Smith n, E. Turkel * & S. Tsynkov n 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Compact finite differences; Absorbing boundary layer; Unbounded domain; High-order accuracy; Wave equation
Sources: Web Of Science, ORCID
Added: May 31, 2022

2022 article

High-order accurate numerical simulation of monochromatic waves in photonic crystal ring resonators with the help of a non-iterative domain decomposition

North, E., Tsynkov, S., & Turkel, E. (2022, November 20). JOURNAL OF COMPUTATIONAL ELECTRONICS, Vol. 11.

By: E. North n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Scattering rods; Periodic lattice; Helmholtz equation; Method of difference potentials; Exact coupling between non-overlapping subdomains; High-order accurate compact finite difference schemes
Sources: Web Of Science, ORCID
Added: December 5, 2022

2022 journal article

Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities

APPLIED NUMERICAL MATHEMATICS, 173, 51–78.

By: E. North n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Time-harmonic waves; Non-overlapping domain decomposition; Calderon's operators; Difference potentials; Exact coupling between subdomains; High-order accuracy; Spectral representation at the boundary; Compact finite difference schemes; Direct solution; Complexity bounds; Discontinuous coefficients; Interior cross-points
Sources: Web Of Science, ORCID
Added: July 11, 2022

2022 journal article

Polarimetric radar interferometry in the presence of differential Faraday rotation

INVERSE PROBLEMS, 38(4).

By: M. Gilman* & S. Tsynkov* 

author keywords: synthetic aperture radar; ionosphere; differential Faraday rotation; polarimetric radar interferometry
Sources: Web Of Science, ORCID
Added: March 28, 2022

2021 article

A MATHEMATICAL PERSPECTIVE ON RADAR INTERFEROMETRY

Gilman, M., & Tsynkov, S. (2021, July). INVERSE PROBLEMS AND IMAGING, Vol. 7.

By: M. Gilman* & S. Tsynkov* 

author keywords: Inverse scattering; synthetic aperture radar (SAR); interferogram; phase difference; height retrieval; imaging operator; point scatterer; extended scatterer; coherence
Sources: Web Of Science, ORCID
Added: November 23, 2021

2021 journal article

Deep Learning Approach to the Detection of Scattering Delay in Radar Images

JOURNAL OF STATISTICAL THEORY AND PRACTICE, 15(1).

By: J. Lagergren n, K. Flores n, M. Gilman n & S. Tsynkov n 

co-author countries: United States of America 🇺🇸
author keywords: Radar imaging; Dispersive targets; Classification; Convolutional neural network
Sources: Web Of Science, ORCID
Added: January 4, 2021

2021 journal article

Divergence Measures and Detection Performance for Dispersive Targets in SAR

RADIO SCIENCE, 56(1).

By: M. Gilman n & S. Tsynkov n 

co-author countries: United States of America 🇺🇸
author keywords: synthetic aperture radar; dispersive target; speckle; misclassification frequency; Hellinger distance
Sources: Web Of Science, ORCID
Added: February 22, 2021

2021 article

Numerical Solution of 3D Unsteady Scattering Problems with Sub-linear Complexity

2021 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM (ACES).

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

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: method of difference potentials; Huygens' principle; 3D wave equation
Sources: Web Of Science, ORCID
Added: December 20, 2021

2021 journal article

Solution of three-dimensional multiple scattering problems by the method of difference potentials

WAVE MOTION, 107.

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

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Time-harmonic waves; Unbounded domain; Helmholtz equation; Finite differences; High-order accuracy; Scattering objects; Cartesian grid; Non-conforming boundary; Artificial outer boundary; BGT radiation condition
Sources: Web Of Science, ORCID
Added: August 31, 2021

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 n 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: method of difference potentials; Huygens principle; lacunas; wave equation
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* 

author keywords: SAR imaging; scattering delay; speckle; confidence level; Monte-Carlo
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. https://stsynkov.math.ncsu.edu/publications/Unsteady_DPM_waves2019_v6.pdf

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. https://stsynkov.math.ncsu.edu/publications/a82e_godunov90.pdf

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  n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Unsteady wave propagation; Fourth order accurate approximation; Small stencil; Cartesian grid; Implicit scheme; Multigrid methods
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* 

author keywords: delayed scattering; dispersive targets; synthetic aperture radar; speckle; range-delay ambiguity
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 n , S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Propagation of waves over unbounded regions; Helmholtz equation; Spherical artificial boundary; Expansion with respect to continuous basis; Method of difference potentials (MDP); Beltrami operator
Sources: Web Of Science, ORCID, Crossref
Added: December 10, 2018

2019 journal article

Preface to the Special Issue in Memory of Professor Saul Abarbanel

Journal of Scientific Computing.

Semyon Tsynkov; Alina Chertock

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. https://stsynkov.math.ncsu.edu/publications/Dispersive_targets_Waves2019_v3_final.pdf

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 n 

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Compact finite differences; Wave equation; Variable coefficients; High order accuracy
Sources: Web Of Science, 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 n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Time-dependent wave equation; Calderon's boundary equation; The Huygens' principle; Method of difference potentials (MDP); Sub-linear complexity; Parallelization in time
Sources: Crossref, ORCID, Web Of Science
Added: August 6, 2018

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  n & S. Tsynkov n 

co-author countries: United States of America 🇺🇸

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* 

author keywords: inverse scattering; scattering matrix; gyrotropy; electromagnetic waves; polarization; rotation of polarization plane; radar signal bandwidth; radar ambiguity theory; polarimetric matched filter; Earth's ionosphere; magnetic field of the Earth
Sources: Web Of Science, 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 n  & E. Turkel *

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Method of difference potentials (MDP); Compact finite difference scheme; Implicit scheme; Regular structured grid; Nonconforming boundary; High-order accuracy; High-order MDP
Sources: Web Of Science, 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. https://stsynkov.math.ncsu.edu/publications/wavesPetropTsynkov_v3.pdf

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. https://stsynkov.math.ncsu.edu/publications/OsTsy_4.pdf

By: M. Osintcev & S. Tsynkov 

Source: ORCID
Added: September 6, 2019

2017 article

Conventional SAR imaging

TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 19–57.

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

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, 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. https://stsynkov.math.ncsu.edu/publications/waves2017_Steven_v4.pdf

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. https://stsynkov.math.ncsu.edu/publications/waves2017_Steven_v4.pdf

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 n, S. Petropavlovsky n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Singularity subtraction; Regularization; Asymptotic expansion near singularity; Difference potentials; Curvilinear boundaries; Compact differencing
Sources: Web Of Science, 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 n & S. Tsynkov n 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸

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: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2017 article

Modeling radar targets beyond the first Born approximation

TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 311–371.

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

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, 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 n & S. Tsynkov n 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Unsteady electromagnetic waves; Maxwell's equations; Unbounded regions; Grid truncation; Artificial outer boundaries; Artificial boundary conditions (ABCs); Non-reflecting boundaries; Perfectly matched layer (PML); Long time deterioration; Loss of accuracy, loss of stability, error build-up; The Huygens' principle; Aft fronts of the waves; Lacunae of the solutions; Quasi-lacunae; Accumulation of charge; Guaranteed accuracy; Temporally uniform error bounds
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2017 article

SAR imaging through the Earth's ionosphere

TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 59–161.

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

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, 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. https://stsynkov.math.ncsu.edu/publications/waves_2017_Doppler_v3.pdf

By: M. Gilman & S. Tsynkov 

Source: ORCID
Added: September 6, 2019

2017 article

The effect of ionospheric anisotropy

TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 217–264.

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

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 article

The effect of ionospheric turbulence

TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 163–215.

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

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 article

The start-stop approximation

TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 265–309.

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

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 book

Transionospheric Synthetic Aperture Imaging

In Applied and Numerical Harmonic Analysis (pp. 1–1).

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

co-author countries: United States of America 🇺🇸

Event: at Cham, Switzerland

Sources: Web Of Science, 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 n , S. Petropavlovskiy n, M. Osintcev n, U. Shumlak *, W. Henshaw*

co-author countries: United States of America 🇺🇸

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: Web Of Science, 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. https://stsynkov.math.ncsu.edu/publications/icosahomAbstract2016.pdf

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 n  & E. Turkel *

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Difference potentials; Boundary projections; Calderon's operators; Curvilinear boundaries; High order compact differencing; Multiple scattering
Sources: Web Of Science, ORCID, Crossref
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* 

author keywords: synthetic aperture imaging; SAR ambiguity theory; linearized scattering; linearized inverse problem; backscattering; Bragg resonance; weak scattering; strong scattering
Sources: Web Of Science, ORCID, Crossref
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 n, S. Petropavlovsky n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Difference potentials; Boundary projections; Calderon's operators; Regular grids; Curvilinear boundaries; Non-conforming boundaries; Solutions with singularities; Singularity subtraction; Discontinuous boundary data; Asymptotic expansion near singularity; Compact differencing; High order accuracy
Sources: Web Of Science, 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). https://stsynkov.math.ncsu.edu/publications/Waves2015-book-of-abstracts.pdf

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. https://stsynkov.math.ncsu.edu/publications/eusar-2014.pdf

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 n, E. Smith n & S. Tsynkov n 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: magnetic field of the Earth; anisotropic ionosphere; propagation of radio waves through gyrotropic plasma; deterioration of radar image; image autocorrelation analysis; evaluation of Faraday rotation effect; correction of the matched filter
Sources: Web Of Science, 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

author keywords: difference potentials; boundary projections; Calderon's operators; regular grids; curvilinear boundaries; boundary value problems; variable coefficients; Robin boundary conditions; mixed/piecewise boundary conditions; compact differencing; high-order accuracy
Sources: Web Of Science, 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 n 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Helmholtz equation; Compact high order schemes; Variable wave number; High frequency; Large wave number; Parallel computing; CARP-CG
Sources: Web Of Science, 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 n 

co-author countries: United States of America 🇺🇸
author keywords: Field reversed configuration (FRC); Single fluid magnetohydrodynamics (MHD); Quasi-static magnetic field; Artificial boundary condition (ABC); The method of difference potentials; Calderon's potentials and projections; Boundary equations with projections
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). https://stsynkov.math.ncsu.edu/publications/Tsynkov_abstract_for_Ryabenkii-90.pdf

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 n , S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Difference potentials; Boundary projections; Calderon's operators; Regular grids; Curvilinear boundaries; Non-conforming boundaries/interfaces; Variable coefficients; Compact differencing; High order accuracy; Exterior problems; Artificial boundary conditions
Sources: Web Of Science, ORCID, Crossref
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 n, E. Smith n & S. Tsynkov n 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, 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 n 

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, 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 n 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Propagation of unsteady electromagnetic waves; The Huygens' principle; Aft fronts; Accumulation of charge; Electrostatic field; Numerical solution; Long-time computations; Artificial boundary conditions (ABCs); Perfectly matched layers (PMLs); Uniform error bound
Sources: Web Of Science, 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 n , S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: September 8, 2020

2012 journal article

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

Journal of Scientific Computing, 53(1), 150–193.

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

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Difference potentials; Boundary projections; Calderon's operators; Regular grids; Curvilinear boundaries; Variable coefficients; Compact differencing; High order accuracy
Sources: Web Of Science, ORCID, Crossref
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* 

author keywords: synthetic aperture radar; Earth's ionosphere; dispersion of radio waves; image distortions; cold plasma; matched filter; multicarrier probing; correction of the filter; range and azimuthal resolution; image sharpness
Sources: Web Of Science, 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). https://stsynkov.math.ncsu.edu/publications/a66e_waves11.pdf

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 n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Helmholtz equation; variable coefficients; high order accuracy; compact finite differences
Sources: Web Of Science, 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* 

author keywords: waves propagation; unsteadiness; Huygens' principle; odd-dimension spaces; aft fronts; accumulation of charge; electrostatic solution
Sources: Web Of Science, 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 n, S. Tsynkov n  & E. Turkel *

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Helmholtz equation; Variable coefficients; Polar coordinates; High order accuracy; Compact finite differences; Exact artificial boundary condition (ABC)
Sources: Web Of Science, 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* 

author keywords: Nonlinear optics; Kerr nonlinearity; Inhomogeneous medium; Material discontinuities; Discontinuous coefficients; Layered medium; Nonparaxiality; Forward scattering; Backscattering; (Narrow) solitons; Paraxial approximation; Nonlinear Schrodinger equation; Arrest of collapse; Finite-difference approximation; Compact scheme; High-order method; Artificial boundary conditions (ABCs); Two-way ABCs; Traveling waves; Complex valued solutions; Frechet differentiability; Newton's method
Sources: Web Of Science, 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 n  & S. Utyuzhnikov *

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Inverse source problem; Active shielding; Calderon's projections; Difference potentials
Sources: Web Of Science, 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 n 

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, 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 n 

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 Russian Federation 🇷🇺 United States of America 🇺🇸
Sources: Web Of Science, 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. http://global-sci.org/intro/article_detail/cicp/7742.html

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 n 

co-author countries: Germany 🇩🇪 Israel 🇮🇱 United States of America 🇺🇸
author keywords: Perfectly matched layer (PML); Long-time growth; Wave propagation; Maxwell's equations; Numerical solution; Second order approximation; Yee scheme; Leap-frog scheme; Lax-Wendroff scheme; Central difference/Runge-Kutta scheme; Yee/Runge-Kutta scheme
Sources: Web Of Science, 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). https://stsynkov.math.ncsu.edu/publications/a54e_waves09-abstract.pdf

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). https://stsynkov.math.ncsu.edu/publications/a54e_godunov80.pdf

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* 

author keywords: synthetic aperture radar (SAR); spaceborne radar; ionosphere; dispersion of electromagnetic waves; cold plasma; ionospheric distortions; turbulent fluctuations; geometrical optics; refraction index; range and azimuthal resolution; scattering
Sources: Web Of Science, 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). https://stsynkov.math.ncsu.edu/publications/a52e_waves09-abstract.pdf

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* 

author keywords: synthetic aperture radar (SAR); spaceborne SAR imaging; high-speed motion; start-stop approximation; Doppler effect; Lorentz transform; displacement of the antenna; range and azimuthal resolution; image sharpness (contrast)
Sources: Web Of Science, 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 n & S. Tsynkov n 

co-author countries: United States of America 🇺🇸
author keywords: perfectly matched layer (PML); long-time stability; weak well-posedness; wave propagation; hyperbolicity; the Huygens' principle; Lacunae; Maxwell's equations; artificial boundary conditions (ABCs); numerical solution
Sources: Web Of Science, 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* 

MeSH headings : Light; Lighting / methods; Models, Theoretical; Nonlinear Dynamics; Scattering, Radiation
Sources: Web Of Science, 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* 

author keywords: active shielding; noise control; inverse source problem; time-harmonic acoustic fields; composite domain; communication pattern; the Helmholtz equation; generalized Calderon's potentials; exact volumetric cancellation; general solution; incoming and outgoing waves; wave split
Sources: Web Of Science, ORCID, Crossref
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). https://stsynkov.math.ncsu.edu/publications/Waves_2007_proceedings.pdf

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 n 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Kerr nonlinearity; nonlinear optics; inhomogeneous medium; discontinuous coefficients; finite volume discretization; C mpact scheme; high-order method; artificial boundary conditions (ABCs); two-way ABCs; traveling waves; complex valued solutior; Frechet differentiability; Newton's method
Sources: Web Of Science, 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 n 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Kerr media; diffraction; nonparaxiality; nonlinear self-focusing; backscattering; critical and subcritical nonlinearity; fourth-order approximation; iterative solution; separation of variables; nonlocal artificial boundary conditions (ABCs); Sominerfeld radiation boundary conditions; Green's function; convolution; cylindrical symmetry
Sources: Web Of Science, 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 n  & S. Utyuzhnikov *

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: multiply connected domain; inverse source; active shielding; control of sound; Calderon's projection; difference potentials method
Sources: Web Of Science, 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). https://stsynkov.math.ncsu.edu/publications/Waves_2007_proceedings.pdf

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). https://stsynkov.math.ncsu.edu/publications/a43e5.crsc.pdf

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* 

author keywords: Huygens' principle; wave diffusion; aftereffects; aft fronts; lacunae; ionospheric propagation; isotropic plasma; Langmuir frequency; cold plasma; transverse waves; Maxwell equations; Klein-Gordon equation; weak dispersion; short waves; external magnetic field; cyclotron frequency; gyrotropy; Faraday rotation
Sources: Web Of Science, ORCID, Crossref
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. https://stsynkov.math.ncsu.edu/publications/a45r.pdf

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 n 

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 Russian Federation 🇷🇺 United States of America 🇺🇸
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 n 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Kerr media; intense laser light; diffraction; nonparaxiality; nonlinear self-focusing; backscattering; critical and subcritical nonlinearity; solitary waves; counter-propagation; fourth-order approximation; iterative solution; separation of variables; nonlocal artificial boundary conditions (ABCs); Sommerfeld radiation boundary conditions
Sources: Web Of Science, 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 n 

co-author countries: United States of America 🇺🇸
author keywords: noise cancellation; active control sources; volumetric and surface controls; general solution; monopoles and dipoles; radiation of waves; complex-valued quantities; L-2-minimization; overdetermined systems; least squares; unconstrained minimization; constrained minimization
Sources: Web Of Science, 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 n 

co-author countries: United States of America 🇺🇸
author keywords: electromagnetic waves; continuity equation; solenoidal currents; partition of unity; unsteady propagation; unbounded domains; truncation; finite computational domain; sharp aft fronts; Huygens' principle; non-deteriorating method; long-term numerical integration
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 n 

co-author countries: United States of America 🇺🇸
author keywords: noise cancellation; active control sources; volumetric and surface controls; general solution; monopoles and dipoles; radiation of waves; complex-valued quantities; load on the sources by the field; net power gain
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2003 journal article

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

By: S. Tsynkov n 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: linear differential operator; discontinuous solution; distribution; monopole; dipole; fundamental solution; convolution; boundary integral; single- and double-layer potentials; surface density of the potential; linear difference operator; multi-layer grid boundary; discontinuous grid function; discrete monopole and dipole layers; Calderon's potential; difference potential
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2003 report

Artificial Boundary Conditions for the Numerical Simulation of Unsteady Electromagnetic Waves

(No. CRSC–TR03–19). https://stsynkov.math.ncsu.edu/publications/a34p.ncsu.pdf

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 n 

co-author countries: United States of America 🇺🇸
author keywords: time-dependent sound waves; unbounded domains; lacunae; non-deteriorating method; long-term computation; limited temporal non-locality
Sources: Web Of Science, 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* 

co-author countries: Israel 🇮🇱
author keywords: Kerr medium; nonlinear wave propagation; self-focusing; singularity formation; linear damping; limiting absorption; two-way ABCs
Sources: Web Of Science, 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). https://stsynkov.math.ncsu.edu/publications/waves2003p.pdf

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 n 

co-author countries: United States of America 🇺🇸
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* 

author keywords: noise cancellation; control sources; minimization of amplitude; volume velocity; surface monopoles
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2002 report

A Future Role of Numerical and Applied Mathematics in Material Sciences

(No. 40, NASA/CR–2002–211453). https://apps.dtic.mil/dtic/tr/fulltext/u2/a402142.pdf

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 n 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
author keywords: Kerr medium; wave propagation; self focusing; fourth-order method; two-way ABCs
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*

co-author countries: Russian Federation 🇷🇺

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* 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
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* 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸
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). https://stsynkov.math.ncsu.edu/publications/a24e7.pdf

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* 

author keywords: active shielding; noise control; time-harmonic acoustic fields; the Helmholtz equation; generalized Calderon's potentials; exact volumetric cancellation; general solution; incoming and outgoing waves; near surface control sources; spatial anisotropies; material discontinuities; optimization; Bessel functions
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*

co-author countries: Russian Federation 🇷🇺
author keywords: artificial boundary conditions; wave propagation; lacunae; nondeteriorating method
Sources: Web Of Science, ORCID, Crossref
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* 

author keywords: artificial boundary conditions (ABCs); two-way ABCs; radiation; Helmholtz equation; nonlinearity; nonparaxiality; fourth-order schemes; self-focusing; backscattering
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*

co-author countries: Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: wave equation; lacunae; finite-difference approximation; explicit numerical integration; arbitrarily long time intervals; non-accumulation of error; temporally uniform grid convergence; fixed expenses per time step
Sources: Web Of Science, ORCID, Crossref
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*

co-author countries: United States of America 🇺🇸
Sources: ORCID, Crossref
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. https://mathscinet.ams.org/mathscinet-getitem?mr=1833776

Semyon Tsynkov

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* 

author keywords: external flows; infinite-domain problems; artificial boundary conditions; far-field linearization; boundary projections; generalized potentials; difference potentials method; auxiliary problem; separation of variables
Sources: Crossref, ORCID
Added: June 30, 2019

1999 conference paper

Global artificial boundary conditions for computation of external flow problems with propulsive jets

14th Computational Fluid Dynamics Conference, 2, 836–846.

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

co-author countries: United States of America 🇺🇸

Event: 14th Computational Fluid Dynamics Conference

Sources: ORCID, Crossref
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). https://ntrs.nasa.gov/search.jsp?R=19990062251

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1761052

Semyon Tsynkov

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* 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸

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* 

co-author countries: United States of America 🇺🇸
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*

co-author countries: United States of America 🇺🇸
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* 

co-author countries: Israel 🇮🇱
author keywords: infinite-domain problems; artificial boundary conditions; pseudodifferential equations; difference potentials method; auxiliary problem; boundary equations with projections
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* 

co-author countries: Israel 🇮🇱 United States of America 🇺🇸

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* 

author keywords: oscillating flows; artificial boundary conditions; boundary equations with projections; auxiliary problem; difference potentials method
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). https://ntrs.nasa.gov/search.jsp?R=19960045440

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1444877

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*

co-author countries: Israel 🇮🇱
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). https://www.tib.eu/en/search/id/BLCP%3ACN017470620/Nonlocal-Artificial-Boundary-Conditions-for-Computation/

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* 

co-author countries: Israel 🇮🇱
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* 

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
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* 

author keywords: ARTIFICIAL BOUNDARY CONDITIONS; BOUNDARY EQUATIONS WITH PROJECTIONS; AUXILIARY PROBLEM; DIFFERENCE POTENTIALS METHOD
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). https://www.tib.eu/en/search/id/TIBKAT%3A228255147/A-collection-of-technical-papers-Sixth-International/

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* 

co-author countries: United States of America 🇺🇸

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).

Semyon Tsynkov

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).

Semyon 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. I

Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, (40), 25. https://mathscinet.ams.org/mathscinet-getitem?mr=1156343

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1156344

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1278545

Semyon Tsynkov

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1278546

Semyon Tsynkov

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1127501

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1120837

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1086442

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1157869

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1019147

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

Source: ORCID
Added: September 6, 2019

Employment

Updated: September 3rd, 2019 12:47

North Carolina State University Raleigh, NC, US

Education

Updated: December 10th, 2019 21:13

Russian Academy of Sciences Moscow, RU

Moscow Institute of Physics and Technology Dolgoprudnyy, RU

Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.

Certain data included herein are derived from the Web of Science© and InCites© (2024) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.