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

2022 journal article

Polarimetric radar interferometry in the presence of differential Faraday rotation

*INVERSE PROBLEMS*, *4*.

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.

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).

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).

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)*.

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*, *12*.

Sources: Web Of Science, ORCID

Added: October 4, 2021

2020 journal article

Method of Difference Potentials for Evolution Equations with Lacunas

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

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.

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.

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.

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.

Sources: Crossref, ORCID

Added: June 21, 2019

2019 journal article

Detection of delayed target response in SAR

*Inverse Problems*, *4*, 085005 (38pp).

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.

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.

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.

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.

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.

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.

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.

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.

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.

Source: ORCID

Added: September 6, 2019

2017 journal article

Conventional SAR imaging

*Transionospheric Synthetic Aperture Imaging*, 19–57.

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.

Source: ORCID

Added: September 6, 2019

2017 conference paper

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

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.

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.

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.).

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.

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.

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.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2017 conference paper

The Doppler Effect for SAR

Source: ORCID

Added: September 6, 2019

2017 journal article

The effect of ionospheric anisotropy

*Transionospheric Synthetic Aperture Imaging*, 217–264.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2017 journal article

The effect of ionospheric turbulence

*Transionospheric Synthetic Aperture Imaging*, 163–215.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2017 journal article

The start-stop approximation

*Transionospheric Synthetic Aperture Imaging*, 265–309.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2017 book

Transionospheric Synthetic Aperture Imaging

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

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.

Source: NC State University Libraries

Added: August 6, 2018

2017 journal article

Transionospheric synthetic aperture imaging Introduction

*Transionospheric Synthetic Aperture Imaging*, 1–17.

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.).

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*.

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.

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.

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.

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.

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).

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.

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.

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.

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.

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.

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.

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.

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).

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.

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.

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.

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.

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.

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.

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.

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).

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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).

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).

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.

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).

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.

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.

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).

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.

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.

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).

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.

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.

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.

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).

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.

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.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 6, 2018

2006 book

A Theoretical Introduction to Numerical Analysis

(p. xiv+537).

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.

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.

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.

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.

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.

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.

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.

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.

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.

Sources: NC State University Libraries, ORCID, Crossref

Added: August 6, 2018

2003 journal article

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

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.

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.

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.

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.

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).

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.

Sources: NC State University Libraries, 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). Hampton, VA: ICASE.

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.

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).

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.

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.

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.

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.

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.

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.

Sources: NC State University Libraries, 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.

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.

Sources: NC State University Libraries, 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.

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.

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.

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.

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.

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). Hampton, VA: ICASE.

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.

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).

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).

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.

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.

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).

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.

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.

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.

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.

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.

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.

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.

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.

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.

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).

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.

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.

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.

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.

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.

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.

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).

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.

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.

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.

Source: ORCID

Added: September 6, 2019