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

Updated: April 11th, 2023 10:13

2023 journal article

Vertical autofocus for the phase screen in a turbulent ionosphere

*INVERSE PROBLEMS*, *39*(4).

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*.

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*.

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.

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.

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).

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.

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).

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).

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)*.

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*.

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.

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.

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

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

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.

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).

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.

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*.

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

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.

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.

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.

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.

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.

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

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

Source: ORCID

Added: September 6, 2019

2017 article

Conventional SAR imaging

*TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING*, pp. 19–57.

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

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.

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.

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: 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.

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.

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.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2017 conference paper

The Doppler Effect for SAR

Source: ORCID

Added: September 6, 2019

2017 article

The effect of ionospheric anisotropy

*TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING*, pp. 217–264.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2017 article

The effect of ionospheric turbulence

*TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING*, pp. 163–215.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2017 article

The start-stop approximation

*TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING*, pp. 265–309.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2017 book

Transionospheric Synthetic Aperture Imaging

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

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.

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: 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

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.

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.

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.

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.

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

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

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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: 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.

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

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.

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

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

Source: ORCID

Added: September 6, 2019

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

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 SAR Imaging through the Earth's Ionosphere

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

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 journal article

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

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

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.

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).

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: 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.

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

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.

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.

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.

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

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

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.

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).

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

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.

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.

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.

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.

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.

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.

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

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.

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.

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

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.

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

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.

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).

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). https://stsynkov.math.ncsu.edu/publications/a24e7.pdf

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.

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.

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.

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.

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.

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1833776

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.

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.

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

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

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.

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).

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.

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

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

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). https://www.tib.eu/en/search/id/BLCP%3ACN017470620/Nonlocal-Artificial-Boundary-Conditions-for-Computation/

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.

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/

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. https://mathscinet.ams.org/mathscinet-getitem?mr=1156343

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

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

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

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

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

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

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

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

Source: ORCID

Added: September 6, 2019

Updated: September 3rd, 2019 12:47

Updated: December 10th, 2019 21:13