Semyon Victor Tsynkov
Also known as: Semyon V. Tsynkov; S. Tsynkov; S. V. Tsynkov
Numerical analysis, Scientific computing, Applied mathematics, Computational physics, Optics, Electromagnetism, Plasma, Inverse problems, Control, Remote sensing, Radar imaging, Ionosphere, Geophysics, Partial differential equations
Works (164)
Updated: October 30th, 2024 08:35
2024 journal article
Fourth-Order Accurate Compact Scheme for First-Order Maxwell's Equations
JOURNAL OF SCIENTIFIC COMPUTING, 100(2).
author keywords: Compact finite differences; Maxwell's equations; High order accuracy; Bounded domain
open access via link.springer.com (publisher PDF)
Sources: Web Of Science, NC State University Libraries
Added: July 1, 2024
2023 journal article
Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials
JOURNAL OF COMPUTATIONAL PHYSICS, 498.
author keywords: Maxwell's equations; CAD surface with piece-wise parameterization; Calderon's boundary equations with projections; High-order compact schemes on Cartesian grids; Non-conforming scattering shapes; Huygens' principle
Sources: Web Of Science, NC State University Libraries
Added: February 12, 2024
2023 journal article
Modeling the Earth's Ionosphere by a Phase Screen for the Analysis of Transionospheric SAR Imaging
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 62.
author keywords: Ionosphere; phase correction; phase screen; synthetic aperture radar (SAR)
Sources: Web Of Science, NC State University Libraries
Added: January 16, 2024
2023 journal article
Transionospheric Autofocus for Synthetic Aperture Radar
SIAM JOURNAL ON IMAGING SCIENCES, 16(4), 2144–2174.
author keywords: synthetic aperture radar; ionosphere; autofocus; optimization
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: February 26, 2024
2023 article
Transionospheric Autofocus for Synthetic Aperture Radar
2023 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS, ICEAA, pp. 24–24.
Sources: Web Of Science, NC State University Libraries
Added: April 8, 2024
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, NC State University Libraries
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
UN Sustainable Development Goal Categories
14. Life Below Water
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
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
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
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, NC State University Libraries
Added: December 5, 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, NC State University Libraries
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, NC State University Libraries
Added: November 23, 2021
2021 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, NC State University Libraries
Added: July 11, 2022
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
TL;DR:
An efficient high order accurate boundary algorithm for the numerical solution of unsteady exterior initial boundary problems for the three-dimensional wave equation using the method of difference potentials combined with the Huygens' principle is presented.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
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, NC State University Libraries, ORCID
Added: August 31, 2021
2020 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
TL;DR:
A convolutional neural network is applied to the problem of discrimination between the instantaneous and delayed targets in synthetic aperture radar images, and a trained neural network demonstrates the discrimination quality commensurate with that of the benchmark maximum likelihood-based classifier.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: January 4, 2021
2020 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
TL;DR:
A linear relation is established between the misclassification rate and the Hellinger distance for a certain class of simple target models and this relation allows us to make predictions of the error rate without performing the Monte Carlo simulations.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: February 22, 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, NC State University Libraries
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
TL;DR:
A maximum likelihood based approach for discriminating between the instantaneous and delayed targets in SAR images that takes into account the difference in thresholds for different target contrasts without making any assumptions about the statistics of those contrasts.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
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
TL;DR:
A family of compact fourth order accurate finite difference schemes for the three dimensional scalar wave (d’Alembert) equation with constant or variable propagation speed with inversion at the upper time level is constructed.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, 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
TL;DR:
A simple model of a delayed scatterer is developed by modifying the random function that describes a homogeneous extended scatterers to obtain a relation between the deterministic parameters of the target model and statistical moments of the SAR image.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, ORCID
Added: June 21, 2019
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
TL;DR:
This work considers fourth order accurate compact schemes, in both space and time, for the second order wave equation with a variable speed of sound, and demonstrates that usually this is much more efficient than lower order schemes despite being implicit and only conditionally stable.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, 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.
author keywords: Time-dependent wave equation; Calderon's boundary equation; The Huygens' principle; Method of difference potentials (MDP); Sub-linear complexity; Parallelization in time
TL;DR:
The Huygens' principle is used to obtain the operator equation in a form that involves only finite and non-increasing pre-history of the solution in time, and the resulting boundary equation is solved efficiently by the method of difference potentials (MDP).
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Sources: Crossref, NC State University Libraries, 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, NC State University Libraries
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
TL;DR:
The propagation of linearly polarized electromagnetic waves through the Earth's ionosphere is accompanied by Faraday rotation (FR), which is due to gyrotropy of the ionospheric plasma in the magnet.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2018 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
TL;DR:
This paper implements high order Bayliss–Turkel ABCs directly — with no auxiliary variables yet no discrete approximation of the constituent high order derivatives either and represents the solution at the boundary as an expansion with respect to a continuous basis.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: December 10, 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.
TL;DR:
This chapter explains the fundamental principles of SAR data collection and image formation, i.e., inversion of the received data, which can be categorized as a coherent imaging technology.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
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
Mathematical and Numerical Aspects of Wave Propagation WAVES 2017, The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017. Book of Abstracts, 367–368. https://stsynkov.math.ncsu.edu/publications/waves2017_Steven_v4.pdf
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, 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: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2017 article
Modeling radar targets beyond the first Born approximation
TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 311–371.
TL;DR:
This chapter returns to the foundations of the SAR ambiguity theory that was presented in Chapter 2, and addresses the inconsistencies of the conventional approach outlined in Section 2.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
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
TL;DR:
The main contribution of the current paper is to remove this limitation and modify the algorithm in such a way that one can rather avoid the accumulation of charge all together, which facilitates obtaining the temporally uniform error estimates as in the case of classical lacunae.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2017 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
TL;DR:
This work solves the wave equation with variable wave speed on nonconforming domains with fourth order accuracy in both space and time using an implicit finite difference scheme and solving an elliptic equation at each time step by the method of difference potentials (MDP).
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, 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, NC State University Libraries
Added: August 6, 2018
2017 conference paper
The Doppler Effect for SAR
Mathematical and Numerical Aspects of Wave Propagation WAVES 2017, The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017. Book of Abstracts, 369–370. https://stsynkov.math.ncsu.edu/publications/waves_2017_Doppler_v3.pdf
Source: ORCID
Added: September 6, 2019
2017 article
The effect of ionospheric anisotropy
TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 217–264.
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2017 article
The effect of ionospheric turbulence
TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 163–215.
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2017 article
The start-stop approximation
TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 265–309.
TL;DR:
For the analysis of the SAR data inversion algorithm, the start-stop approximation is employed, which is considered standard in the literature and assumes that the radar antenna is at standstill while it sends the interrogating pulse toward the target and receives the scattered response.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2017 book
Transionospheric Synthetic Aperture Imaging
In Applied and Numerical Harmonic Analysis (pp. 1–1).
Event: at Cham, Switzerland
UN Sustainable Development Goal Categories
13. Climate Action
(OpenAlex)
Sources: Web Of Science, Crossref, NC State University Libraries, 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
TL;DR:
A developed universal algorithm and software that corrects the long-time deterioration regardless of its origin and how it manifests itself by employing the Huygens’ principle and lacunae of Maxwell's equations.
(via Semantic Scholar)
Sources: Web Of Science, 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. https://stsynkov.math.ncsu.edu/publications/icosahomAbstract2016.pdf
Source: ORCID
Added: September 6, 2019
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
TL;DR:
The foundations of the SAR ambiguity theory are revisited in order to address this and other existing inconsistencies, such as the absence of the Bragg scale in scattering, and a new model for radar targets that allows to compute the scattered field from first principles.
(via Semantic Scholar)
Sources: Web Of Science, 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, NC State University Libraries, ORCID
Added: June 30, 2019
2015 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, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
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, NC State University Libraries
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, NC State University Libraries, ORCID
Added: June 30, 2019
2014 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
TL;DR:
A broad spectrum of problems involving different boundary conditions and/or data on "smooth" segments of the boundary can be solved economically since the discrete counterparts of Calderon's projections need to be calculated only once and then can be applied to each individual formulation at very little additional cost.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
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, 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.
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
TL;DR:
The approach combines compact finite difference schemes that provide an inexpensive venue toward high-order accuracy with the method of difference potentials developed by Ryaben'kii, introducing a universal framework for treating boundary conditions of any type.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
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
TL;DR:
The method of difference potentials generalizes the method of Calderon’s operators from PDEs to arbitrary difference equations and systems and solves the scattering of time-harmonic waves about smooth shapes, subject to various boundary conditions.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, 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, 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.
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2012 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
TL;DR:
This paper extends compact fourth order accurate finite difference approximation for the Helmholtz equation to variable k in both two and three dimensions and demonstrates that for large wave numbers, the second order scheme cannot produce comparable results with reasonable grid sizes.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2012 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
TL;DR:
A quasi-static ABC for the magnetic field is obtained in the form of a discrete Calderon boundary equation with projection on the artificial boundary shaped as a parallelepiped, computed by convolution with the discrete fundamental solution on the three-dimensional Cartesian grid.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, ORCID
Added: June 30, 2019
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, NC State University Libraries
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, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2011 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
TL;DR:
This work proposes a universal algorithm that relies on the Huygens' principle in the generalized form, when a non-zero electrostatic solution can be present behind aft fronts of the propagating waves, i.e., inside the lacunae of Maxwell's equations.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, 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
TL;DR:
This work concludes that the deterioration of SAR images was due to the mismatch between certain parameters of the actual received signal, which is slowed down by the temporal dispersion in the ionosphere, and the corresponding parameter of the matched filter, which was taken as if the propagation were unobstructed.
(via Semantic Scholar)
Sources: Web Of Science, 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). 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
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
TL;DR:
It is shown that the notion of classical lacunae can be generalized, and that even when the steady-state charges are present, the waves still have sharp aft fronts, and there is a nonzero electrostatic solution rather than one identically zero.
(via Semantic Scholar)
Sources: Web Of Science, 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.
author keywords: Helmholtz equation; Variable coefficients; Polar coordinates; High order accuracy; Compact finite differences; Exact artificial boundary condition (ABC)
TL;DR:
This work develops a new compact scheme that is provably fourth order accurate even for scattering problems and presents numerical results that corroborate the fourth order convergence rate for several scattering problems.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2010 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, 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.
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
TL;DR:
The first ever evidence that the singularity of the solution indeed disappears in the scalar NLH model that includes the nonparaxial effects is provided, which enables simulation of the wavelength-width spatialsolitons, as well as of the counter-propagating solitons.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, 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.
author keywords: Inverse source problem; Active shielding; Calderon's projections; Difference potentials
TL;DR:
A general solution for controls in the continuous and discrete setting is presented by adding special control sources defined only at the interface between the subdomains of a linear PDE or system on a composite domain.
(via Semantic Scholar)
Sources: Web Of Science, 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: Web Of Science, 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.
TL;DR:
It has been demonstrated that while preserving the wanted sound, the developed approach can cancel out the unwanted noise and the volumetric noise cancellation offered by the proposed methodology along with leaving theWant sound unchanged is a unique feature compared to other techniques available in the literature.
(via Semantic Scholar)
Sources: Web Of Science, 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. 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
TL;DR:
Analysis of the temporal behavior of unsplit PMLs for some commonly used second order explicit finite-difference schemes that approximate the Maxwell’s equations finds that the type of the layer and the choice of the scheme play a major role in how rapidly this growth may manifest itself and whether or not it manifests itself at all.
(via Semantic Scholar)
Sources: Web Of Science, 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). 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 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
TL;DR:
The ionospheric phenomena, both deterministic and random, are shown to affect the azimuthal resolution of a SAR sensor stronger than the range resolution; also, the effect of randomness appears weaker than that of the baseline dispersion.
(via Semantic Scholar)
Sources: Web Of Science, 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). 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 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)
TL;DR:
For the image to stay largely unaffected by Doppler, the frequency shift must be included in the definition of a matched filter, otherwise, there will be a geometric shift (translation) of the entire imaged scene from its true position, and there may also be a slight deterioration of the image sharpness (contrast).
(via Semantic Scholar)
Sources: Web Of Science, 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.
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
TL;DR:
This work proposes a modification that stabilizes any PML applied to a hyperbolic partial differential equation/system that satisfies the Huygens' principle and allows us to establish a temporally uniform error bound for arbitrarily long-time intervals.
(via Semantic Scholar)
Sources: Web Of Science, 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, NC State University Libraries, 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.
MeSH headings : Light; Lighting / methods; Models, Theoretical; Nonlinear Dynamics; Scattering, Radiation
TL;DR:
The (2+1)D nonlinear Helmholtz equation (NLH) for input beams that collapse in the simpler NLS model is solved, providing the first ever numerical evidence that nonparaxiality and backscattering can arrest the collapse.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, 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.
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
TL;DR:
A methodology for the active control of time-harmonic wave fields, e.g., acoustic disturbances, in composite regions, which extends the previous approach developed for the case of arcwise connected regions.
(via Semantic Scholar)
Sources: Web Of Science, 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). 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
TL;DR:
This study numerically solve the one-dimensional NLH using a Newton-type nonlinear solver and introduces a novel compact finite-volume fourth order discretization for the NLH with material discontinuities that corroborate the design fourth order convergence of the method.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, 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). 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 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
TL;DR:
Lacunae can be efficiently exploited for the numerical simulation of unsteady waves, and considerable progress has been made toward the development of lacunae-based methods for computational electromagnetism.
(via Semantic Scholar)
Sources: Web Of Science, 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, NC State University Libraries
Added: July 10, 2019
2006 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
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2006 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
TL;DR:
In the paper, general solution for a discretized composite AS problem is obtained and it is shown that it reduces to solving a collection of auxiliary problems for simply connected domains.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
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, NC State University Libraries
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
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, 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, NC State University Libraries
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, NC State University Libraries
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
TL;DR:
It turns out that the corresponding analysis necessarily involves interaction between the sources of sound and the surrounding acoustic field, which was not the case for either L1 or L2.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2004 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, NC State University Libraries, 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
TL;DR:
The motivation for introducing and analyzing the discrete surface potentials was provided by the problems of active shielding and control of sound, in which the source terms that drive the potentials are interpreted as the acoustic control sources that cancel out the unwanted noise on a predetermined region of interest.
(via Semantic Scholar)
Sources: Web Of Science, 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). 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
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Sources: Web Of Science, 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.
author keywords: Kerr medium; nonlinear wave propagation; self-focusing; singularity formation; linear damping; limiting absorption; two-way ABCs
TL;DR:
This paper develops new local discontinuous Galerkin methods for solving time dependent partial differential equations with higher order derivatives in one and multiple space dimensions and presents new results on a post-processing technique, originally designed for methods with good negative-order error estimates, that works as well for the new higher derivative cases.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, 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). 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).
TL;DR:
A problem of eliminating the unwanted time-harmonic noise on a predetermined region of interest is solved by active means by introducing the additional sources of sound, called controls, that generate the appropriate annihilating signal (anti-sound), and the general solution for controls has been obtained previously.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: NC State University Libraries, 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
TL;DR:
A rigorous proof of global L1 minimality for both continuous and discrete optimization problems in the one-dimensional case and a conjecture that the same result holds in the general case, i.e., for multidimensional settings and domains of arbitrary shape.
(via Semantic Scholar)
Sources: Web Of Science, 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). 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
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Crossref, NC State University Libraries, 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, NC State University Libraries, 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.
TL;DR:
A unified flow solution methodology that combines the advantages relevant to two independent groups of methods in computational fluid dynamics that have recently proven successful: The new factorizable schemes for the equations of hydrodynamics that facilitate the construction of optimally convergent multigrid algorithms, and highly accurate global far-field artificial boundary conditions (ABCs).
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, NC State University Libraries
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
TL;DR:
The key finding is that for eliminating the unwanted component of the acoustic field in a given area, one needs to know relatively little; in particular, neither the locations nor structure nor strength of the exterior noise sources need to be known.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Sources: Crossref, NC State University Libraries, 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
TL;DR:
The construction of the global lacunae-based ABCs are delineated in the framework of a discretized wave equation and systematic numerical results that corroborate the theoretical design properties of the ABCs'' algorithm are presented.
(via Semantic Scholar)
Sources: Web Of Science, 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.
author keywords: artificial boundary conditions (ABCs); two-way ABCs; radiation; Helmholtz equation; nonlinearity; nonparaxiality; fourth-order schemes; self-focusing; backscattering
TL;DR:
The two-way ABCs are constructed for the nonlinear Helmholtz equation, which models a continuous-wave (CW) laser beam propagation in amedium with nonlinear index of refraction, i.e., generation of waves in the opposite direction to that of the incoming signal.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, 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, 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, NC State University Libraries
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, NC State University Libraries
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
TL;DR:
An innovative approach to constructing highly accurate ABCs for three-dimensional flow computations employing the finite-difference counterparts to Calderon's pseudodifferential boundary projections calculated in the framework of the difference potentials method (DPM) of Ryaben'kii.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, 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, NC State University Libraries
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
TL;DR:
Some work that has been done over the recent years on constructing highly accurate nonlocal ABC''s for calculation of compressible external flows is reviewed, based on implementation of the generalized potentials and pseudodifferential boundary projection operators analogous to those proposed first by Calderon.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, 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, NC State University Libraries, 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, NC State University Libraries, 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
TL;DR:
An extensive survey and comparative assessment of different existing methods for constructing the ABCs are presented and a new ABCs technique proposed in recent work is described, which allows one to obtain highly accurate ABCs in the form of certain (nonlocal) boundary operator equations.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, 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
TL;DR:
The key idea behind the multigrid methodology is that the short-wave components of the error expansion on the grid decay faster than the long-wave ones and therefore, the problem should be considered on a sequence of grids so that for any wave there be a grid, on which this wave can be regarded as short.
(via Semantic Scholar)
Sources: ORCID, Crossref, NC State University Libraries
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
TL;DR:
This paper contains a general theoretical description of the algorithm for setting the DPM-based ABCs for time-periodic external flows, and expects that these boundary conditions will become an effective tool for constructing robust numerical methods to calculate oscillatory flows.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries, 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, NC State University Libraries, 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, NC State University Libraries, 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, NC State University Libraries, 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, NC State University Libraries, 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, NC State University Libraries
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
Employment
Updated: September 3rd, 2019 12:47
North Carolina State University Raleigh, NC, US
Education
Updated: December 10th, 2019 21:13
Russian Academy of Sciences Moscow, RU
Moscow Institute of Physics and Technology Dolgoprudnyy, RU
Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.
Certain data included herein are derived from the Web of Science© and InCites© (2024) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.