Edit Profile (opens in new tab) Tsynkov, Semyon V. Co-Author Distance Author ID: tsynkov.semyon-v Published as: Tsynkov, S. V.; Tsynkov, Semyon; Tsynkov, S.; Tsynkov, Semyon V. more...less Documents Indexed: 88 Publications since 1990, including 2 Books and 3 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 47 Co-Authors with 73 Joint Publications 901 Co-Co-Authors all top 5 Co-Authors 15 single-authored 23 Turkel, Eli L. 13 Gilman, Mikhail 12 Ryaben’kiĭ, Viktor Solomonovich 8 Fibich, Gadi 6 Medvinsky, Michael 5 Britt, Steven 5 Turchaninov, Victor I. 5 Utyuzhnikov, Sergey V. 4 Baruch, Guy 4 Loncaric, Josip 4 Smith, Erick 3 Chertock, Alina E. 3 Petropavlovsky, S. V. 3 Petropavlovsky, Sergey 2 Chetverushkin, Boris Nikolaevich 2 Ilan, Boaz 2 Qasimov, H. 2 Smith, Fouche 2 Sofronov, Ivan L. 1 Abarbanel, Saul Sigmond 1 Britt, D. S. 1 Ditkowski, Adi 1 Elizarova, Tat’yana Gennad’evna 1 Epshteyn, Ye. Yu. 1 Epshteyn, Yekaterina 1 Flores, Kevin B. 1 Gelb, Anne 1 Godunov, Sergeĭ Konstantinovich 1 Gordon, Dan 1 Gordon, Rachel 1 Gottlieb, Sigal 1 Kahana, Adar 1 Kamenetskii, D. S. 1 Kansa, E. 1 Kholodov, Aleksandr Sergeevich 1 Lagergren, John H. 1 Lazarev, M. I. 1 Leonard, Chris 1 Leonard, Christopher 1 Magura, Sam R. 1 North, Evan 1 Peterson, A. W. 1 Roberts, Thomas W. 1 Shumlak, Uri 1 Sidilkover, David 1 Versano, Idan 1 Zhukov, V. T. all top 5 Serials 20 Journal of Computational Physics 9 Applied Numerical Mathematics 9 Journal of Scientific Computing 7 SIAM Journal on Applied Mathematics 6 Inverse Problems 5 SIAM Journal on Imaging Sciences 4 SIAM Journal on Scientific Computing 3 Matematicheskoe Modelirovanie 2 Wave Motion 2 Applied Mathematics Letters 2 Doklady Mathematics 2 Communications in Computational Physics 2 Inverse Problems and Imaging 1 Computers and Fluids 1 Russian Mathematical Surveys 1 Differential Equations 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Computational Mathematics and Mathematical Physics 1 Journal of Statistical Theory and Practice 1 Applied and Numerical Harmonic Analysis all top 5 Fields 51 Numerical analysis (65-XX) 38 Partial differential equations (35-XX) 32 Optics, electromagnetic theory (78-XX) 25 Fluid mechanics (76-XX) 7 Systems theory; control (93-XX) 7 Information and communication theory, circuits (94-XX) 5 Computer science (68-XX) 5 Geophysics (86-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 987 times in 566 Documents Cited by ▼ Year ▼ Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077 Tsynkov, Semyon V. 276 1998 Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number. Zbl 1291.65273 Turkel, Eli; Gordon, Dan; Gordon, Rachel; Tsynkov, Semyon 79 2013 The method of difference potentials for the Helmholtz equation using compact high order schemes. Zbl 1254.65118 Medvinsky, M.; Tsynkov, S.; Turkel, E. 34 2012 Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034 Britt, Steven; Tsynkov, Semyon; Turkel, Eli 32 2011 A compact fourth order scheme for the Helmholtz equation in polar coordinates. Zbl 1203.65218 Britt, S.; Tsynkov, S.; Turkel, E. 25 2010 Active shielding and control of noise. Zbl 1032.93027 Lončarić, J.; Ryaben’kii, V. S.; Tsynkov, S. V. 23 2001 A theoretical introduction to numerical analysis. Zbl 1109.65002 Ryaben’kii, Victor S.; Tsynkov, Semyon V. 23 2007 A high-order numerical method for the Helmholtz equation with nonstandard boundary conditions. Zbl 1281.65135 Britt, D. S.; Tsynkov, S. V.; Turkel, E. 23 2013 A high order compact time/space finite difference scheme for the wave equation with variable speed of sound. Zbl 1397.65131 Britt, Steven; Turkel, Eli; Tsynkov, Semyon 22 2018 Global discrete artificial boundary conditions for time-dependent wave propagation. Zbl 0991.65100 Ryaben’kii, V. S.; Tsynkov, S. V.; Turchaninov, V. I. 19 2001 Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials. Zbl 1380.65146 Britt, S.; Tsynkov, S.; Turkel, E. 17 2018 Artificial boundary conditions for the numerical solution of external viscous flow problems. Zbl 0835.76078 Ryaben’kij, V. S.; Tsynkov, S. V. 17 1995 High order numerical simulation of the transmission and scattering of waves using the method of difference potentials. Zbl 1349.78097 Medvinsky, M.; Tsynkov, S.; Turkel, E. 16 2013 Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions. Zbl 1076.78008 Fibich, G.; Tsynkov, S. 16 2005 Compact high order accurate schemes for the three dimensional wave equation. Zbl 1434.65135 Smith, F.; Tsynkov, S.; Turkel, E. 16 2019 Inverse source problem and active shielding for composite domains. Zbl 1127.35081 Ryaben’kii, V. S.; Tsynkov, S. V.; Utyuzhnikov, S. V. 16 2007 On the definition of surface potentials for finite-difference operators. Zbl 1041.65079 Tsynkov, S. V. 16 2003 Quadratic optimization in the problems of active control of sound. Zbl 1142.93334 Lončarić, J.; Tsynkov, S. V. 15 2005 Active control of sound for composite regions. Zbl 1132.35028 Peterson, A. W.; Tsynkov, S. V. 15 2007 Optimization of Acoustic source strength in the problems of active noise control. Zbl 1126.35307 Loncaric, J.; Tsynkov, S. V. 15 2003 Transionospheric synthetic aperture imaging. Zbl 1375.86001 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 12 2017 An effective numerical technique for solving a special class of ordinary difference equations. Zbl 0838.65128 Ryaben’kii, V. S.; Tsynkov, S. V. 12 1995 A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media. Zbl 1166.78302 Baruch, G.; Fibich, G.; Tsynkov, S. 12 2009 Long-time performance of unsplit pmls with explicit second order schemes. Zbl 1203.65127 Abarbanel, S.; Qasimov, H.; Tsynkov, S. 12 2009 High-order two-way artificial boundary conditions for nonlinear wave propagation with backscattering. Zbl 0991.78016 Fibich, Gadi; Tsynkov, Semyon 11 2001 High-order numerical solution of the Helmholtz equation for domains with reentrant corners. Zbl 1367.65155 Magura, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. 10 2017 A method of boundary equations for unsteady hyperbolic problems in 3D. Zbl 1395.65061 Petropavlovsky, S.; Tsynkov, S.; Turkel, E. 10 2018 Optimization of power in the problems of active control of sound. Zbl 1146.76647 Lončarić, J.; Tsynkov, S. V. 9 2004 Solving the Helmholtz equation for general smooth geometry using simple grids. Zbl 1469.65159 Medvinsky, M.; Tsynkov, S.; Turkel, E. 9 2016 High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension. Zbl 1155.78313 Baruch, G.; Fibich, G.; Tsynkov, S. 9 2007 Fourth order schemes for time-harmonic wave equations with discontinuous coefficients. Zbl 1364.78031 Baruch, Guy; Fibich, Gadi; Tsynkov, Semyon; Turkel, Eli 8 2009 Direct implementation of high order BGT artificial boundary conditions. Zbl 1416.65405 Medvinsky, M.; Tsynkov, S.; Turkel, E. 8 2019 Lacunae based stabilization of PMLs. Zbl 1145.65082 Qasimov, H.; Tsynkov, S. 8 2008 External boundary conditions for three-dimensional problems of computational aerodynamics. Zbl 0948.65088 Tsynkov, Semyon V. 7 1999 Long-time numerical computation of wave-type solutions driven by moving sources. Zbl 0987.65080 Ryaben’kii, V. S.; Tsynkov, S. V.; Turchaninov, V. I. 7 2001 An application of nonlocal external conditions to viscous flow computations. Zbl 0818.76072 Tsynkov, S. V. 7 1995 Active control of sound with variable degree of cancellation. Zbl 1187.35185 Ryaben’kii, V. S.; Tsynkov, S. V.; Utyuzhnikov, S. V. 7 2009 Computation of singular solutions to the Helmholtz equation with high order accuracy. Zbl 1326.65141 Britt, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. 6 2015 Quasi-lacunae of Maxwell’s equations. Zbl 1229.35291 Petropavlovsky, S. V.; Tsynkov, S. V. 6 2011 A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell’s equations. Zbl 1241.78013 Petropavlovsky, S. V.; Tsynkov, S. V. 6 2012 Computation of nonlinear backscattering using a high-order numerical method. Zbl 1005.78010 Fibich, G.; Ilan, B.; Tsynkov, S. 5 2002 Construction of artificial boundary conditions using difference potentials method. A review. Zbl 1063.76622 Tsynkov, Semyon V. 5 1996 A mathematical model for SAR imaging beyond the first Born approximation. Zbl 1334.78027 Gilman, Mikhail; Tsynkov, Semyon 5 2015 Backscattering and nonparaxiality arrest collapse of damped nonlinear waves. Zbl 1032.65091 Fibich, G.; Ilan, B.; Tsynkov, S. 5 2003 Reduction of ionospheric distortions for spaceborne synthetic aperture radar with the help of image registration. Zbl 1306.78002 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 4 2013 Discrete Calderon’s projections on parallelepipeds and their application to computing exterior magnetic fields for FRC plasmas. Zbl 1284.76280 Kansa, E.; Shumlak, U.; Tsynkov, S. 4 2013 On the application of lacunae-based methods to Maxwell’s equations. Zbl 1054.78009 Tsynkov, S. V. 4 2004 Numerical solution of 3D exterior unsteady wave propagation problems using boundary operators. Zbl 1457.65061 Petropavlovsky, Sergey; Tsynkov, Semyon V.; Turkel, Eli 4 2020 High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry. Zbl 1118.78012 Baruch, G.; Fibich, G.; Tsynkov, S. 4 2007 Artificial boundary conditions for the numerical simulation of unsteady acoustic waves. Zbl 1061.76049 Tsynkov, S. V. 4 2003 On the combined performance of nonlocal artificial boundary conditions with the new generation of advanced multigrid flow solvers. Zbl 1004.76063 Roberts, T. W.; Sidilkover, D.; Tsynkov, S. V. 3 2002 Artificial boundary conditions for computation of oscillating external flows. Zbl 0899.76296 Tsynkov, S. V. 3 1997 Single-polarization SAR imaging in the presence of Faraday rotation. Zbl 1297.78006 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 3 2014 On the use of start-stop approximation for spaceborne SAR imaging. Zbl 1177.78021 Tsynkov, S. V. 3 2009 Difference problem of noise suppression and other problems of active control of single-frequency sound on a composite domain. Zbl 1181.93043 Ryaben’kii, V. S.; Utyuzhnikov, S. V.; Tsynkov, S. V. 3 2009 Non-deteriorating time domain numerical algorithms for Maxwell’s electrodynamics. Zbl 1375.78020 Petropavlovsky, S.; Tsynkov, S. 3 2017 A mathematical perspective on radar interferometry. Zbl 1481.78007 Gilman, Mikhail; Tsynkov, Semyon 3 2022 Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. Zbl 1484.35163 North, Evan; Tsynkov, Semyon; Turkel, Eli 3 2022 Dual carrier probing for spaceborne SAR imaging. Zbl 1219.78065 Smith, E. M.; Tsynkov, S. V. 3 2011 The use of lacunae of the 3D-wave equation for computing a solution at large time values. Zbl 1189.65200 Ryaben’kiĭ, V. S.; Turchaninov, V. I.; Tsynkov, S. V. 3 1999 Detection of delayed target response in SAR. Zbl 07089977 Gilman, Mikhail; Tsynkov, Semyon 2 2019 Professor V. S. Ryaben’kii. On the occasion of the 90-th birthday. Zbl 1315.00092 2 2015 Statistical characterization of scattering delay in synthetic aperture radar imaging. Zbl 07208031 Gilman, Mikhail; Tsynkov, Semyon 2 2020 3D time-dependent scattering about complex shapes using high order difference potentials. Zbl 07605602 Petropavlovsky, Sergey; Tsynkov, Semyon; Turkel, Eli 2 2022 The problem of active noise shielding in composite domains. Zbl 1427.76240 Ryaben’kii, V. S.; Utyuzhnikov, S. V.; Tsynkov, S. V. 2 2006 Method of difference potentials for evolution equations with lacunas. Zbl 1450.35159 Petropavlovsky, S. V.; Tsynkov, S. V. 2 2020 Viktor Solomonovich Ryaben’kii and his school (on his 90th birthday). Zbl 1342.01035 Godunov, S. K.; Zhukov, V. T.; Lazarev, M. I.; Sofronov, I. L.; Turchaninov, V. I.; Kholodov, A. S.; Tsynkov, S. V.; Chetverushkin, B. N.; Epshteyn, Ye. Yu. 1 2015 On the combined implementation of global boundary conditions with central difference multigrid flow solvers. Zbl 0955.76536 Tsynkov, Semyon 1 1998 A linearized inverse scattering problem for the polarized waves and anisotropic targets. Zbl 1252.78018 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 1 2012 Artificial boundary conditions for infinite-domain problems. Zbl 0940.76081 Tsynkov, Semyon V. 1 1998 On SAR imaging through the Earth’s ionosphere. Zbl 1175.86012 Tsynkov, S. V. 1 2009 Differential Faraday rotation and polarimetric SAR. Zbl 1392.35304 Gilman, Mikhail; Tsynkov, Semyon 1 2018 Solution of three-dimensional multiple scattering problems by the method of difference potentials. Zbl 1524.65717 Medvinsky, M.; Tsynkov, S.; Turkel, E. 1 2021 Weak lacunae of electromagnetic waves in dilute plasma. Zbl 1206.78026 Tsynkov, S. V. 1 2007 Lacunae-Bessel artificial boundary conditions for the numerical simulation of unsteady waves governed by vector models. Zbl 1047.35012 Tsynkov, Semyon V. 1 2003 Vertical autofocus for the phase screen in a turbulent ionosphere. Zbl 1510.94011 Gilman, Mikhail; Tsynkov, Semyon 1 2023 Vertical autofocus for the phase screen in a turbulent ionosphere. Zbl 1510.94011 Gilman, Mikhail; Tsynkov, Semyon 1 2023 A mathematical perspective on radar interferometry. Zbl 1481.78007 Gilman, Mikhail; Tsynkov, Semyon 3 2022 Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. Zbl 1484.35163 North, Evan; Tsynkov, Semyon; Turkel, Eli 3 2022 3D time-dependent scattering about complex shapes using high order difference potentials. Zbl 07605602 Petropavlovsky, Sergey; Tsynkov, Semyon; Turkel, Eli 2 2022 Solution of three-dimensional multiple scattering problems by the method of difference potentials. Zbl 1524.65717 Medvinsky, M.; Tsynkov, S.; Turkel, E. 1 2021 Numerical solution of 3D exterior unsteady wave propagation problems using boundary operators. Zbl 1457.65061 Petropavlovsky, Sergey; Tsynkov, Semyon V.; Turkel, Eli 4 2020 Statistical characterization of scattering delay in synthetic aperture radar imaging. Zbl 07208031 Gilman, Mikhail; Tsynkov, Semyon 2 2020 Method of difference potentials for evolution equations with lacunas. Zbl 1450.35159 Petropavlovsky, S. V.; Tsynkov, S. V. 2 2020 Compact high order accurate schemes for the three dimensional wave equation. Zbl 1434.65135 Smith, F.; Tsynkov, S.; Turkel, E. 16 2019 Direct implementation of high order BGT artificial boundary conditions. Zbl 1416.65405 Medvinsky, M.; Tsynkov, S.; Turkel, E. 8 2019 Detection of delayed target response in SAR. Zbl 07089977 Gilman, Mikhail; Tsynkov, Semyon 2 2019 A high order compact time/space finite difference scheme for the wave equation with variable speed of sound. Zbl 1397.65131 Britt, Steven; Turkel, Eli; Tsynkov, Semyon 22 2018 Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials. Zbl 1380.65146 Britt, S.; Tsynkov, S.; Turkel, E. 17 2018 A method of boundary equations for unsteady hyperbolic problems in 3D. Zbl 1395.65061 Petropavlovsky, S.; Tsynkov, S.; Turkel, E. 10 2018 Differential Faraday rotation and polarimetric SAR. Zbl 1392.35304 Gilman, Mikhail; Tsynkov, Semyon 1 2018 Transionospheric synthetic aperture imaging. Zbl 1375.86001 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 12 2017 High-order numerical solution of the Helmholtz equation for domains with reentrant corners. Zbl 1367.65155 Magura, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. 10 2017 Non-deteriorating time domain numerical algorithms for Maxwell’s electrodynamics. Zbl 1375.78020 Petropavlovsky, S.; Tsynkov, S. 3 2017 Solving the Helmholtz equation for general smooth geometry using simple grids. Zbl 1469.65159 Medvinsky, M.; Tsynkov, S.; Turkel, E. 9 2016 Computation of singular solutions to the Helmholtz equation with high order accuracy. Zbl 1326.65141 Britt, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. 6 2015 A mathematical model for SAR imaging beyond the first Born approximation. Zbl 1334.78027 Gilman, Mikhail; Tsynkov, Semyon 5 2015 Professor V. S. Ryaben’kii. On the occasion of the 90-th birthday. Zbl 1315.00092 2 2015 Viktor Solomonovich Ryaben’kii and his school (on his 90th birthday). Zbl 1342.01035 Godunov, S. K.; Zhukov, V. T.; Lazarev, M. I.; Sofronov, I. L.; Turchaninov, V. I.; Kholodov, A. S.; Tsynkov, S. V.; Chetverushkin, B. N.; Epshteyn, Ye. Yu. 1 2015 Single-polarization SAR imaging in the presence of Faraday rotation. Zbl 1297.78006 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 3 2014 Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number. Zbl 1291.65273 Turkel, Eli; Gordon, Dan; Gordon, Rachel; Tsynkov, Semyon 79 2013 A high-order numerical method for the Helmholtz equation with nonstandard boundary conditions. Zbl 1281.65135 Britt, D. S.; Tsynkov, S. V.; Turkel, E. 23 2013 High order numerical simulation of the transmission and scattering of waves using the method of difference potentials. Zbl 1349.78097 Medvinsky, M.; Tsynkov, S.; Turkel, E. 16 2013 Reduction of ionospheric distortions for spaceborne synthetic aperture radar with the help of image registration. Zbl 1306.78002 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 4 2013 Discrete Calderon’s projections on parallelepipeds and their application to computing exterior magnetic fields for FRC plasmas. Zbl 1284.76280 Kansa, E.; Shumlak, U.; Tsynkov, S. 4 2013 The method of difference potentials for the Helmholtz equation using compact high order schemes. Zbl 1254.65118 Medvinsky, M.; Tsynkov, S.; Turkel, E. 34 2012 A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell’s equations. Zbl 1241.78013 Petropavlovsky, S. V.; Tsynkov, S. V. 6 2012 A linearized inverse scattering problem for the polarized waves and anisotropic targets. Zbl 1252.78018 Gilman, Mikhail; Smith, Erick; Tsynkov, Semyon 1 2012 Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034 Britt, Steven; Tsynkov, Semyon; Turkel, Eli 32 2011 Quasi-lacunae of Maxwell’s equations. Zbl 1229.35291 Petropavlovsky, S. V.; Tsynkov, S. V. 6 2011 Dual carrier probing for spaceborne SAR imaging. Zbl 1219.78065 Smith, E. M.; Tsynkov, S. V. 3 2011 A compact fourth order scheme for the Helmholtz equation in polar coordinates. Zbl 1203.65218 Britt, S.; Tsynkov, S.; Turkel, E. 25 2010 A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media. Zbl 1166.78302 Baruch, G.; Fibich, G.; Tsynkov, S. 12 2009 Long-time performance of unsplit pmls with explicit second order schemes. Zbl 1203.65127 Abarbanel, S.; Qasimov, H.; Tsynkov, S. 12 2009 Fourth order schemes for time-harmonic wave equations with discontinuous coefficients. Zbl 1364.78031 Baruch, Guy; Fibich, Gadi; Tsynkov, Semyon; Turkel, Eli 8 2009 Active control of sound with variable degree of cancellation. Zbl 1187.35185 Ryaben’kii, V. S.; Tsynkov, S. V.; Utyuzhnikov, S. V. 7 2009 On the use of start-stop approximation for spaceborne SAR imaging. Zbl 1177.78021 Tsynkov, S. V. 3 2009 Difference problem of noise suppression and other problems of active control of single-frequency sound on a composite domain. Zbl 1181.93043 Ryaben’kii, V. S.; Utyuzhnikov, S. V.; Tsynkov, S. V. 3 2009 On SAR imaging through the Earth’s ionosphere. Zbl 1175.86012 Tsynkov, S. V. 1 2009 Lacunae based stabilization of PMLs. Zbl 1145.65082 Qasimov, H.; Tsynkov, S. 8 2008 A theoretical introduction to numerical analysis. Zbl 1109.65002 Ryaben’kii, Victor S.; Tsynkov, Semyon V. 23 2007 Inverse source problem and active shielding for composite domains. Zbl 1127.35081 Ryaben’kii, V. S.; Tsynkov, S. V.; Utyuzhnikov, S. V. 16 2007 Active control of sound for composite regions. Zbl 1132.35028 Peterson, A. W.; Tsynkov, S. V. 15 2007 High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension. Zbl 1155.78313 Baruch, G.; Fibich, G.; Tsynkov, S. 9 2007 High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry. Zbl 1118.78012 Baruch, G.; Fibich, G.; Tsynkov, S. 4 2007 Weak lacunae of electromagnetic waves in dilute plasma. Zbl 1206.78026 Tsynkov, S. V. 1 2007 The problem of active noise shielding in composite domains. Zbl 1427.76240 Ryaben’kii, V. S.; Utyuzhnikov, S. V.; Tsynkov, S. V. 2 2006 Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions. Zbl 1076.78008 Fibich, G.; Tsynkov, S. 16 2005 Quadratic optimization in the problems of active control of sound. Zbl 1142.93334 Lončarić, J.; Tsynkov, S. V. 15 2005 Optimization of power in the problems of active control of sound. Zbl 1146.76647 Lončarić, J.; Tsynkov, S. V. 9 2004 On the application of lacunae-based methods to Maxwell’s equations. Zbl 1054.78009 Tsynkov, S. V. 4 2004 On the definition of surface potentials for finite-difference operators. Zbl 1041.65079 Tsynkov, S. V. 16 2003 Optimization of Acoustic source strength in the problems of active noise control. Zbl 1126.35307 Loncaric, J.; Tsynkov, S. V. 15 2003 Backscattering and nonparaxiality arrest collapse of damped nonlinear waves. Zbl 1032.65091 Fibich, G.; Ilan, B.; Tsynkov, S. 5 2003 Artificial boundary conditions for the numerical simulation of unsteady acoustic waves. Zbl 1061.76049 Tsynkov, S. V. 4 2003 Lacunae-Bessel artificial boundary conditions for the numerical simulation of unsteady waves governed by vector models. Zbl 1047.35012 Tsynkov, Semyon V. 1 2003 Computation of nonlinear backscattering using a high-order numerical method. Zbl 1005.78010 Fibich, G.; Ilan, B.; Tsynkov, S. 5 2002 On the combined performance of nonlocal artificial boundary conditions with the new generation of advanced multigrid flow solvers. Zbl 1004.76063 Roberts, T. W.; Sidilkover, D.; Tsynkov, S. V. 3 2002 Active shielding and control of noise. Zbl 1032.93027 Lončarić, J.; Ryaben’kii, V. S.; Tsynkov, S. V. 23 2001 Global discrete artificial boundary conditions for time-dependent wave propagation. Zbl 0991.65100 Ryaben’kii, V. S.; Tsynkov, S. V.; Turchaninov, V. I. 19 2001 High-order two-way artificial boundary conditions for nonlinear wave propagation with backscattering. Zbl 0991.78016 Fibich, Gadi; Tsynkov, Semyon 11 2001 Long-time numerical computation of wave-type solutions driven by moving sources. Zbl 0987.65080 Ryaben’kii, V. S.; Tsynkov, S. V.; Turchaninov, V. I. 7 2001 External boundary conditions for three-dimensional problems of computational aerodynamics. Zbl 0948.65088 Tsynkov, Semyon V. 7 1999 The use of lacunae of the 3D-wave equation for computing a solution at large time values. Zbl 1189.65200 Ryaben’kiĭ, V. S.; Turchaninov, V. I.; Tsynkov, S. V. 3 1999 Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077 Tsynkov, Semyon V. 276 1998 On the combined implementation of global boundary conditions with central difference multigrid flow solvers. Zbl 0955.76536 Tsynkov, Semyon 1 1998 Artificial boundary conditions for infinite-domain problems. Zbl 0940.76081 Tsynkov, Semyon V. 1 1998 Artificial boundary conditions for computation of oscillating external flows. Zbl 0899.76296 Tsynkov, S. V. 3 1997 Construction of artificial boundary conditions using difference potentials method. A review. Zbl 1063.76622 Tsynkov, Semyon V. 5 1996 Artificial boundary conditions for the numerical solution of external viscous flow problems. Zbl 0835.76078 Ryaben’kij, V. S.; Tsynkov, S. V. 17 1995 An effective numerical technique for solving a special class of ordinary difference equations. Zbl 0838.65128 Ryaben’kii, V. S.; Tsynkov, S. V. 12 1995 An application of nonlocal external conditions to viscous flow computations. Zbl 0818.76072 Tsynkov, S. V. 7 1995 all cited Publications top 5 cited Publications all top 5 Cited by 851 Authors 48 Tsynkov, Semyon V. 21 Givoli, Dan 21 Turkel, Eli L. 18 Utyuzhnikov, Sergey V. 15 Antoine, Xavier 14 Ryaben’kiĭ, Viktor Solomonovich 11 Zhang, Jiwei 11 Zheng, Chunxiong 9 Neta, Beny 9 Onofrei, Daniel 8 Ge, Yongbin 8 Gilman, Mikhail 8 Hagstrom, Thomas M. 8 Li, Zhilin 7 Epshteyn, Yekaterina 7 Medvinsky, Michael 7 Nordström, Jan 6 Acosta, Sebastian 6 Cheng, Dongsheng 6 Colonius, Tim 6 Liao, Wenyuan 6 Patlashenko, Igor 5 Alonso-Mallo, Isaías 5 Fibich, Gadi 5 Geuzaine, Christophe A. 5 Lorin, Emmanuel 5 Villamizar, Vianey 5 Wang, Kun 5 Winicour, Jeffrey 5 Wu, Tingting 5 Xia, Qing 5 Zlotnik, Alexander A. 4 Britt, Steven 4 Dong, Suchuan 4 Dou, Fangfang 4 Du, Qiang 4 Grote, Marcus J. 4 Harari, Isaac 4 Hou, Baohui 4 Idesman, Alexander V. 4 Kaltenbacher, Barbara 4 Pan, Kejia 4 Pang, Gang 4 Portillo, A. M. 4 Rabinovich, Daniel 4 Song, Chongmin 4 Sun, Zhizhong 4 Toivanen, Jari 4 Wang, Zhibo 4 Wong, Yau Shu 3 Baruch, Guy 3 Bielak, Jacobo 3 Birk, Carolin 3 Chen, Zhongying 3 Čiegis, Raimondas 3 Dastour, Hatef 3 Djellouli, Rabia 3 Dorschner, Benedikt 3 Duru, Kenneth 3 Ehrhardt, Matthias 3 Feng, Qiwei 3 Fu, Chuli 3 Garnier, Josselin 3 Giraldo, Francis X. 3 Gordin, Vladimir A. 3 Gordon, Dan 3 Gordon, Rachel 3 Guddati, Murthy N. 3 Han, Houde 3 He, Limin 3 Ito, Kazufumi 3 Ji, Songsong 3 Jiang, Yunzhi 3 Kreiss, Gunilla 3 Liang, Dong 3 Lin, Gao 3 Lindquist, Joseph M. 3 Mattsson, Ken 3 Modave, Axel 3 Petropavlovsky, Sergey 3 Prosser, Robert 3 Qiao, Zhonghua 3 Shin, Jaemin 3 Sofronov, Ivan L. 3 Stolk, Christiaan C. 3 Thompson, Lonny L. 3 Turchaninov, Victor I. 3 van Joolen, Vince J. 3 Vong, Seakweng 3 Wang, Fei 3 Wohlmuth, Barbara I. 3 Ying, Wenjun 2 Abarbanel, Saul Sigmond 2 Alazard, Thomas 2 Albright, Jason 2 Appelö, Daniel 2 Azaïez, Mejdi 2 Aziz, Imran 2 Baffet, Daniel H. 2 Barucq, Hélène ...and 751 more Authors all top 5 Cited in 115 Serials 129 Journal of Computational Physics 35 Applied Numerical Mathematics 34 Computer Methods in Applied Mechanics and Engineering 31 Journal of Computational and Applied Mathematics 25 Journal of Scientific Computing 19 Wave Motion 14 Computers and Fluids 14 International Journal for Numerical Methods in Engineering 14 SIAM Journal on Scientific Computing 13 Computers & Mathematics with Applications 12 Applied Mathematics and Computation 11 Applied Mathematical Modelling 8 SIAM Journal on Numerical Analysis 6 Applied Mathematics Letters 5 Inverse Problems 5 Numerical Methods for Partial Differential Equations 5 Advances in Computational Mathematics 5 Doklady Mathematics 5 Living Reviews in Relativity 5 Journal of Computational Acoustics 5 Communications in Computational Physics 4 Mathematics of Computation 4 Physica D 4 Numerical Algorithms 4 Computational and Applied Mathematics 4 Engineering Analysis with Boundary Elements 4 International Journal of Computational Fluid Dynamics 4 Advances in Difference Equations 4 Inverse Problems and Imaging 4 SIAM Journal on Imaging Sciences 3 Journal of Mathematical Analysis and Applications 3 Mathematics and Computers in Simulation 3 Numerische Mathematik 3 Computational Mechanics 3 SIAM Journal on Applied Mathematics 3 Communications in Numerical Methods in Engineering 3 Mathematical Problems in Engineering 3 Lobachevskii Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Inverse Problems in Science and Engineering 2 BIT 2 Advances in Applied Mathematics 2 Asymptotic Analysis 2 Journal of Integral Equations and Applications 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Abstract and Applied Analysis 2 International Journal of Numerical Modelling 2 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Mathematical Modelling and Analysis 2 Matematicheskoe Modelirovanie 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 International Journal of Computational Methods 2 Numerical Mathematics: Theory, Methods and Applications 1 Acta Mechanica 1 Computer Physics Communications 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal for Numerical Methods in Fluids 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Demonstratio Mathematica 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Chinese Science Bulletin 1 Advances in Engineering Software 1 Physics of Fluids 1 Turkish Journal of Mathematics 1 Fractals 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Mathematics and Mechanics of Solids 1 Differential Equations and Dynamical Systems 1 Soft Computing 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Journal of Mathematical Study 1 Flow, Turbulence and Combustion 1 Computational Geosciences 1 Combustion Theory and Modelling 1 Applied Sciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Physical Review Letters 1 The Journal of Logic and Algebraic Programming 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Journal of Statistical Theory and Practice 1 Tbilisi Mathematical Journal ...and 15 more Serials all top 5 Cited in 36 Fields 392 Numerical analysis (65-XX) 275 Partial differential equations (35-XX) 162 Fluid mechanics (76-XX) 85 Optics, electromagnetic theory (78-XX) 69 Mechanics of deformable solids (74-XX) 18 Geophysics (86-XX) 13 Integral equations (45-XX) 11 Systems theory; control (93-XX) 9 Functional analysis (46-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Approximations and expansions (41-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Relativity and gravitational theory (83-XX) 6 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 5 Quantum theory (81-XX) 4 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) Citations by Year