Edit Profile (opens in new tab) Liu, Hongyu Compute Distance To: Compute Author ID: liu.hongyu Published as: Liu, Hongyu Homepage: http://www.math.hkbu.edu.hk/~hongyuliu/ External Links: ORCID · GND Documents Indexed: 165 Publications since 1998 2 Further Contributions Reviewing Activity: 1 Review Co-Authors: 75 Co-Authors with 128 Joint Publications 2,261 Co-Co-Authors all top 5 Co-Authors 6 single-authored 34 Li, Jingzhi 19 Zou, Jun 18 Deng, Youjun 12 Wang, Xianchao 11 Li, Hongjie 11 Sun, Hongpeng 9 Diao, Huaian 8 Guo, Yukun 7 Uhlmann, Gunther Alberto 7 Wang, Yuliang 6 Hu, Guanghui 6 Sun, Geng 6 Xiao, Jingni 6 Zhang, Kai 5 Blåsten, Emilia L. K. 5 Cao, Xinlin 5 Wang, Qi 4 Liu, Xiaodong 4 Zhang, Deyue 3 Chen, Xiang 3 Hong, Jialin 3 Li, Jinhong 3 Lin, Xiu 3 Rondi, Luca 3 Shang, Zaijiu 3 Tsou, Chun-Hsiang 3 Tsui, Wing-Yan 3 Yang, Rong-Can 3 Ye, Li-Xiang 3 Zheng, Guanghui 3 Zhou, Ting 2 Ammari, Habib M. 2 Bao, Gang 2 Blåsten, Eemeli 2 Chow, Yat Tin 2 He, Juan 2 Himeno, Ryutaro 2 Kang, Hyeonbae 2 Li, Xiaofei 2 Lin, Yi-Hsuan 2 Ma, Shiqi 2 Shyy, Wei 2 Yamaguchi, Takami 2 Yamamoto, Masahiro 2 Yen, Rainfield Yutian 2 Yin, Weishi 1 Ando, Kazunori 1 Bai, Zhengjian 1 Barthès-Biesel, Dominique 1 Borcea, Liliana 1 Borhan, Ali 1 Cesnik, Carlos E. S. 1 Chan, Robert Peng Kong 1 Cheng, Wei-Chung 1 Ci, Yuyao 1 Ding, Minghui 1 Ding, Xiaohua 1 Duan, Chaohua 1 Fang, Xiaoping 1 Gao, Yu 1 Garnier, Josselin 1 Gupta, N. R. 1 Harrach, Bastian 1 He, Bin 1 He, Youzi 1 Hetmaniuk, Ulrich L. 1 Hömberg, Dietmar 1 Ifju, Peter G. 1 Jackiewicz, Zdzislaw 1 Ji, Xia 1 Jiang, Shanshan 1 Jiang, Yan 1 Kocyigit, Ilker 1 Kou, S. Q. 1 Kuang, Yang 1 Lai, Junjiang 1 Lebon, Frédéric 1 Li, Bingtuan 1 Li, Che-Wei 1 Li, Chun 1 Li, Jinghong 1 Li, Peijun 1 Li, Yun-Bao 1 Lian, Yongsheng 1 Lindqvist, P.-A. 1 Liu, Xinbo 1 Liu, Yubin 1 Lu, Jianduo 1 Mao, Shipeng 1 Mehl, Michael J. 1 Meng, Pinchao 1 Meng, Qingle 1 N’Dri, N. 1 Papaconstantopoulos, D. A. 1 Petrini, Michele 1 Pozrikidis, Constantine 1 Ramière, Isabelle 1 Secomb, Timothy W. 1 Si, Na 1 Song, Haiming ...and 27 more Co-Authors all top 5 Serials 21 Inverse Problems 10 SIAM Journal on Applied Mathematics 9 Journal of Differential Equations 8 Journal of Computational Physics 7 SIAM Journal on Mathematical Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Inverse Problems and Imaging 4 IMA Journal of Applied Mathematics 4 Communications in Computational Physics 4 SIAM Journal on Imaging Sciences 3 Archive for Rational Mechanics and Analysis 3 International Journal for Numerical Methods in Fluids 3 Northeastern Mathematical Journal 3 Quantum Information Processing 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Communications in Partial Differential Equations 2 Journal of Elasticity 2 SIAM Journal on Scientific Computing 2 Calculus of Variations and Partial Differential Equations 2 Journal of Inverse and Ill-Posed Problems 2 Discrete and Continuous Dynamical Systems 2 Communications in Mathematical Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Modern Physics Letters B 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Studies in Applied Mathematics 1 Mathematica Numerica Sinica 1 Acta Mathematica Hungarica 1 Journal of Computational Mathematics 1 Parallel Computing 1 European Journal of Applied Mathematics 1 Signal Processing 1 IEEE Transactions on Signal Processing 1 International Journal of Computer Mathematics 1 Journal of Dynamics and Differential Equations 1 Advances in Engineering Software 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of the European Mathematical Society (JEMS) 1 Computational Geosciences 1 Acta Analysis Functionalis Applicata. AAFA 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 Iranian Journal of Fuzzy Systems 1 Panoramas et Synthèses 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Journal of Spectral Theory 1 East Asian Journal on Applied Mathematics 1 Quantum Studies: Mathematics and Foundations 1 Research in the Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications all top 5 Fields 124 Partial differential equations (35-XX) 73 Optics, electromagnetic theory (78-XX) 37 Numerical analysis (65-XX) 31 Fluid mechanics (76-XX) 30 Mechanics of deformable solids (74-XX) 11 Potential theory (31-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 6 Geophysics (86-XX) 6 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 138 Publications have been cited 1,379 times in 418 Documents Cited by ▼ Year ▼ Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers. Zbl 1094.35142Liu, Hongyu; Zou, Jun 49 2006 Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu 36 2016 A numerical study of insect flight. Zbl 0929.76092Liu, H.; Kawachi, K. 35 1998 Modeling and simulation of capsules and biological cells. Zbl 1026.92002 35 2003 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135Li, Jingzhi; Liu, Hongyu; Zou, Jun 35 2014 Strengthened linear sampling method with a reference ball. Zbl 1205.35339Li, Jingzhi; Liu, Hongyu; Zou, Jun 34 2009 A numerical study of undulatory swimming. Zbl 0958.76099Liu, H.; Kawachi, K. 30 1999 Virtual reshaping and invisibility in obstacle scattering. Zbl 1169.35392Liu, Hongyu 28 2009 Two single-shot methods for locating multiple electromagnetic scatterers. Zbl 1323.78012Li, Jingzhi; Liu, Hongyu; Shang, Zaijiu; Sun, Hongpeng 28 2013 Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers. Zbl 1298.35213Bao, Gang; Liu, Hongyu; Zou, Jun 26 2014 Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering. Zbl 1126.35073Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun 26 2007 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316Liu, Hongyu; Uhlmann, Gunther 26 2015 Multilevel linear sampling method for inverse scattering problems. Zbl 1167.78007Li, Jingzhi; Liu, Hongyu; Zou, Jun 25 2008 On unique determination of partially coated polyhedral scatterers with far field measurements. Zbl 1111.78009Liu, Hongyu; Zou, Jun 23 2007 Fourier method for recovering acoustic sources from multi-frequency far-field data. Zbl 1401.35352Wang, Xianchao; Guo, Yukun; Zhang, Deyue; Liu, Hongyu 23 2017 Retrieval of acoustic sources from multi-frequency phaseless data. Zbl 1442.65336Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 22 2018 Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements. Zbl 1352.74148Liu, Hongyu; Petrini, Michele; Rondi, Luca; Xiao, Jingni 22 2017 On vanishing near corners of transmission eigenfunctions. Zbl 1387.35437Blåsten, Eemeli; Liu, Hongyu 21 2017 The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Zbl 1084.65127Hong, Jialin; Liu, Hongyu; Sun, Geng 21 2006 Enhanced multilevel linear sampling methods for inverse scattering problems. Zbl 1349.76624Li, Jingzhi; Liu, Hongyu; Wang, Qi 20 2014 Recovering a polyhedral obstacle by a few backscattering measurements. Zbl 1330.78013Li, Jingzhi; Liu, Hongyu 20 2015 On quasi-static cloaking due to anomalous localized resonance in \(\mathbb{R}^3\). Zbl 1322.35176Li, Hongjie; Li, Jingzhi; Liu, Hongyu 20 2015 Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Zbl 1432.78008Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 20 2017 On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study. Zbl 1442.65332Blåsten, Eemeli; Li, Xiaofei; Liu, Hongyu; Wang, Yuliang 19 2017 Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell’s equations, and stability in direct and inverse EM scattering problems. Zbl 07117724Liu, Hongyu; Rondi, Luca; Xiao, Jingni 19 2019 Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu 18 2019 Enhanced near-cloak by FSH lining. Zbl 1259.35223Liu, Hongyu; Sun, Hongpeng 18 2013 Recovering multiscale buried anomalies in a two-layered medium. Zbl 1330.78012Li, Jingzhi; Li, Peijun; Liu, Hongyu; Liu, Xiaodong 18 2015 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 16 2017 A global uniqueness for formally determined inverse electromagnetic obstacle scattering. Zbl 1144.78314Liu, Hongyu 16 2008 Computational aerodynamics of low Reynolds number plunging, pitching and flexible wings for MAV applications. Zbl 1271.76285Shyy, W.; Lian, Y.; Tang, J.; Liu, H.; Trizila, P.; Stanford, B.; Bernal, L.; Cesnik, C.; Friedmann, P.; Ifju, P. 15 2008 Some new additive Runge-Kutta methods and their applications. Zbl 1089.65066Liu, Hongyu; Zou, Jun 15 2006 Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering. Zbl 1138.35072Liu, Hongyu; Zou, Jun 15 2007 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228Li, Hongjie; Liu, Hongyu 14 2018 Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. Zbl 1479.35838Blåsten, Emilia L. K.; Liu, Hongyu 14 2021 Nearly cloaking the electromagnetic fields. Zbl 1314.35181Bao, Gang; Liu, Hongyu 14 2014 Locating multiple multiscale electromagnetic scatterers by a single far-field measurement. Zbl 1302.78016Li, Jingzhi; Liu, Hongyu; Wang, Qi 13 2013 A time domain sampling method for inverse acoustic scattering problems. Zbl 1349.76610Guo, Yukun; Hömberg, Dietmar; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 13 2016 Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262Blåsten, Emilia; Liu, Hongyu 13 2020 On anomalous localized resonance for the elastostatic system. Zbl 1350.35025Li, Hongjie; Liu, Hongyu 12 2016 On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328Diao, Huaian; Cao, Xinlin; Liu, Hongyu 12 2021 On approximate electromagnetic cloaking by transformation media. Zbl 1213.35403Liu, Hongyu; Zhou, Ting 12 2011 Mathematical design of a novel input/instruction device using a moving acoustic emitter. Zbl 1422.65240Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 11 2017 On localizing and concentrating electromagnetic fields. Zbl 1408.35180Harrach, Bastian; Lin, Yi-Hsuan; Liu, Hongyu 11 2018 Determining a random Schrödinger equation with unknown source and potential. Zbl 1419.35185Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 11 2019 On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372Deng, Youjun; Li, Hongjie; Liu, Hongyu 11 2019 On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances. Zbl 1409.35028Li, Hongjie; Li, Jinhong; Liu, Hongyu 10 2018 Nearly cloaking the elastic wave fields. Zbl 1327.74026Hu, Guanghui; Liu, Hongyu 10 2015 Inverse elastic scattering for multiscale rigid bodies with a single far-field pattern. Zbl 1305.74046Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 10 2014 On near-cloak in acoustic scattering. Zbl 1257.35173Liu, Hongyu 10 2013 Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes. Zbl 1478.35159Chow, Yat Tin; Deng, Youjun; He, Youzi; Liu, Hongyu; Wang, Xianchao 10 2021 A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157Yin, Weishi; Yang, Wenhong; Liu, Hongyu 10 2020 On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. Zbl 1450.35290Diao, Huaian; Liu, Hongyu; Wang, Li 10 2020 On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. Zbl 1452.35120Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 10 2020 On three-dimensional plasmon resonances in elastostatics. Zbl 1370.35044Li, Hongjie; Liu, Hongyu 10 2017 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 9 2019 Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak. Zbl 1325.35209Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther 9 2015 On identifying magnetized anomalies using geomagnetic monitoring. Zbl 1405.78002Deng, Youjun; Li, Jinhong; Liu, Hongyu 9 2019 On corners scattering stably and stable shape determination by a single far-field pattern. Zbl 1479.35648Blåsten, Emilia; Liu, Hongyu 9 2021 Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data. Zbl 06759751Liu, Hongyu; Liu, Xiaodong 9 2017 On electromagnetic scattering from a penetrable corner. Zbl 1383.78021Liu, Hongyu; Xiao, Jingni 8 2017 Singular perturbation of reduced wave equation and scattering from an embedded obstacle. Zbl 1257.35174Liu, Hongyu; Shang, Zaijiu; Sun, Hongpeng; Zou, Jun 8 2012 Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015Cao, Xinlin; Liu, Hongyu 8 2019 Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334Liu, Hongyu; Tsou, Chun-Hsiang 8 2020 Analysis of surface polariton resonance for nanoparticles in elastic system. Zbl 1436.35034Deng, Youjun; Li, Hongjie; Liu, Hongyu 8 2020 Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang 8 2020 Enhanced approximate cloaking by SH and FSH lining. Zbl 1250.78025Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 7 2012 Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082Liu, Hongyu; Zhao, Hongkai; Zou, Changjian 7 2015 On regularized full- and partial-cloaks in acoustic scattering. Zbl 1375.35518Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 7 2017 On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Zbl 1434.35243Deng, Youjun; Li, Jinhong; Liu, Hongyu 7 2020 Multi-symplectic Runge-Kutta-type methods for Hamiltonian wave equations. Zbl 1100.65117Liu, Hongyu; Zhang, Kai 7 2006 Recovering complex elastic scatterers by a single far-field pattern. Zbl 1432.35197Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 7 2014 Decoupling elastic waves and its applications. Zbl 1368.74029Liu, Hongyu; Xiao, Jingni 7 2017 Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. Zbl 1416.35253Deng, Youjun; Liu, Hongyu; Liu, Xiaodong 6 2019 Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 6 2019 Regularized transformation-optics cloaking in acoustic and electromagnetic scattering. Zbl 1346.35191Liu, Hongyu; Uhlmann, Gunther 6 2015 Locating multiple multipolar acoustic sources using the direct sampling method. Zbl 1473.65275Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 6 2019 Explicit multi-symplectic methods for Hamiltonian wave equations. Zbl 1164.65523Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu 6 2007 An inverse scattering approach for geometric body generation: a machine learning perspective. Zbl 1435.68271Li, Jinghong; Liu, Hongyu; Tsui, Wing-Yan; Wang, Xianchao 6 2019 On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133Ji, Xia; Liu, Hongyu 5 2018 Fourier method for identifying electromagnetic sources with multi-frequency far-field data. Zbl 1415.35292Wang, Xianchao; Song, Minghui; Guo, Yukun; Li, Hongjie; Liu, Hongyu 5 2019 On recovering polyhedral scatterers with acoustic far-field measurements. Zbl 1169.76346Liu, Hongyu 5 2009 New reflection principles for Maxwell’s equations and their applications. Zbl 1187.78037Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun 5 2009 Uniqueness in determining refractive indices by formally determined far-field data. Zbl 1330.35529Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 5 2015 Regular scattering patterns from near-cloaking devices and their implications for invisibility cloaking. Zbl 1273.35112Kocyigit, Ilker; Liu, Hongyu; Sun, Hongpeng 5 2013 Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347Deng, Youjun; Li, Hongjie; Liu, Hongyu 5 2020 Two dimensional invisibility cloaking via transformation optics. Zbl 1226.35016Liu, Hongyu; Zhou, Ting 5 2011 Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu 5 2020 Determining a random Schrödinger operator: both potential and source are random. Zbl 07303880Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 5 2021 On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 4 2018 Symplectic RK methods and symplectic PRK methods with real eigenvalues. Zbl 1060.65129Liu, Hongyu; Sun, Geng 4 2004 Implicit Runge-Kutta methods based on Lobatto quadrature formula. Zbl 1067.65069Liu, Hongyu; Sun, Geng 4 2005 On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei 4 2021 On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution. Zbl 1430.35068Liu, Hongyu; Liu, Xiaodong; Wang, Xianchao; Wang, Yuliang 4 2019 Efficient symplectic Runge-Kutta methods. Zbl 1101.65077Chan, R. P. K.; Liu, Hongyu; Sun, Geng 4 2006 Schiffer’s conjecture, interior transmission eigenvalues and invisibility cloaking: singular problem vs. nonsingular problem. Zbl 1287.35047Liu, Hongyu 4 2013 Mathematical design of a novel gesture-based instruction/input device using wave detection. Zbl 1432.94016Liu, Hongyu; Wang, Yuliang; Yang, Can 3 2016 Transformation optics and approximate cloaking. Zbl 1248.78009Liu, Hongyu; Zhou, Ting 3 2011 Imaging acoustic obstacles by singular and hypersingular point sources. Zbl 1267.35256Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng; Zou, Jun 3 2013 Mathematical analysis of plasmon resonances for curved nanorods. Zbl 1479.35840Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 3 2021 On vanishing near corners of conductive transmission eigenfunctions. Zbl 1481.35301Deng, Youjun; Duan, Chaohua; Liu, Hongyu 3 2022 Further results on generalized Holmgren’s principle to the Lamé operator and applications. Zbl 1483.35250Diao, Huaian; Liu, Hongyu; Wang, Li 2 2022 On geometrical properties of electromagnetic transmission eigenfunctions and artificial mirage. Zbl 1482.35149Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wu, Wei 1 2022 Plasmon resonances of nanorods in transverse electromagnetic scattering. Zbl 07487018Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 1 2022 Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. Zbl 07493741Ammari, Habib; Chow, Yat Tin; Liu, Hongyu 1 2022 Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. Zbl 1479.35838Blåsten, Emilia L. K.; Liu, Hongyu 14 2021 On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328Diao, Huaian; Cao, Xinlin; Liu, Hongyu 12 2021 Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes. Zbl 1478.35159Chow, Yat Tin; Deng, Youjun; He, Youzi; Liu, Hongyu; Wang, Xianchao 10 2021 On corners scattering stably and stable shape determination by a single far-field pattern. Zbl 1479.35648Blåsten, Emilia; Liu, Hongyu 9 2021 Determining a random Schrödinger operator: both potential and source are random. Zbl 07303880Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 5 2021 On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei 4 2021 Mathematical analysis of plasmon resonances for curved nanorods. Zbl 1479.35840Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 3 2021 On a local geometric property of the generalized elastic transmission eigenfunctions and application. Zbl 1479.35286Diao, Huaian; Liu, Hongyu; Sun, Baiyi 3 2021 On an electromagnetic problem in a corner and its applications. Zbl 1480.78011Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni 3 2021 Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. Zbl 1456.35192Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun 3 2021 On novel geometric structures of Laplacian eigenfunctions in \(\mathbb{R}^3\) and applications to inverse problems. Zbl 1461.35167Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 3 2021 Sharp estimate of electric field from a conductive rod and application. Zbl 1466.78011Fang, Xiaoping; Deng, Youjun; Liu, Hongyu 2 2021 Simultaneous recovery of surface heat flux and thickness of a solid structure by ultrasonic measurements. Zbl 1478.35236Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wei, Dong; Zhu, Liyan 1 2021 On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke 1 2021 Three-dimensional elastic scattering coefficients and enhancement of the elastic near cloaking. Zbl 1466.35273Liu, Hongyu; Tsui, Wing Yan; Wahab, Abdul; Wang, Xianchao 1 2021 Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262Blåsten, Emilia; Liu, Hongyu 13 2020 A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157Yin, Weishi; Yang, Wenhong; Liu, Hongyu 10 2020 On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. Zbl 1450.35290Diao, Huaian; Liu, Hongyu; Wang, Li 10 2020 On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. Zbl 1452.35120Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 10 2020 Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334Liu, Hongyu; Tsou, Chun-Hsiang 8 2020 Analysis of surface polariton resonance for nanoparticles in elastic system. Zbl 1436.35034Deng, Youjun; Li, Hongjie; Liu, Hongyu 8 2020 Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang 8 2020 On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Zbl 1434.35243Deng, Youjun; Li, Jinhong; Liu, Hongyu 7 2020 Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347Deng, Youjun; Li, Hongjie; Liu, Hongyu 5 2020 Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu 5 2020 Identifying varying magnetic anomalies using geomagnetic monitoring. Zbl 1448.35494Deng, Youjun; Liu, Hongyu; Tsui, Wing-Yan 1 2020 Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell’s equations, and stability in direct and inverse EM scattering problems. Zbl 07117724Liu, Hongyu; Rondi, Luca; Xiao, Jingni 19 2019 Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu 18 2019 Determining a random Schrödinger equation with unknown source and potential. Zbl 1419.35185Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 11 2019 On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372Deng, Youjun; Li, Hongjie; Liu, Hongyu 11 2019 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 9 2019 On identifying magnetized anomalies using geomagnetic monitoring. Zbl 1405.78002Deng, Youjun; Li, Jinhong; Liu, Hongyu 9 2019 Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015Cao, Xinlin; Liu, Hongyu 8 2019 Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. Zbl 1416.35253Deng, Youjun; Liu, Hongyu; Liu, Xiaodong 6 2019 Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 6 2019 Locating multiple multipolar acoustic sources using the direct sampling method. Zbl 1473.65275Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 6 2019 An inverse scattering approach for geometric body generation: a machine learning perspective. Zbl 1435.68271Li, Jinghong; Liu, Hongyu; Tsui, Wing-Yan; Wang, Xianchao 6 2019 Fourier method for identifying electromagnetic sources with multi-frequency far-field data. Zbl 1415.35292Wang, Xianchao; Song, Minghui; Guo, Yukun; Li, Hongjie; Liu, Hongyu 5 2019 On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution. Zbl 1430.35068Liu, Hongyu; Liu, Xiaodong; Wang, Xianchao; Wang, Yuliang 4 2019 The decoupling of elastic waves from a weak formulation perspective. Zbl 1465.35196Lai, Junjiang; Liu, Hongyu; Xiao, Jingni; Xu, Yifeng 2 2019 Retrieval of acoustic sources from multi-frequency phaseless data. Zbl 1442.65336Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 22 2018 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228Li, Hongjie; Liu, Hongyu 14 2018 On localizing and concentrating electromagnetic fields. Zbl 1408.35180Harrach, Bastian; Lin, Yi-Hsuan; Liu, Hongyu 11 2018 On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances. Zbl 1409.35028Li, Hongjie; Li, Jinhong; Liu, Hongyu 10 2018 On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133Ji, Xia; Liu, Hongyu 5 2018 On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 4 2018 Fourier method for recovering acoustic sources from multi-frequency far-field data. Zbl 1401.35352Wang, Xianchao; Guo, Yukun; Zhang, Deyue; Liu, Hongyu 23 2017 Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements. Zbl 1352.74148Liu, Hongyu; Petrini, Michele; Rondi, Luca; Xiao, Jingni 22 2017 On vanishing near corners of transmission eigenfunctions. Zbl 1387.35437Blåsten, Eemeli; Liu, Hongyu 21 2017 Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Zbl 1432.78008Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 20 2017 On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study. Zbl 1442.65332Blåsten, Eemeli; Li, Xiaofei; Liu, Hongyu; Wang, Yuliang 19 2017 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 16 2017 Mathematical design of a novel input/instruction device using a moving acoustic emitter. Zbl 1422.65240Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 11 2017 On three-dimensional plasmon resonances in elastostatics. Zbl 1370.35044Li, Hongjie; Liu, Hongyu 10 2017 Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data. Zbl 06759751Liu, Hongyu; Liu, Xiaodong 9 2017 On electromagnetic scattering from a penetrable corner. Zbl 1383.78021Liu, Hongyu; Xiao, Jingni 8 2017 On regularized full- and partial-cloaks in acoustic scattering. Zbl 1375.35518Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 7 2017 Decoupling elastic waves and its applications. Zbl 1368.74029Liu, Hongyu; Xiao, Jingni 7 2017 Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking. Zbl 07383750Li, Xiaofei; Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 2 2017 Nearly non-scattering electromagnetic wave set and its application. Zbl 1432.78006Liu, Hongyu; Wang, Yuliang; Zhong, Shuhui 2 2017 On the coupling of local multilevel mesh refinement and ZZ methods for unilateral frictional contact problems in elastostatics. Zbl 1439.74219Liu, H.; Ramière, I.; Lebon, F. 1 2017 Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu 36 2016 A time domain sampling method for inverse acoustic scattering problems. Zbl 1349.76610Guo, Yukun; Hömberg, Dietmar; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 13 2016 On anomalous localized resonance for the elastostatic system. Zbl 1350.35025Li, Hongjie; Liu, Hongyu 12 2016 Mathematical design of a novel gesture-based instruction/input device using wave detection. Zbl 1432.94016Liu, Hongyu; Wang, Yuliang; Yang, Can 3 2016 Generation of GHZ states with invariant-based shortcuts. Zbl 1348.81121Ye, Li-Xiang; Lin, Xiu; Chen, Xiang; He, Juan; Yang, Rong-Can; Liu, Hong-Yu 2 2016 A short remark on Chien’s variational principle of maximum power losses for viscous fluids. Zbl 1356.76058Liu, H. Y.; Si, Na; He, Ji-Huan 2 2016 Generation of singlet states with Rydberg blockade mechanism and driven by adiabatic passage. Zbl 1333.81090Yang, Rong-Can; Lin, Xiu; Ye, Li-Xiang; Chen, Xiang; He, Juan; Liu, Hong-Yu 2 2016 A numerical study of complex reconstruction in inverse elastic scattering. Zbl 1373.74055Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Wang, Qi 1 2016 Finite element method for valuation of American lookback options. Zbl 1389.91131Song, Haiming; Zhang, Qi; Li, Jingzhi; Liu, Hongyu 1 2016 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316Liu, Hongyu; Uhlmann, Gunther 26 2015 Recovering a polyhedral obstacle by a few backscattering measurements. Zbl 1330.78013Li, Jingzhi; Liu, Hongyu 20 2015 On quasi-static cloaking due to anomalous localized resonance in \(\mathbb{R}^3\). Zbl 1322.35176Li, Hongjie; Li, Jingzhi; Liu, Hongyu 20 2015 Recovering multiscale buried anomalies in a two-layered medium. Zbl 1330.78012Li, Jingzhi; Li, Peijun; Liu, Hongyu; Liu, Xiaodong 18 2015 Nearly cloaking the elastic wave fields. Zbl 1327.74026Hu, Guanghui; Liu, Hongyu 10 2015 Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak. Zbl 1325.35209Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther 9 2015 Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082Liu, Hongyu; Zhao, Hongkai; Zou, Changjian 7 2015 Regularized transformation-optics cloaking in acoustic and electromagnetic scattering. Zbl 1346.35191Liu, Hongyu; Uhlmann, Gunther 6 2015 Uniqueness in determining refractive indices by formally determined far-field data. Zbl 1330.35529Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 5 2015 Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method. Zbl 1306.78007Li, Jingzhi; Liu, Hongyu; Wang, Qi 2 2015 Generation of three-qutrit singlet states with trapped ions via adiabatic passage. Zbl 1333.81053Yang, Rong-Can; Ye, Li-Xiang; Lin, Xiu; Chen, Xiang; Liu, Hong-Yu 1 2015 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135Li, Jingzhi; Liu, Hongyu; Zou, Jun 35 2014 Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers. Zbl 1298.35213Bao, Gang; Liu, Hongyu; Zou, Jun 26 2014 Enhanced multilevel linear sampling methods for inverse scattering problems. Zbl 1349.76624Li, Jingzhi; Liu, Hongyu; Wang, Qi 20 2014 Nearly cloaking the electromagnetic fields. Zbl 1314.35181Bao, Gang; Liu, Hongyu 14 2014 Inverse elastic scattering for multiscale rigid bodies with a single far-field pattern. Zbl 1305.74046Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 10 2014 Recovering complex elastic scatterers by a single far-field pattern. Zbl 1432.35197Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 7 2014 Optimal shape for a nozzle design problem using an arbitrary Lagrangian-Eulerian finite element method. Zbl 1290.35279Li, Jingzhi; Liu, Hongyu 2 2014 Ground detection by a single electromagnetic far-field measurement. Zbl 1351.78004Li, Jingzhi; Liu, Hongyu; Sun, Yuanchang; Wang, Qi 1 2014 Numerical simulations of traveling wave solutions in a drift paradox inspired diffusive delay population model. Zbl 07312544Jackiewicz, Z.; Liu, H.; Li, B.; Kuang, Y. 1 2014 Two single-shot methods for locating multiple electromagnetic scatterers. Zbl 1323.78012Li, Jingzhi; Liu, Hongyu; Shang, Zaijiu; Sun, Hongpeng 28 2013 Enhanced near-cloak by FSH lining. Zbl 1259.35223Liu, Hongyu; Sun, Hongpeng 18 2013 Locating multiple multiscale electromagnetic scatterers by a single far-field measurement. Zbl 1302.78016Li, Jingzhi; Liu, Hongyu; Wang, Qi 13 2013 On near-cloak in acoustic scattering. Zbl 1257.35173Liu, Hongyu 10 2013 Regular scattering patterns from near-cloaking devices and their implications for invisibility cloaking. Zbl 1273.35112Kocyigit, Ilker; Liu, Hongyu; Sun, Hongpeng 5 2013 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 482 Authors 76 Liu, Hongyu 23 Li, Jingzhi 19 Ammari, Habib M. 19 Hu, Guanghui 18 Guo, Yukun 17 Deng, Youjun 16 Klibanov, Michael V. 15 Liu, Xiaodong 15 Zhang, Bo 14 Wang, Xianchao 14 Zou, Jun 12 Li, Hongjie 11 Zhang, Haiwen 10 Diao, Huaian 10 Harrach, Bastian 10 Lin, Yi-Hsuan 10 Salo, Mikko 9 Li, Jichun 9 Li, Peijun 9 Zhang, Deyue 9 Zhang, Hai 8 Huang, Yunqing 8 Ji, Xia 8 Nguyen, Hoai-Minh 8 Nguyen, Loc Hoang 7 Hong, Jialin 7 Kang, Hyeonbae 7 Lassas, Matti J. 7 Lee, Hyundae 7 Nguyen, Dinh Liem 7 Xiao, Jingni 7 Yu, SangHyeon 6 Ma, Fuming 6 Sini, Mourad 6 Sun, Jiguang 6 Uhlmann, Gunther Alberto 6 Yang, Wei 5 Bao, Gang 5 Blåsten, Emilia L. K. 5 Cao, Xinlin 5 Kolesov, Aleksandr Egorovich 5 Ruiz, Matias 5 Sun, Yajuan 5 Wang, Haibing 5 Wang, Qi 5 Wang, Yuliang 5 Zheng, Guanghui 4 Cai, Wenjun 4 Ding, Xiaohua 4 Kleefeld, Andreas 4 Leem, Koung Hee 4 Pelekanos, George 4 Rondi, Luca 4 Schütz, Jochen 4 Tsui, Wing-Yan 4 Vogelius, Michael S. 4 Wang, Yushun 4 Xu, Xiaoxu 4 Yin, Weishi 4 Zhang, Kai 3 Alekseev, Gennady V. 3 Ando, Kazunori 3 Blåsten, Eemeli 3 Cakoni, Fioralba 3 Challa, Durga Prasad 3 Chow, Yat Tin 3 Dong, Heping 3 Elschner, Johannes 3 Fitzpatrick, Brian 3 Ghosh, Tuhin 3 Kaiser, Klaus Hermann 3 Kress, Rainer 3 Lai, Ru-Yu 3 Li, Chun 3 Li, Jinhong 3 Liimatainen, Tony 3 Lim, Mikyoung 3 Liu, Jijun 3 Ma, Shiqi 3 Meftahi, Houcine 3 Meng, Pinchao 3 Nakamura, Gen 3 Pieronek, Lukas 3 Romanov, Vladimir Gavrilovich 3 Rüland, Angkana 3 Sun, Hongpeng 3 Triki, Faouzi 3 Vashisth, Manmohan 3 Wahab, Abdul Fatah 3 Wang, Jenn-Nan 3 Yang, Jiaqing 2 Alberti, Giovanni S. 2 Anastasio, Mark A. 2 Beck, Andrea D. 2 Bousba, Sara 2 Caro, Pedro 2 Chen, Lung-Hui 2 Colton, David Lem 2 Covi, Giovanni 2 Craster, Richard V. ...and 382 more Authors all top 5 Cited in 100 Serials 44 Inverse Problems 30 Journal of Computational Physics 25 Inverse Problems and Imaging 24 SIAM Journal on Applied Mathematics 19 Journal of Differential Equations 18 SIAM Journal on Mathematical Analysis 14 Electronic Research Archive 10 Applied Numerical Mathematics 10 Inverse Problems in Science and Engineering 10 SIAM Journal on Imaging Sciences 9 Journal de Mathématiques Pures et Appliquées. 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Mathematical Models & Methods in Applied Sciences 2 Mathematical Problems in Engineering 2 Science China. Mathematics 2 Journal of Spectral Theory 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mathematics in Engineering 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Sugaku Expositions 1 Numerical Algorithms 1 SIAM Review 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 St. Petersburg Mathematical Journal 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Journal of Mechanics. A. 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Series S 1 Analysis & PDE 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 International Journal of Applied and Computational Mathematics 1 SN Partial Differential Equations and Applications 1 Results in Applied Mathematics all top 5 Cited in 37 Fields 326 Partial differential equations (35-XX) 166 Optics, electromagnetic theory (78-XX) 163 Numerical analysis (65-XX) 51 Mechanics of deformable solids (74-XX) 47 Fluid mechanics (76-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Potential theory (31-XX) 14 Integral equations (45-XX) 13 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 11 Biology and other natural sciences (92-XX) 9 Information and communication theory, circuits (94-XX) 8 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 4 Functional analysis (46-XX) 4 Systems theory; control (93-XX) 3 Differential geometry (53-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year