Edit Profile (opens in new tab) Liu, Hongyu Co-Author Distance Author ID: liu.hongyu Published as: Liu, Hongyu Homepage: http://www.cityu.edu.hk/stfprofile/hyliu.htm External Links: MGP · ORCID · Google Scholar · GND Documents Indexed: 208 Publications since 2001, including 2 Books and 34 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 10 Reviews Co-Authors: 123 Co-Authors with 200 Joint Publications 3,528 Co-Co-Authors all top 5 Co-Authors 7 single-authored 40 Li, Jingzhi 24 Deng, Youjun 21 Diao, Huaian 21 Zou, Jun 15 Wang, Xianchao 14 Li, Hongjie 11 Sun, Hongpeng 10 Guo, Yukun 10 Zhang, Kai 8 Sun, Geng 8 Zheng, Guanghui 7 Cao, Xinlin 7 Uhlmann, Gunther Alberto 7 Wang, Yuliang 6 Hu, Guanghui 6 Xiao, Jingni 6 Zhang, Deyue 5 Blåsten, Emilia L. K. 5 Chow, Yat Tin 5 Ding, Minghui 5 Lin, Yi-Hsuan 5 Shang, Zaijiu 5 Wang, Qi 5 Yamamoto, Masahiro 5 Zhang, Shen 4 Jiang, Yan 4 Klibanov, Michael V. 4 Liu, Xiaodong 4 Lo, Catharine Wing Kwan 4 Yin, Weishi 3 Ammari, Habib 3 Blåsten, Eemeli 3 Fei, Xiaoxu 3 Gao, Yixian 3 He, Youzi 3 Hong, Jialin 3 Li, Jinhong 3 Li, Xiaofei 3 Ma, Shiqi 3 Meng, Pinchao 3 Meng, Qingle 3 Rondi, Luca 3 Tsou, Chun-Hsiang 3 Tsui, Wing-Yan 3 Wang, Li 3 Zhang, Ran 3 Zhou, Ting 2 Bai, Zhengjian 2 Bao, Gang 2 Chang, Yan 2 Chen, Bochao 2 Fang, Xiaoping 2 Gan, Siqing 2 Gao, Yu 2 Imanuvilov, Oleg Yu. 2 Kang, Hyeonbae 2 Liu, Xu 2 Miao, Zhiqiang 2 Sunkula, Mahesh 2 Tang, Jiexin 2 Yang, Ke 2 Yang, Wei 2 Yin, Yunwen 2 Zhang, Jiachuan 2 Zhu, Liyan 1 Ando, Kazunori 1 Borcea, Liliana 1 Chan, Robert Peng Kong 1 Chen, Rongliang 1 Ding, Xiaohua 1 Duan, Chaohua 1 Garnier, Josselin 1 Geng, Yueran 1 Gong, Rongfang 1 Harrach, Bastian 1 He, Bin 1 Hetmaniuk, Ulrich L. 1 Hömberg, Dietmar 1 Hu, Yueguang 1 Ji, Xia 1 Jiang, Shanshan 1 Kocyigit, Ilker 1 Kong, Lingzheng 1 Lai, Junjiang 1 Li, Chun 1 Li, Jinghong 1 Li, Peijun 1 Li, Yong 1 Li, Yuhan 1 Lin, Ching-Lung 1 Liu, Keji 1 Liu, Xinbo 1 Liu, Yang 1 Liu, Yubin 1 Mao, Shipeng 1 Mou, Chenchen 1 Ni, Tianhao 1 Pantong, Natee 1 Petrini, Michele 1 Qiu, Guoyong ...and 32 more Co-Authors all top 5 Serials 25 Inverse Problems 13 SIAM Journal on Applied Mathematics 10 Journal of Computational Physics 10 Journal of Differential Equations 8 Inverse Problems and Imaging 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Mathematical Analysis 4 Archive for Rational Mechanics and Analysis 4 IMA Journal of Applied Mathematics 4 Communications in Computational Physics 4 SIAM Journal on Imaging Sciences 3 Journal of Computational and Applied Mathematics 3 Northeastern Mathematical Journal 3 Calculus of Variations and Partial Differential Equations 3 Journal of Inverse and Ill-Posed Problems 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Studies in Applied Mathematics 2 Communications in Partial Differential Equations 2 Journal of Elasticity 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems 2 Multiscale Modeling & Simulation 2 Communications in Mathematical Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Numerical Mathematics: Theory, Methods and Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Biology 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 the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Mathematica Numerica Sinica 1 Journal of Computational Mathematics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 International Journal of Computer Mathematics 1 Journal of Dynamics and Differential Equations 1 Soft Computing 1 Journal of the European Mathematical Society (JEMS) 1 Acta Analysis Functionalis Applicata. AAFA 1 Discrete and Continuous Dynamical Systems. Series B 1 Panoramas et Synthèses 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Advances in Applied Mathematics and Mechanics 1 Communications in Mathematical Research 1 Science China. Mathematics 1 Journal of Spectral Theory 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 Annals of Applied Mathematics 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 158 Partial differential equations (35-XX) 86 Optics, electromagnetic theory (78-XX) 39 Numerical analysis (65-XX) 33 Mechanics of deformable solids (74-XX) 20 Fluid mechanics (76-XX) 12 Potential theory (31-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 6 Operator theory (47-XX) 5 Statistics (62-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 2,053 times in 602 Documents Cited by ▼ Year ▼ Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers. Zbl 1094.35142 Liu, Hongyu; Zou, Jun 59 2006 Strengthened linear sampling method with a reference ball. Zbl 1205.35339 Li, Jingzhi; Liu, Hongyu; Zou, Jun 49 2009 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316 Liu, Hongyu; Uhlmann, Gunther 47 2015 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135 Li, Jingzhi; Liu, Hongyu; Zou, Jun 47 2014 Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205 Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu 45 2016 Fourier method for recovering acoustic sources from multi-frequency far-field data. Zbl 1401.35352 Wang, Xianchao; Guo, Yukun; Zhang, Deyue; Liu, Hongyu 39 2017 Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225 Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu 39 2019 Virtual reshaping and invisibility in obstacle scattering. Zbl 1169.35392 Liu, Hongyu 37 2009 On vanishing near corners of transmission eigenfunctions. Zbl 1387.35437 Blåsten, Eemeli; Liu, Hongyu 35 2017 Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell’s equations, and stability in direct and inverse EM scattering problems. Zbl 1502.78020 Liu, Hongyu; Rondi, Luca; Xiao, Jingni 34 2019 Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. Zbl 1479.35838 Blåsten, Emilia L. K.; Liu, Hongyu 33 2021 Multilevel linear sampling method for inverse scattering problems. Zbl 1167.78007 Li, Jingzhi; Liu, Hongyu; Zou, Jun 32 2008 Two single-shot methods for locating multiple electromagnetic scatterers. Zbl 1323.78012 Li, Jingzhi; Liu, Hongyu; Shang, Zaijiu; Sun, Hongpeng 32 2013 Recovering multiscale buried anomalies in a two-layered medium. Zbl 1330.78012 Li, Jingzhi; Li, Peijun; Liu, Hongyu; Liu, Xiaodong 31 2015 Retrieval of acoustic sources from multi-frequency phaseless data. Zbl 1442.65336 Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 31 2018 Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262 Blåsten, Emilia; Liu, Hongyu 30 2020 Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers. Zbl 1298.35213 Bao, Gang; Liu, Hongyu; Zou, Jun 30 2014 Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering. Zbl 1126.35073 Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun 29 2007 Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements. Zbl 1352.74148 Liu, Hongyu; Petrini, Michele; Rondi, Luca; Xiao, Jingni 29 2017 On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study. Zbl 1442.65332 Blåsten, Eemeli; Li, Xiaofei; Liu, Hongyu; Wang, Yuliang 29 2017 Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Zbl 1432.78008 Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 29 2017 On quasi-static cloaking due to anomalous localized resonance in \(\mathbb{R}^3\). Zbl 1322.35176 Li, Hongjie; Li, Jingzhi; Liu, Hongyu 28 2015 The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Zbl 1084.65127 Hong, Jialin; Liu, Hongyu; Sun, Geng 27 2006 Enhanced multilevel linear sampling methods for inverse scattering problems. Zbl 1349.76624 Li, Jingzhi; Liu, Hongyu; Wang, Qi 26 2014 Recovering a polyhedral obstacle by a few backscattering measurements. Zbl 1330.78013 Li, Jingzhi; Liu, Hongyu 26 2015 On unique determination of partially coated polyhedral scatterers with far field measurements. Zbl 1111.78009 Liu, Hongyu; Zou, Jun 25 2007 A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157 Yin, Weishi; Yang, Wenhong; Liu, Hongyu 25 2020 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228 Li, Hongjie; Liu, Hongyu 23 2018 On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. Zbl 1450.35290 Diao, Huaian; Liu, Hongyu; Wang, Li 23 2020 On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328 Diao, Huaian; Cao, Xinlin; Liu, Hongyu 23 2021 Determining a random Schrödinger equation with unknown source and potential. Zbl 1419.35185 Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 23 2019 Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes. Zbl 1478.35159 Chow, Yat Tin; Deng, Youjun; He, Youzi; Liu, Hongyu; Wang, Xianchao 22 2021 A global uniqueness for formally determined inverse electromagnetic obstacle scattering. Zbl 1144.78314 Liu, Hongyu 21 2008 Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering. Zbl 1138.35072 Liu, Hongyu; Zou, Jun 21 2007 Enhanced near-cloak by FSH lining. Zbl 1259.35223 Liu, Hongyu; Sun, Hongpeng 21 2013 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 20 2017 Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015 Cao, Xinlin; Liu, Hongyu 20 2019 Mathematical design of a novel input/instruction device using a moving acoustic emitter. Zbl 1422.65240 Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 19 2017 On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. Zbl 1452.35120 Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 19 2020 Determining a random Schrödinger operator: both potential and source are random. Zbl 1527.35499 Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 19 2021 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 19 2019 On corners scattering stably and stable shape determination by a single far-field pattern. Zbl 1479.35648 Blåsten, Emilia; Liu, Hongyu 19 2021 A time domain sampling method for inverse acoustic scattering problems. Zbl 1349.76610 Guo, Yukun; Hömberg, Dietmar; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 18 2016 On anomalous localized resonance for the elastostatic system. Zbl 1350.35025 Li, Hongjie; Liu, Hongyu 17 2016 On localizing and concentrating electromagnetic fields. Zbl 1408.35180 Harrach, Bastian; Lin, Yi-Hsuan; Liu, Hongyu 17 2018 On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances. Zbl 1409.35028 Li, Hongjie; Li, Jinhong; Liu, Hongyu 17 2018 On identifying magnetized anomalies using geomagnetic monitoring. Zbl 1405.78002 Deng, Youjun; Li, Jinhong; Liu, Hongyu 17 2019 Some new additive Runge-Kutta methods and their applications. Zbl 1089.65066 Liu, Hongyu; Zou, Jun 16 2006 Nearly cloaking the electromagnetic fields. Zbl 1314.35181 Bao, Gang; Liu, Hongyu 16 2014 Locating multiple multipolar acoustic sources using the direct sampling method. Zbl 1473.65275 Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 16 2019 On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372 Deng, Youjun; Li, Hongjie; Liu, Hongyu 16 2019 Analysis of surface polariton resonance for nanoparticles in elastic system. Zbl 1436.35034 Deng, Youjun; Li, Hongjie; Liu, Hongyu 16 2020 On a local geometric property of the generalized elastic transmission eigenfunctions and application. Zbl 1479.35286 Diao, Huaian; Liu, Hongyu; Sun, Baiyi 16 2021 Locating multiple multiscale electromagnetic scatterers by a single far-field measurement. Zbl 1302.78016 Li, Jingzhi; Liu, Hongyu; Wang, Qi 16 2013 On approximate electromagnetic cloaking by transformation media. Zbl 1213.35403 Liu, Hongyu; Zhou, Ting 15 2011 Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334 Liu, Hongyu; Tsou, Chun-Hsiang 15 2020 On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Zbl 1434.35243 Deng, Youjun; Li, Jinhong; Liu, Hongyu 15 2020 On electromagnetic scattering from a penetrable corner. Zbl 1383.78021 Liu, Hongyu; Xiao, Jingni 14 2017 On an electromagnetic problem in a corner and its applications. Zbl 1480.78011 Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni 14 2021 Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647 Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang 14 2020 Inverse elastic scattering for multiscale rigid bodies with a single far-field pattern. Zbl 1305.74046 Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 13 2014 Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak. Zbl 1325.35209 Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther 13 2015 On three-dimensional plasmon resonances in elastostatics. Zbl 1370.35044 Li, Hongjie; Liu, Hongyu 13 2017 Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data. Zbl 1516.35524 Liu, Hongyu; Liu, Xiaodong 13 2017 On an artificial neural network for inverse scattering problems. Zbl 07516839 Gao, Yu; Liu, Hongyu; Wang, Xianchao; Zhang, Kai 13 2022 On regularized full- and partial-cloaks in acoustic scattering. Zbl 1375.35518 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 12 2017 Decoupling elastic waves and its applications. Zbl 1368.74029 Liu, Hongyu; Xiao, Jingni 12 2017 On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320 Liu, Hongyu 12 2022 Singular perturbation of reduced wave equation and scattering from an embedded obstacle. Zbl 1257.35174 Liu, Hongyu; Shang, Zaijiu; Sun, Hongpeng; Zou, Jun 12 2012 Nearly cloaking the elastic wave fields. Zbl 1327.74026 Hu, Guanghui; Liu, Hongyu 11 2015 Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082 Liu, Hongyu; Zhao, Hongkai; Zou, Changjian 11 2015 Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. Zbl 1416.35253 Deng, Youjun; Liu, Hongyu; Liu, Xiaodong 11 2019 Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347 Deng, Youjun; Li, Hongjie; Liu, Hongyu 11 2020 On novel geometric structures of Laplacian eigenfunctions in \(\mathbb{R}^3\) and applications to inverse problems. Zbl 1461.35167 Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 11 2021 Simultaneous recoveries for semilinear parabolic systems. Zbl 1498.35620 Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu; Zhang, Shen 11 2022 Mathematical analysis of plasmon resonances for curved nanorods. Zbl 1479.35840 Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 10 2021 Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017 Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu 10 2020 On near-cloak in acoustic scattering. Zbl 1257.35173 Liu, Hongyu 10 2013 Recovering complex elastic scatterers by a single far-field pattern. Zbl 1432.35197 Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 10 2014 Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385 Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 10 2019 Multi-symplectic Runge-Kutta-type methods for Hamiltonian wave equations. Zbl 1100.65117 Liu, Hongyu; Zhang, Kai 9 2006 Regularized transformation-optics cloaking in acoustic and electromagnetic scattering. Zbl 1346.35191 Liu, Hongyu; Uhlmann, Gunther 9 2015 An inverse scattering approach for geometric body generation: a machine learning perspective. Zbl 1435.68271 Li, Jinghong; Liu, Hongyu; Tsui, Wing-Yan; Wang, Xianchao 9 2019 On geometrical properties of electromagnetic transmission eigenfunctions and artificial mirage. Zbl 1482.35149 Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wu, Wei 9 2022 Minnaert resonances for bubbles in soft elastic materials. Zbl 1483.35254 Li, Hongjie; Liu, Hongyu; Zou, Jun 9 2022 Explicit multi-symplectic methods for Hamiltonian wave equations. Zbl 1164.65523 Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu 8 2007 Further results on generalized Holmgren’s principle to the Lamé operator and applications. Zbl 1483.35250 Diao, Huaian; Liu, Hongyu; Wang, Li 8 2022 On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133 Ji, Xia; Liu, Hongyu 8 2018 Fourier method for identifying electromagnetic sources with multi-frequency far-field data. Zbl 1415.35292 Wang, Xianchao; Song, Minghui; Guo, Yukun; Li, Hongjie; Liu, Hongyu 8 2019 Enhanced approximate cloaking by SH and FSH lining. Zbl 1250.78025 Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 7 2012 New reflection principles for Maxwell’s equations and their applications. Zbl 1187.78037 Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun 7 2009 Nearly non-scattering electromagnetic wave set and its application. Zbl 1432.78006 Liu, Hongyu; Wang, Yuliang; Zhong, Shuhui 7 2017 On new surface-localized transmission eigenmodes. Zbl 1487.35266 Deng, Youjun; Jiang, Yan; Liu, Hongyu; Zhang, Kai 7 2022 Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. Zbl 1456.35192 Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun 7 2021 Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. Zbl 1485.35419 Ammari, Habib; Chow, Yat Tin; Liu, Hongyu 7 2022 On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218 Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 7 2018 Two dimensional invisibility cloaking via transformation optics. Zbl 1226.35016 Liu, Hongyu; Zhou, Ting 6 2011 On recovering polyhedral scatterers with acoustic far-field measurements. Zbl 1169.76346 Liu, Hongyu 6 2009 A globally accelerated numerical method for optical tomography with continuous wave source. Zbl 1152.34312 Shan, H.; Klibanov, M. V.; Su, J.; Pantong, N.; Liu, H. 6 2008 Uniqueness in determining refractive indices by formally determined far-field data. Zbl 1330.35529 Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 6 2015 A neural network method for time-dependent inverse source problem with limited-aperture data. Zbl 1498.65152 Zhang, Ping; Meng, Pinchao; Yin, Weishi; Liu, Hongyu 5 2023 Inverse problems for mean field games. Zbl 1520.91050 Liu, Hongyu; Mou, Chenchen; Zhang, Shen 3 2023 Boundary localization of transmission eigenfunctions in spherically stratified media. Zbl 07702838 Jiang, Yan; Liu, Hongyu; Zhang, Jiachuan; Zhang, Kai 2 2023 Quantum ergodicity and localization of plasmon resonances. Zbl 07687704 Ammari, Habib; Chow, Yat Tin; Liu, Hongyu 2 2023 Surface concentration of transmission eigenfunctions. Zbl 1517.35141 Chow, Yat Tin; Deng, Youjun; Liu, Hongyu; Sunkula, Mahesh 2 2023 On inverse problems for several coupled PDE systems arising in mathematical biology. Zbl 07782537 Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui 1 2023 Recovering source location, polarization, and shape of obstacle from elastic scattering data. Zbl 07705921 Chang, Yan; Guo, Yukun; Liu, Hongyu; Zhang, Deyue 1 2023 Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications. Zbl 1520.35109 Diao, Huaian; Li, Hongjie; Liu, Hongyu; Tang, Jiexin 1 2023 On an artificial neural network for inverse scattering problems. Zbl 07516839 Gao, Yu; Liu, Hongyu; Wang, Xianchao; Zhang, Kai 13 2022 On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320 Liu, Hongyu 12 2022 Simultaneous recoveries for semilinear parabolic systems. Zbl 1498.35620 Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu; Zhang, Shen 11 2022 On geometrical properties of electromagnetic transmission eigenfunctions and artificial mirage. Zbl 1482.35149 Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wu, Wei 9 2022 Minnaert resonances for bubbles in soft elastic materials. Zbl 1483.35254 Li, Hongjie; Liu, Hongyu; Zou, Jun 9 2022 Further results on generalized Holmgren’s principle to the Lamé operator and applications. Zbl 1483.35250 Diao, Huaian; Liu, Hongyu; Wang, Li 8 2022 On new surface-localized transmission eigenmodes. Zbl 1487.35266 Deng, Youjun; Jiang, Yan; Liu, Hongyu; Zhang, Kai 7 2022 Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. Zbl 1485.35419 Ammari, Habib; Chow, Yat Tin; Liu, Hongyu 7 2022 The interior inverse scattering problem for a two-layered cavity using the Bayesian method. Zbl 1494.78012 Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu 6 2022 Effective medium theory for embedded obstacles in elasticity with applications to inverse problems. Zbl 1495.35024 Meng, Qingle; Bai, Zhengjian; Diao, Huaian; Liu, Hongyu 5 2022 Plasmon resonances of nanorods in transverse electromagnetic scattering. Zbl 1495.35162 Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 5 2022 Shape reconstructions by using plasmon resonances. Zbl 1486.65230 Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui 5 2022 Stable determination of an elastic medium scatterer by a single far-field measurement and beyond. Zbl 1501.35390 Bai, Zhengjian; Diao, Huaian; Liu, Hongyu; Meng, Qingle 5 2022 On vanishing near corners of conductive transmission eigenfunctions. Zbl 1481.35301 Deng, Youjun; Duan, Chaohua; Liu, Hongyu 4 2022 Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions. Zbl 1492.35428 Liu, Hongyu; Tsou, Chun-Hsiang 4 2022 Numerical methods for semilinear fractional diffusion equations with time delay. Zbl 1499.65446 Yang, Shuiping; Liu, Yubin; Liu, Hongyu; Wang, Chao 3 2022 On a hybrid approach for recovering multiple obstacles. Zbl 1482.62044 Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu 3 2022 Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries. Zbl 1512.35655 Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 2 2022 Modal approximation for time-domain elastic scattering from metamaterial quasiparticles. Zbl 1496.74082 Chen, Bochao; Gao, Yixian; Liu, Hongyu 1 2022 Gradient estimates for electric fields with multiscale inclusions in the quasi-static regime. Zbl 1497.35186 Deng, Youjun; Fang, Xiaoping; Liu, Hongyu 1 2022 Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. Zbl 1479.35838 Blåsten, Emilia L. K.; Liu, Hongyu 33 2021 On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328 Diao, Huaian; Cao, Xinlin; Liu, Hongyu 23 2021 Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes. Zbl 1478.35159 Chow, Yat Tin; Deng, Youjun; He, Youzi; Liu, Hongyu; Wang, Xianchao 22 2021 Determining a random Schrödinger operator: both potential and source are random. Zbl 1527.35499 Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 19 2021 On corners scattering stably and stable shape determination by a single far-field pattern. Zbl 1479.35648 Blåsten, Emilia; Liu, Hongyu 19 2021 On a local geometric property of the generalized elastic transmission eigenfunctions and application. Zbl 1479.35286 Diao, Huaian; Liu, Hongyu; Sun, Baiyi 16 2021 On an electromagnetic problem in a corner and its applications. Zbl 1480.78011 Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni 14 2021 On novel geometric structures of Laplacian eigenfunctions in \(\mathbb{R}^3\) and applications to inverse problems. Zbl 1461.35167 Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 11 2021 Mathematical analysis of plasmon resonances for curved nanorods. Zbl 1479.35840 Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 10 2021 Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. Zbl 1456.35192 Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun 7 2021 On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355 Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei 6 2021 On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003 Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke 4 2021 Sharp estimate of electric field from a conductive rod and application. Zbl 1466.78011 Fang, Xiaoping; Deng, Youjun; Liu, Hongyu 4 2021 Simultaneous recovery of surface heat flux and thickness of a solid structure by ultrasonic measurements. Zbl 1478.35236 Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wei, Dong; Zhu, Liyan 3 2021 Design and finite element simulation of information-open cloaking devices. Zbl 07510058 Wang, Hao; Yang, Wei; He, Bin; Liu, Hongyu 2 2021 Three-dimensional elastic scattering coefficients and enhancement of the elastic near cloaking. Zbl 1466.35273 Liu, Hongyu; Tsui, Wing Yan; Wahab, Abdul; Wang, Xianchao 2 2021 Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262 Blåsten, Emilia; Liu, Hongyu 30 2020 A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157 Yin, Weishi; Yang, Wenhong; Liu, Hongyu 25 2020 On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. Zbl 1450.35290 Diao, Huaian; Liu, Hongyu; Wang, Li 23 2020 On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. Zbl 1452.35120 Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 19 2020 Analysis of surface polariton resonance for nanoparticles in elastic system. Zbl 1436.35034 Deng, Youjun; Li, Hongjie; Liu, Hongyu 16 2020 Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334 Liu, Hongyu; Tsou, Chun-Hsiang 15 2020 On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Zbl 1434.35243 Deng, Youjun; Li, Jinhong; Liu, Hongyu 15 2020 Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647 Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang 14 2020 Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347 Deng, Youjun; Li, Hongjie; Liu, Hongyu 11 2020 Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017 Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu 10 2020 Identifying varying magnetic anomalies using geomagnetic monitoring. Zbl 1448.35494 Deng, Youjun; Liu, Hongyu; Tsui, Wing-Yan 4 2020 Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225 Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu 39 2019 Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell’s equations, and stability in direct and inverse EM scattering problems. Zbl 1502.78020 Liu, Hongyu; Rondi, Luca; Xiao, Jingni 34 2019 Determining a random Schrödinger equation with unknown source and potential. Zbl 1419.35185 Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 23 2019 Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015 Cao, Xinlin; Liu, Hongyu 20 2019 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 19 2019 On identifying magnetized anomalies using geomagnetic monitoring. Zbl 1405.78002 Deng, Youjun; Li, Jinhong; Liu, Hongyu 17 2019 Locating multiple multipolar acoustic sources using the direct sampling method. Zbl 1473.65275 Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 16 2019 On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372 Deng, Youjun; Li, Hongjie; Liu, Hongyu 16 2019 Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. Zbl 1416.35253 Deng, Youjun; Liu, Hongyu; Liu, Xiaodong 11 2019 Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385 Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 10 2019 An inverse scattering approach for geometric body generation: a machine learning perspective. Zbl 1435.68271 Li, Jinghong; Liu, Hongyu; Tsui, Wing-Yan; Wang, Xianchao 9 2019 Fourier method for identifying electromagnetic sources with multi-frequency far-field data. Zbl 1415.35292 Wang, Xianchao; Song, Minghui; Guo, Yukun; Li, Hongjie; Liu, Hongyu 8 2019 On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution. Zbl 1430.35068 Liu, Hongyu; Liu, Xiaodong; Wang, Xianchao; Wang, Yuliang 6 2019 The decoupling of elastic waves from a weak formulation perspective. Zbl 1465.35196 Lai, Junjiang; Liu, Hongyu; Xiao, Jingni; Xu, Yifeng 2 2019 On an inverse elastic wave imaging scheme for nearly incompressible materials. Zbl 1471.74038 Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 2 2019 Retrieval of acoustic sources from multi-frequency phaseless data. Zbl 1442.65336 Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 31 2018 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228 Li, Hongjie; Liu, Hongyu 23 2018 On localizing and concentrating electromagnetic fields. Zbl 1408.35180 Harrach, Bastian; Lin, Yi-Hsuan; Liu, Hongyu 17 2018 On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances. Zbl 1409.35028 Li, Hongjie; Li, Jinhong; Liu, Hongyu 17 2018 On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133 Ji, Xia; Liu, Hongyu 8 2018 On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218 Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 7 2018 Fourier method for recovering acoustic sources from multi-frequency far-field data. Zbl 1401.35352 Wang, Xianchao; Guo, Yukun; Zhang, Deyue; Liu, Hongyu 39 2017 On vanishing near corners of transmission eigenfunctions. Zbl 1387.35437 Blåsten, Eemeli; Liu, Hongyu 35 2017 Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements. Zbl 1352.74148 Liu, Hongyu; Petrini, Michele; Rondi, Luca; Xiao, Jingni 29 2017 On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study. Zbl 1442.65332 Blåsten, Eemeli; Li, Xiaofei; Liu, Hongyu; Wang, Yuliang 29 2017 Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Zbl 1432.78008 Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 29 2017 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 20 2017 Mathematical design of a novel input/instruction device using a moving acoustic emitter. Zbl 1422.65240 Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 19 2017 On electromagnetic scattering from a penetrable corner. Zbl 1383.78021 Liu, Hongyu; Xiao, Jingni 14 2017 On three-dimensional plasmon resonances in elastostatics. Zbl 1370.35044 Li, Hongjie; Liu, Hongyu 13 2017 Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data. Zbl 1516.35524 Liu, Hongyu; Liu, Xiaodong 13 2017 On regularized full- and partial-cloaks in acoustic scattering. Zbl 1375.35518 Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 12 2017 Decoupling elastic waves and its applications. Zbl 1368.74029 Liu, Hongyu; Xiao, Jingni 12 2017 Nearly non-scattering electromagnetic wave set and its application. Zbl 1432.78006 Liu, Hongyu; Wang, Yuliang; Zhong, Shuhui 7 2017 Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking. Zbl 1486.78003 Li, Xiaofei; Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 6 2017 Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205 Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu 45 2016 A time domain sampling method for inverse acoustic scattering problems. Zbl 1349.76610 Guo, Yukun; Hömberg, Dietmar; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 18 2016 On anomalous localized resonance for the elastostatic system. Zbl 1350.35025 Li, Hongjie; Liu, Hongyu 17 2016 Mathematical design of a novel gesture-based instruction/input device using wave detection. Zbl 1432.94016 Liu, Hongyu; Wang, Yuliang; Yang, Can 5 2016 A numerical study of complex reconstruction in inverse elastic scattering. Zbl 1373.74055 Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Wang, Qi 1 2016 Finite element method for valuation of American lookback options. Zbl 1389.91131 Song, Haiming; Zhang, Qi; Li, Jingzhi; Liu, Hongyu 1 2016 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316 Liu, Hongyu; Uhlmann, Gunther 47 2015 Recovering multiscale buried anomalies in a two-layered medium. Zbl 1330.78012 Li, Jingzhi; Li, Peijun; Liu, Hongyu; Liu, Xiaodong 31 2015 On quasi-static cloaking due to anomalous localized resonance in \(\mathbb{R}^3\). Zbl 1322.35176 Li, Hongjie; Li, Jingzhi; Liu, Hongyu 28 2015 Recovering a polyhedral obstacle by a few backscattering measurements. Zbl 1330.78013 Li, Jingzhi; Liu, Hongyu 26 2015 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 687 Authors 115 Liu, Hongyu 27 Li, Jingzhi 25 Deng, Youjun 24 Guo, Yukun 24 Liu, Xiaodong 22 Ammari, Habib 21 Hu, Guanghui 21 Zhang, Bo 20 Klibanov, Michael V. 18 Wang, Xianchao 18 Zou, Jun 17 Lin, Yi-Hsuan 14 Diao, Huaian 14 Li, Hongjie 14 Li, Peijun 14 Zhang, Deyue 12 Harrach, Bastian 12 Ji, Xia 12 Nguyen, Loc Hoang 12 Salo, Mikko 11 Yang, Wei 11 Zhang, Haiwen 10 Lassas, Matti J. 10 Li, Jichun 9 Hong, Jialin 9 Huang, Yunqing 9 Ma, Fuming 9 Xiao, Jingni 9 Zhang, Hai 9 Zheng, Guanghui 8 Kang, Hyeonbae 8 Nguyen, Dinh Liem 8 Nguyen, Hoai-Minh 8 Sini, Mourad 8 Wang, Haibing 7 Blåsten, Emilia L. K. 7 Dong, Heping 7 Lee, Hyundae 7 Sun, Jiguang 7 Uhlmann, Gunther Alberto 7 Wang, Xu 7 Wang, Yuliang 7 Yin, Weishi 7 Yu, SangHyeon 7 Zhang, Kai 6 Cao, Xinlin 6 Chen, Bo 6 Fang, Xiaoping 6 Kow, Pu-Zhao 6 Li, Jianliang 6 Lim, Mikyoung 6 Meng, Pinchao 6 Vogelius, Michael S. 6 Wang, Jenn-Nan 6 Wang, Yushun 5 Bao, Gang 5 Cai, Wenjun 5 Cakoni, Fioralba 5 Chow, Yat Tin 5 Kleefeld, Andreas 5 Kolesov, Aleksandr Egorovich 5 Liimatainen, Tony 5 Liu, Jun 5 Ma, Shiqi 5 Nakamura, Gen 5 Romanov, Vladimir Gavrilovich 5 Rondi, Luca 5 Ruiz, Matias 5 Schütz, Jochen 5 Sun, Yajuan 5 Wang, Qi 5 Yang, Jiaqing 4 Alberti, Giovanni S. 4 Blåsten, Eemeli 4 Chang, Yan 4 Ding, Xiaohua 4 Ghosh, Tuhin 4 Kian, Yavar 4 Lai, Jun 4 Leem, Koung Hee 4 Pelekanos, George 4 Pieronek, Lukas 4 Pohjola, Valter 4 Santacesaria, Matteo 4 Tsui, Wing-Yan 4 Wang, Hao 4 Wang, Yinglin 4 Xu, Xiaoxu 4 Yamamoto, Masahiro 3 Alekseev, Gennady V. 3 Ando, Kazunori 3 Beretta, Elena 3 Challa, Durga Prasad 3 Chen, Lung-Hui 3 Chen, Rongliang 3 Cui, Yanli 3 Ding, Minghui 3 Eberle-Blick, Sarah 3 Elschner, Johannes 3 Fitzpatrick, Brian ...and 587 more Authors all top 5 Cited in 128 Serials 69 Inverse Problems 44 Journal of Computational Physics 39 Inverse Problems and Imaging 32 SIAM Journal on Applied Mathematics 26 SIAM Journal on Mathematical Analysis 21 Journal of Differential Equations 19 Electronic Research Archive 16 SIAM Journal on Imaging Sciences 11 Journal of Mathematical Analysis and Applications 11 Applied Numerical Mathematics 11 Journal de Mathématiques Pures et Appliquées. 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Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 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 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Integral Transforms and Special Functions ...and 28 more Serials all top 5 Cited in 38 Fields 473 Partial differential equations (35-XX) 220 Optics, electromagnetic theory (78-XX) 214 Numerical analysis (65-XX) 80 Mechanics of deformable solids (74-XX) 53 Fluid mechanics (76-XX) 24 Integral equations (45-XX) 24 Operator theory (47-XX) 20 Potential theory (31-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Quantum theory (81-XX) 16 Probability theory and stochastic processes (60-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Ordinary differential equations (34-XX) 14 Biology and other natural sciences (92-XX) 12 Computer science (68-XX) 11 Statistics (62-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Information and communication theory, circuits (94-XX) 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 7 Real functions (26-XX) 6 Integral transforms, operational calculus (44-XX) 6 Differential geometry (53-XX) 6 Geophysics (86-XX) 6 Systems theory; control (93-XX) 5 Mechanics of particles and systems (70-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 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 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year