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Author ID: liu.hongyu Recent zbMATH articles by "Liu, Hongyu"
Published as: Liu, Hongyu
Homepage: http://www.cityu.edu.hk/stfprofile/hyliu.htm
External Links: MGP · ORCID · Google Scholar · GND
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
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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

Publications by Year

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 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
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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. Neuvième Série
11 Inverse Problems in Science and Engineering
10 Journal of Inverse and Ill-Posed Problems
9 Applicable Analysis
9 Archive for Rational Mechanics and Analysis
9 Multiscale Modeling & Simulation
8 Computers & Mathematics with Applications
8 Journal of Computational and Applied Mathematics
8 Journal of Scientific Computing
7 Mathematical Methods in the Applied Sciences
7 Applied Mathematics and Computation
7 Advances in Applied Mathematics and Mechanics
6 Journal of Mathematical Physics
6 Calculus of Variations and Partial Differential Equations
6 Communications in Computational Physics
5 Journal of Functional Analysis
5 Numerische Mathematik
5 Journal of Nonlinear Mathematical Physics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Research in the Mathematical Sciences
4 Communications in Mathematical Physics
4 Communications on Pure and Applied Mathematics
4 Transactions of the American Mathematical Society
4 Acta Mathematicae Applicatae Sinica. English Series
4 Communications in Partial Differential Equations
4 International Journal of Computer Mathematics
4 Journal of Elasticity
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Journal of Spectral Theory
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 SIAM Journal on Numerical Analysis
3 Studies in Applied Mathematics
3 Applied Mathematics Letters
3 European Journal of Applied Mathematics
3 Computational Mathematics and Mathematical Physics
3 Computational and Applied Mathematics
3 Analysis & PDE
3 East Asian Journal on Applied Mathematics
2 Mathematics of Computation
2 Applied Mathematics and Optimization
2 Mathematische Annalen
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quarterly of Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Analysis and Applications (Singapore)
2 International Journal of Computational Methods
2 Boundary Value Problems
2 Networks and Heterogeneous Media
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
2 Forum of Mathematics, Sigma
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Mathematics in Engineering
2 Pure and Applied Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Geophysical and Astrophysical Fluid Dynamics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Nonlinearity
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 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
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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