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## Xu, Yongzhi S.

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 Author ID: xu.yongzhi-s Published as: Xu, Y.; Xu, Y. S.; Xu, Y. Z.; Xu, Yongzhi; Xu, Yongzhi S. Homepage: http://www.math.louisville.edu/~yxu/home.htm
 Documents Indexed: 110 Publications since 1986, including 5 Books
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#### Co-Authors

 25 single-authored 32 Gilbert, Robert Pertsch 11 Wirgin, Armand 9 Buchanan, James L. 5 Liu, Keji 4 Li, Heng 4 Lin, Wei 4 Zou, Jun 3 Belinsky, Boris P. 3 Cochran, John M. 3 Groby, Jean-Philippe 3 Mawata, Christopher Peter 3 Zhao, Yuqiu 3 Zhou, Jianrong 2 Hapuarachchi, Sujeewa 2 Liu, Lihan 2 Ogam, Erick 2 Qiao, Yuying 2 Qin, Yuehai 2 Xu, Dinghua 2 Yan, Yi 1 Chen, Baoyao 1 Cheng, Jin 1 Dauer, Jerald P. 1 De Ryck, L. 1 Hackl, Klaus 1 He, Min 1 Hu, Changbing 1 Lauriks, Walter 1 Leclaire, P. 1 Li, Xiumin 1 Lin, Juan 1 Liu, Ying 1 Mai, Zhiben 1 Scotti, Thierry 1 Shi, Peter 1 Swanson, David 1 Thejll, Peter 1 Werby, Michael F. 1 Wood, David Harlan 1 Yamamoto, Masahiro 1 Yang, Heju 1 Zeev, Noam 1 Zhang, Ningshan 1 Zhang, Shangyou
all top 5

#### Serials

 19 Applicable Analysis 12 Mathematical Methods in the Applied Sciences 5 Mathematical and Computer Modelling 5 Journal of Computational Acoustics 5 Complex Variables and Elliptic Equations 3 Inverse Problems 3 Complex Variables. Theory and Application 2 Wave Motion 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Elasticity 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Journal of Mathematical Research & Exposition 1 Acta Scientiarum Naturalium Universitatis Sunyatseni 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Chimie, Astronomie 1 Discrete and Continuous Dynamical Systems. Series B 1 Inverse Problems in Science and Engineering 1 Journal of Applied Functional Analysis 1 Advances and Applications in Mathematical Sciences
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#### Fields

 59 Partial differential equations (35-XX) 37 Fluid mechanics (76-XX) 19 Biology and other natural sciences (92-XX) 18 Geophysics (86-XX) 15 Mechanics of deformable solids (74-XX) 10 Numerical analysis (65-XX) 8 Functions of a complex variable (30-XX) 5 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 326 times in 163 Documents Cited by Year
Marine acoustics. Direct and inverse problems. Zbl 1055.35134
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi S.
2004
Generalized dual space indicator method for underwater imaging. Zbl 0978.35099
Xu, Yongzhi; Mawata, Christopher; Lin, Wei
2000
A free boundary problem model of ductal carcinoma in situ. Zbl 1050.35158
Xu, Yongzhi
2004
A multilevel sampling method for detecting sources in a stratified ocean waveguide. Zbl 1344.35171
Liu, Keji; Xu, Yongzhi; Zou, Jun
2017
Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity. Zbl 0833.76070
Xu, Yongzhi
1995
The propagation problem and far-field patterns in a stratified finite- depth ocean. Zbl 0702.35196
Gilbert, R. P.; Xu, Yongzhi
1990
Stability of a class of Runge–Kutta methods for a family of pantograph equations of neutral type. Zbl 1168.65371
Zhao, J. J.; Xu, Y.; Wang, H. X.; Liu, M. Z.
2006
The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean. Zbl 0715.35023
Xu, Yongzhi
1990
Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite depth ocean. Zbl 0682.76010
Gilbert, R. P.; Xu, Yongzhi
1989
Starting fields and far fields in ocean acoustics. Zbl 0850.76653
Gilbert, Robert P.; Xu, Yongzhi
1989
A parallel radial bisection algorithm for inverse scattering problems. Zbl 1269.65116
Liu, Keji; Xu, Yongzhi; Zou, Jun
2013
Imaging wave-penetrable objects in a finite depth ocean. Zbl 1334.76141
Liu, Keji; Xu, Yongzhi; Zou, Jun
2014
Some inverse problems raised from a mathematical model of ductal carcinoma in situ. Zbl 1165.65388
Xu, Yongzhi; Gilbert, Robert
2009
A free boundary problem of diffusion equation with integral condition. Zbl 1122.35157
Xu, Y.
2006
Acoustic imaging in a shallow ocean with a thin ice cap. Zbl 0968.35126
Gilbert, Robert P.; Xu, Yongzhi
2000
A free boundary problem of parabolic complex equation. Zbl 1122.35158
Xu, Yongzhi
2006
Determination of a buried object in a two-layered shallow ocean. Zbl 1360.76244
Gilbert, Robert P.; Werby, Michael; Xu, Yongzhi
2001
Reciprocity relations and completeness of far-field pattern vectors for obstacle scattering of acoustic wave in a stratified medium. Zbl 0818.35076
Xu, Yongzhi
1995
Identification by the intersecting canonical domain method, of the size, shape and depth of a soft body of revolution located within an acoustic waveguide. Zbl 0968.35123
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi
2000
Green’s function representation for acoustic pressure over a poroelastic seabed. Zbl 0897.73012
Buchanan, James L.; Gilbert, Robert P.; Xu, Yongzhi
1997
Inverse scattering of acoustic waves in an ocean with ice cover. Zbl 0865.35138
Belinskiy, Boris; Dauer, Jerald P.; Xu, Yongzhi
1996
Decoupling of the quasistatic system of thermoelasticity on the unit disk. Zbl 0784.73011
Shi, Peter; Xu, Yongzhi
1993
An inverse problem for harmonic acoustics in stratified oceans. Zbl 0803.35158
Gilbert, Robert P.; Xu, Yongzhi
1993
Dirichlet problems for a class of second order nonlinear elliptic systems. Zbl 0739.35021
Xu, Yongzhi
1990
Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide. Zbl 1384.35145
Liu, Keji; Xu, Yongzhi; Zou, Jun
2018
An inverse problem for the free boundary model of ductal carcinoma in situ. Zbl 1187.35287
Xu, Y. S.
2009
A mathematical model of ductal carcinoma in situ and its characteristic patterns. Zbl 1087.92045
Xu, Yongzhi
2005
Transient reflection and transmission of ultrasonic wave in cancellous bone. Zbl 1070.74029
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi
2003
Scattering of acoustic waves by an obstacle in a stratified medium. Zbl 0796.35125
Xu, Y.
1992
Generalized Herglotz functions and inverse scattering problems in a finite depth ocean. Zbl 0799.35222
Gilbert, R. P.; Xu, Yongzhi
1992
An injective far-field pattern operator and inverse scattering problem in a finite depth ocean. Zbl 0724.35111
Xu, Yongzhi
1991
Backward heat equation with time dependent variable coefficient. Zbl 1364.35431
Hapuarachchi, Sujeewa; Xu, Yongzhi
2017
Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions. Zbl 1335.35094
Zhou, Jian-Rong; Li, Heng; Xu, Yongzhi
2016
Clifford analysis with higher order kernel over unbounded domains. Zbl 1203.30057
Li, X.; Qiao, Y.; Xu, Y.
2008
Inverse acoustic scattering problems in ocean environments. Zbl 1360.76317
Xu, Yongzhi
1999
The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed. Zbl 0873.35106
Gilbert, R. P.; Xu, Yongzhi
1996
An approximation scheme for the three-dimensional scattered wave and its propagating far-field pattern in a finite depth ocean. Zbl 0765.76079
Gilbert, R. P.; Xu, Y.; Thejll, P.
1992
Construction of approximations to acoustic Green’s functions for nonhomogeneous oceans using transmutation. Zbl 0638.76095
Gilbert, Robert P.; Xu, Yongzhi; Wood, David H.
1988
The logarithmic vector multiplicative error model: an application to high frequency NYSE stock data. Zbl 1402.91927
Taylor, N.; Xu, Y.
2017
On the shear stress function and the critical value of the Blasius problem. Zbl 1277.76013
Yang, G. C.; Xu, Y. Z.; Dang, L. F.
2012
Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis. Zbl 1238.30036
Qiao, Yuying; Xu, Yongzhi; Yang, Heju
2012
Viscosity dominated flows with temperature-dependent thermal conductivity. Zbl 1080.35047
Fang, Ming; Gilbert, Robert P.; Xu, Yongzhi S.
2005
A note on the uniqueness of the propagating solution for acoustic waves in a finite depth ocean. Zbl 0923.76280
Xu, Yongzhi
1997
Identification of a 3D object in a shallow sea from scattered sound. Zbl 0894.76077
Gilbert, Robert P.; Scotti, Thierry; Wirgin, Armand; Xu, Yongzhi S.
1997
A boundary integral method for acoustic source localization in a waveguide with inclusions. Zbl 1360.76177
Xu, Yongzhi; Yan, Yi
1994
An approximate boundary integral method for acoustic scattering in shallow oceans. Zbl 1360.76318
Xu, Yongzhi; Yan, Yi
1993
A function theory for thin elastic shells. Zbl 0692.73051
Gilbert, Robert P.; Xu, Yongzhi
1989
Ritz-Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition. Zbl 1418.65121
Zhou, Jianrong; Li, Heng; Xu, Yongzhi
2019
Extremal properties of the multivariate extended skew-normal distribution. Part B. Zbl 1412.62052
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Extremal properties of the univariate extended skew-normal distribution. Part A. Zbl 1412.62051
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Size- and shape-dependent effective conductivity of porous media with spheroidal gas-filled inclusions. Zbl 1397.74061
Le Quang, H.; Xu, Y.; He, Q.-C.
2018
A free boundary problem arising from DCIS mathematical model. Zbl 1370.35155
Li, Heng; Xu, Yongzhi; Zhou, Jian-Rong
2017
A temperature-dependent age-structured mosquito life-cycle model. Zbl 1243.37064
Cochran, John M.; Xu, Yongzhi
2012
Recovery of a material parameter of a soft elastic layer. Zbl 1309.74039
Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi
2012
Computing porosity of cancellous bone using ultrasonic waves. II: The muscle, cortical, cancellous bone system. Zbl 1185.74059
Gilbert, Robert P.; Liu, Ying; Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi
2009
Use of specific Green’s functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves. Zbl 1137.76051
Groby, J.-P.; De Ryck, L.; Leclaire, P.; Wirgin, A.; Lauriks, W.; Gilbert, R. P.; Xu, Y. S.
2007
Inverse problem for wave propagation in a perturbed layered half-space. Zbl 1130.74024
Gilbert, Robert; Hackl, Klaus; Xu, Yongzhi
2007
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
2007
Focused ultrasonic wave in submerged cancellous bone. Zbl 1198.74037
Gilbert, Robert P.; Lin, Wei; Xu, Yongzhi
2005
Green’s function for the Helmholtz equation in a layered half-space. Zbl 1188.35051
Gilbert, Robert; Xu, Yongzhi
2005
Depth sounding: An illustration of some of the pitfalls of inverse scattering problems. Zbl 1109.62367
Buchanan, J.; Gilbert, R.; Wirgin, A.; Xu, Y.
2002
Nonlinear surface spin waves on ferromagnetic media with inhomogeneous exchange anisotropies: soliton solutions. Zbl 0972.35143
Xu, Y.; Su, G.; Xue, D.-S.; Xing, H.-Z.; Li, F.-S.
2001
Continuity and determination of parameters for quasistatic thermoelastic system. Zbl 1163.74490
He, Min; Xu, Yongzhi
2000
Determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. Zbl 0964.35177
Gilbert, Robert P.; Mawata, Christopher; Xu, Yongzhi
2000
The unidentified object problem in a shallow ocean with a fluid-like sediment layer overlying a rigid seabed. Zbl 1034.35149
Buchanan, James L.; Gilbert, R. P.; Wirgin, A.; Xu, Yongzhi S.
1999
Some inverse problems in stratified media. Zbl 0911.35122
Xu, Y.
1998
An inverse obstacle scattering problem in a stratified medium. Zbl 0904.35065
Xu, Yongzhi
1998
The seamount problem. Zbl 0886.35169
Gilbert, R. P.; Xu, Yongzhi S.
1996
Generalized ($$\lambda$$ ,k) bi-analytic functions and Riemann-Hilbert problem for a class of nonlinear second order elliptic systems. Zbl 0576.35038
Xu, Yongzhi
1987
Ritz-Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition. Zbl 1418.65121
Zhou, Jianrong; Li, Heng; Xu, Yongzhi
2019
Extremal properties of the multivariate extended skew-normal distribution. Part B. Zbl 1412.62052
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Extremal properties of the univariate extended skew-normal distribution. Part A. Zbl 1412.62051
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide. Zbl 1384.35145
Liu, Keji; Xu, Yongzhi; Zou, Jun
2018
Size- and shape-dependent effective conductivity of porous media with spheroidal gas-filled inclusions. Zbl 1397.74061
Le Quang, H.; Xu, Y.; He, Q.-C.
2018
A multilevel sampling method for detecting sources in a stratified ocean waveguide. Zbl 1344.35171
Liu, Keji; Xu, Yongzhi; Zou, Jun
2017
Backward heat equation with time dependent variable coefficient. Zbl 1364.35431
Hapuarachchi, Sujeewa; Xu, Yongzhi
2017
The logarithmic vector multiplicative error model: an application to high frequency NYSE stock data. Zbl 1402.91927
Taylor, N.; Xu, Y.
2017
A free boundary problem arising from DCIS mathematical model. Zbl 1370.35155
Li, Heng; Xu, Yongzhi; Zhou, Jian-Rong
2017
Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions. Zbl 1335.35094
Zhou, Jian-Rong; Li, Heng; Xu, Yongzhi
2016
Imaging wave-penetrable objects in a finite depth ocean. Zbl 1334.76141
Liu, Keji; Xu, Yongzhi; Zou, Jun
2014
A parallel radial bisection algorithm for inverse scattering problems. Zbl 1269.65116
Liu, Keji; Xu, Yongzhi; Zou, Jun
2013
On the shear stress function and the critical value of the Blasius problem. Zbl 1277.76013
Yang, G. C.; Xu, Y. Z.; Dang, L. F.
2012
Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis. Zbl 1238.30036
Qiao, Yuying; Xu, Yongzhi; Yang, Heju
2012
A temperature-dependent age-structured mosquito life-cycle model. Zbl 1243.37064
Cochran, John M.; Xu, Yongzhi
2012
Recovery of a material parameter of a soft elastic layer. Zbl 1309.74039
Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi
2012
Some inverse problems raised from a mathematical model of ductal carcinoma in situ. Zbl 1165.65388
Xu, Yongzhi; Gilbert, Robert
2009
An inverse problem for the free boundary model of ductal carcinoma in situ. Zbl 1187.35287
Xu, Y. S.
2009
Computing porosity of cancellous bone using ultrasonic waves. II: The muscle, cortical, cancellous bone system. Zbl 1185.74059
Gilbert, Robert P.; Liu, Ying; Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi
2009
Clifford analysis with higher order kernel over unbounded domains. Zbl 1203.30057
Li, X.; Qiao, Y.; Xu, Y.
2008
Use of specific Green’s functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves. Zbl 1137.76051
Groby, J.-P.; De Ryck, L.; Leclaire, P.; Wirgin, A.; Lauriks, W.; Gilbert, R. P.; Xu, Y. S.
2007
Inverse problem for wave propagation in a perturbed layered half-space. Zbl 1130.74024
Gilbert, Robert; Hackl, Klaus; Xu, Yongzhi
2007
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
2007
Stability of a class of Runge–Kutta methods for a family of pantograph equations of neutral type. Zbl 1168.65371
Zhao, J. J.; Xu, Y.; Wang, H. X.; Liu, M. Z.
2006
A free boundary problem of diffusion equation with integral condition. Zbl 1122.35157
Xu, Y.
2006
A free boundary problem of parabolic complex equation. Zbl 1122.35158
Xu, Yongzhi
2006
A mathematical model of ductal carcinoma in situ and its characteristic patterns. Zbl 1087.92045
Xu, Yongzhi
2005
Viscosity dominated flows with temperature-dependent thermal conductivity. Zbl 1080.35047
Fang, Ming; Gilbert, Robert P.; Xu, Yongzhi S.
2005
Focused ultrasonic wave in submerged cancellous bone. Zbl 1198.74037
Gilbert, Robert P.; Lin, Wei; Xu, Yongzhi
2005
Green’s function for the Helmholtz equation in a layered half-space. Zbl 1188.35051
Gilbert, Robert; Xu, Yongzhi
2005
Marine acoustics. Direct and inverse problems. Zbl 1055.35134
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi S.
2004
A free boundary problem model of ductal carcinoma in situ. Zbl 1050.35158
Xu, Yongzhi
2004
Transient reflection and transmission of ultrasonic wave in cancellous bone. Zbl 1070.74029
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi
2003
Depth sounding: An illustration of some of the pitfalls of inverse scattering problems. Zbl 1109.62367
Buchanan, J.; Gilbert, R.; Wirgin, A.; Xu, Y.
2002
Determination of a buried object in a two-layered shallow ocean. Zbl 1360.76244
Gilbert, Robert P.; Werby, Michael; Xu, Yongzhi
2001
Nonlinear surface spin waves on ferromagnetic media with inhomogeneous exchange anisotropies: soliton solutions. Zbl 0972.35143
Xu, Y.; Su, G.; Xue, D.-S.; Xing, H.-Z.; Li, F.-S.
2001
Generalized dual space indicator method for underwater imaging. Zbl 0978.35099
Xu, Yongzhi; Mawata, Christopher; Lin, Wei
2000
Acoustic imaging in a shallow ocean with a thin ice cap. Zbl 0968.35126
Gilbert, Robert P.; Xu, Yongzhi
2000
Identification by the intersecting canonical domain method, of the size, shape and depth of a soft body of revolution located within an acoustic waveguide. Zbl 0968.35123
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi
2000
Continuity and determination of parameters for quasistatic thermoelastic system. Zbl 1163.74490
He, Min; Xu, Yongzhi
2000
Determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. Zbl 0964.35177
Gilbert, Robert P.; Mawata, Christopher; Xu, Yongzhi
2000
Inverse acoustic scattering problems in ocean environments. Zbl 1360.76317
Xu, Yongzhi
1999
The unidentified object problem in a shallow ocean with a fluid-like sediment layer overlying a rigid seabed. Zbl 1034.35149
Buchanan, James L.; Gilbert, R. P.; Wirgin, A.; Xu, Yongzhi S.
1999
Some inverse problems in stratified media. Zbl 0911.35122
Xu, Y.
1998
An inverse obstacle scattering problem in a stratified medium. Zbl 0904.35065
Xu, Yongzhi
1998
Green’s function representation for acoustic pressure over a poroelastic seabed. Zbl 0897.73012
Buchanan, James L.; Gilbert, Robert P.; Xu, Yongzhi
1997
A note on the uniqueness of the propagating solution for acoustic waves in a finite depth ocean. Zbl 0923.76280
Xu, Yongzhi
1997
Identification of a 3D object in a shallow sea from scattered sound. Zbl 0894.76077
Gilbert, Robert P.; Scotti, Thierry; Wirgin, Armand; Xu, Yongzhi S.
1997
Inverse scattering of acoustic waves in an ocean with ice cover. Zbl 0865.35138
Belinskiy, Boris; Dauer, Jerald P.; Xu, Yongzhi
1996
The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed. Zbl 0873.35106
Gilbert, R. P.; Xu, Yongzhi
1996
The seamount problem. Zbl 0886.35169
Gilbert, R. P.; Xu, Yongzhi S.
1996
Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity. Zbl 0833.76070
Xu, Yongzhi
1995
Reciprocity relations and completeness of far-field pattern vectors for obstacle scattering of acoustic wave in a stratified medium. Zbl 0818.35076
Xu, Yongzhi
1995
A boundary integral method for acoustic source localization in a waveguide with inclusions. Zbl 1360.76177
Xu, Yongzhi; Yan, Yi
1994
Decoupling of the quasistatic system of thermoelasticity on the unit disk. Zbl 0784.73011
Shi, Peter; Xu, Yongzhi
1993
An inverse problem for harmonic acoustics in stratified oceans. Zbl 0803.35158
Gilbert, Robert P.; Xu, Yongzhi
1993
An approximate boundary integral method for acoustic scattering in shallow oceans. Zbl 1360.76318
Xu, Yongzhi; Yan, Yi
1993
Scattering of acoustic waves by an obstacle in a stratified medium. Zbl 0796.35125
Xu, Y.
1992
Generalized Herglotz functions and inverse scattering problems in a finite depth ocean. Zbl 0799.35222
Gilbert, R. P.; Xu, Yongzhi
1992
An approximation scheme for the three-dimensional scattered wave and its propagating far-field pattern in a finite depth ocean. Zbl 0765.76079
Gilbert, R. P.; Xu, Y.; Thejll, P.
1992
An injective far-field pattern operator and inverse scattering problem in a finite depth ocean. Zbl 0724.35111
Xu, Yongzhi
1991
The propagation problem and far-field patterns in a stratified finite- depth ocean. Zbl 0702.35196
Gilbert, R. P.; Xu, Yongzhi
1990
The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean. Zbl 0715.35023
Xu, Yongzhi
1990
Dirichlet problems for a class of second order nonlinear elliptic systems. Zbl 0739.35021
Xu, Yongzhi
1990
Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite depth ocean. Zbl 0682.76010
Gilbert, R. P.; Xu, Yongzhi
1989
Starting fields and far fields in ocean acoustics. Zbl 0850.76653
Gilbert, Robert P.; Xu, Yongzhi
1989
A function theory for thin elastic shells. Zbl 0692.73051
Gilbert, Robert P.; Xu, Yongzhi
1989
Construction of approximations to acoustic Green’s functions for nonhomogeneous oceans using transmutation. Zbl 0638.76095
Gilbert, Robert P.; Xu, Yongzhi; Wood, David H.
1988
Generalized ($$\lambda$$ ,k) bi-analytic functions and Riemann-Hilbert problem for a class of nonlinear second order elliptic systems. Zbl 0576.35038
Xu, Yongzhi
1987
all top 5

#### Cited by 230 Authors

 30 Xu, Yongzhi S. 24 Gilbert, Robert Pertsch 11 Liu, Keji 7 Wirgin, Armand 6 Buchanan, James L. 5 Li, Heng 5 Yang, Heju 5 Zhao, Yuqiu 5 Zhou, Jianrong 5 Zou, Jun 4 Park, Won-Kwang 4 Qiao, Yuying 3 Ammari, Habib M. 3 Bourgeois, Laurent 3 Gao, Chenghua 3 Guyenne, Philippe 3 Lechleiter, Armin 3 Leem, Koung Hee 3 Pelekanos, George 3 Recoquillay, Arnaud 3 Sun, Jiguang 3 Wang, Wansheng 2 Alghamdi, Mohammed Ali 2 Au, Vo Van 2 Baronian, Vahan 2 Bhrawy, Ali Hassan 2 Borcea, Liliana 2 Chen, Hua 2 Chow, Yat Tin 2 Christiansen, Tanya J. 2 Ciraolo, Giulio 2 Eslahchi, Mohammad Reza 2 Esmaili, Sakine 2 Fang, Ming 2 Groby, Jean-Philippe 2 Hu, Guanghui 2 Lee, Doo-Sung 2 Lemoine, Grady I. 2 Li, Peijun 2 Li, Xiaolong 2 Li, Xiaosheng 2 Li, Zhuoqiu 2 Lin, Wei 2 Liu, Jun 2 Liu, Lihan 2 Mitsoudis, Dimitrios A. 2 Nguyen Huy Tuan 2 Ou, Miao-Jung Yvonne 2 Pan, Wenfeng 2 Panchenko, Alexander N. 2 Papadimitropoulos, Symeon 2 Qin, Yuehai 2 Rienmüller, Tobias 2 Roy, D. N. Ghosh 2 Tsogka, Chrysoula 2 Vasilic, Ana 2 Xie, Yonghong 2 Yan, Guozheng 2 Yao, Mao 2 Zhao, Yue 1 Acosta, Sebastian 1 Ahn, Chi Young 1 Aksoy, Ümit 1 Al-Basyouni, Khalil S. 1 Al-Musallam, Fadhel A. 1 Alzahrani, Ebraheem O. 1 Anaya, Verónica 1 Assas, Laila M. B. 1 Băleanu, Dumitru I. 1 Barnard, Nicola 1 Belibassakis, Konstadinos A. 1 Bendahmane, Mostafa 1 Béreux, Natacha 1 Bhanot, Gyan V. 1 Boumenir, Amin A. 1 Bourgeois, Lament 1 Cakoni, Fioralba 1 Cattivelli, Luca 1 Çelebi, Ahmet Okay 1 Chambeyron, Colin 1 Chapuis, Bastien 1 Chen, Jiefu 1 Chen, Xudong 1 Chen, Ying 1 Chen, Zhiming 1 Chen, Zhong 1 Cheng, Xue 1 Chinchaladze, N. B. 1 Costa, Edmundo G. A. 1 Couchman, Luise S. 1 Croc, Elisabeth 1 Dai, Ming 1 Dastmalchi Saei, F. 1 De Carli, Laura 1 De Ryck, L. 1 Dehghan Takht Fooladi, Mehdi 1 Di Cristo, Michele 1 Egarguin, Neil Jerome A. 1 Fathi, S. M. Saberi 1 Gallo, Giampiero M. ...and 130 more Authors
all top 5

#### Cited in 65 Serials

 18 Applicable Analysis 12 Mathematical Methods in the Applied Sciences 9 Inverse Problems 9 Complex Variables and Elliptic Equations 8 Mathematical and Computer Modelling 7 Journal of Computational Acoustics 5 Inverse Problems in Science and Engineering 4 Journal of Computational and Applied Mathematics 4 Applied Numerical Mathematics 4 Applied Mathematics Letters 4 Journal of Theoretical Biology 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Wave Motion 3 Applied Mathematics and Computation 3 Inverse Problems and Imaging 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quaestiones Mathematicae 2 Communications in Partial Differential Equations 2 Journal of Elasticity 2 Journal of Difference Equations and Applications 2 Quantitative Finance 2 Boundary Value Problems 1 International Journal of Modern Physics B 1 Computer Methods in Applied Mechanics and Engineering 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Mechanics Research Communications 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Note di Matematica 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Forum Mathematicum 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIAM Journal on Imaging Sciences 1 Science China. Mathematics 1 Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Cited in 29 Fields

 92 Partial differential equations (35-XX) 41 Numerical analysis (65-XX) 41 Fluid mechanics (76-XX) 26 Optics, electromagnetic theory (78-XX) 24 Mechanics of deformable solids (74-XX) 23 Geophysics (86-XX) 18 Biology and other natural sciences (92-XX) 14 Ordinary differential equations (34-XX) 8 Functions of a complex variable (30-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)