Edit Profile (opens in new tab) Xu, Yongzhi S. Compute Distance To: Compute Author ID: xu.yongzhi-s Published as: Xu, Yongzhi; Xu, Y.; Xu, Yongzhi S.; Xu, Y. S. more...less Homepage: http://www.math.louisville.edu/~yxu/home.htm Documents Indexed: 95 Publications since 1986, including 1 Book 6 Contributions as Editor Co-Authors: 45 Co-Authors with 74 Joint Publications 1,508 Co-Co-Authors all top 5 Co-Authors 25 single-authored 38 Gilbert, Robert Pertsch 11 Wirgin, Armand 9 Buchanan, James L. 6 Li, Heng 5 Liu, Keji 5 Zhou, Jianrong 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 2 Dang, Lanfen 2 Hapuarachchi, Sujeewa 2 Kajiwara, Joji 2 Lin, Juan 2 Liu, Lihan 2 Ogam, Erick 2 Ou, Miao-Jung Yvonne 2 Qiao, Yuying 2 Qin, Yuehai 2 Xu, Dinghua 2 Yan, Yi 1 Chang, Der-Chen E. 1 Chen, Baoyao 1 Cheng, Jin 1 Dauer, Jerald P. 1 De Ryck, L. 1 Fang, Ming 1 Hackl, Klaus 1 He, Min 1 Hu, Changbing 1 Lauriks, Walter 1 Leclaire, P. 1 Li, Xing 1 Liu, Ying 1 Mai, Zhiben 1 Ou, Yvonne 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, Shangyou all top 5 Serials 24 Applicable Analysis 13 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 2 International Society for Analysis, Applications and Computation 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 Journal of Inequalities and Applications 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 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Journal of Applied Functional Analysis 1 Advances and Applications in Mathematical Sciences all top 5 Fields 67 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 20 Geophysics (86-XX) 19 Biology and other natural sciences (92-XX) 17 Mechanics of deformable solids (74-XX) 12 Numerical analysis (65-XX) 10 Functions of a complex variable (30-XX) 6 General and overarching topics; collections (00-XX) 6 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 3 Potential theory (31-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 364 times in 170 Documents Cited by ▼ Year ▼ Marine acoustics. Direct and inverse problems. Zbl 1055.35134Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi S. 32 2004 Generalized dual space indicator method for underwater imaging. Zbl 0978.35099Xu, Yongzhi; Mawata, Christopher; Lin, Wei 24 2000 A free boundary problem model of ductal carcinoma in situ. Zbl 1050.35158Xu, Yongzhi 19 2004 A multilevel sampling method for detecting sources in a stratified ocean waveguide. Zbl 1344.35171Liu, Keji; Xu, Yongzhi; Zou, Jun 18 2017 Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity. Zbl 0833.76070Xu, Yongzhi 16 1995 The propagation problem and far-field patterns in a stratified finite- depth ocean. Zbl 0702.35196Gilbert, R. P.; Xu, Yongzhi 15 1990 The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean. Zbl 0715.35023Xu, Yongzhi 13 1990 Starting fields and far fields in ocean acoustics. Zbl 0850.76653Gilbert, Robert P.; Xu, Yongzhi 12 1989 Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite depth ocean. Zbl 0682.76010Gilbert, R. P.; Xu, Yongzhi 12 1989 A parallel radial bisection algorithm for inverse scattering problems. Zbl 1269.65116Liu, Keji; Xu, Yongzhi; Zou, Jun 11 2013 A free boundary problem of diffusion equation with integral condition. Zbl 1122.35157Xu, Y. 9 2006 Some inverse problems raised from a mathematical model of ductal carcinoma in situ. Zbl 1165.65388Xu, Yongzhi; Gilbert, Robert 9 2009 Acoustic imaging in a shallow ocean with a thin ice cap. Zbl 0968.35126Gilbert, Robert P.; Xu, Yongzhi 8 2000 Inverse scattering of acoustic waves in an ocean with ice cover. Zbl 0865.35138Belinskiy, Boris; Dauer, Jerald P.; Xu, Yongzhi 8 1996 Imaging wave-penetrable objects in a finite depth ocean. Zbl 1334.76141Liu, Keji; Xu, Yongzhi; Zou, Jun 8 2014 Determination of a buried object in a two-layered shallow ocean. Zbl 1360.76244Gilbert, Robert P.; Werby, Michael; Xu, Yongzhi 8 2001 A free boundary problem of parabolic complex equation. Zbl 1122.35158Xu, Yongzhi 7 2006 Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide. Zbl 1384.35145Liu, Keji; Xu, Yongzhi; Zou, Jun 7 2018 A mathematical model of ductal carcinoma in situ and its characteristic patterns. Zbl 1087.92045Xu, Yongzhi 6 2005 Reciprocity relations and completeness of far-field pattern vectors for obstacle scattering of acoustic wave in a stratified medium. Zbl 0818.35076Xu, Yongzhi 6 1995 An inverse problem for harmonic acoustics in stratified oceans. Zbl 0803.35158Gilbert, Robert P.; Xu, Yongzhi 6 1993 Dirichlet problems for a class of second order nonlinear elliptic systems. Zbl 0739.35021Xu, Yongzhi 5 1990 Scattering of acoustic waves by an obstacle in a stratified medium. Zbl 0796.35125Xu, Y. 5 1992 Decoupling of the quasistatic system of thermoelasticity on the unit disk. Zbl 0784.73011Shi, Peter; Xu, Yongzhi 5 1993 Green’s function representation for acoustic pressure over a poroelastic seabed. Zbl 0897.73012Buchanan, James L.; Gilbert, Robert P.; Xu, Yongzhi 5 1997 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 0968.35123Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi 5 2000 An inverse problem for the free boundary model of ductal carcinoma in situ. Zbl 1187.35287Xu, Y. S. 5 2009 Transient reflection and transmission of ultrasonic wave in cancellous bone. Zbl 1070.74029Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi 4 2003 Generalized Herglotz functions and inverse scattering problems in a finite depth ocean. Zbl 0799.35222Gilbert, R. P.; Xu, Yongzhi 4 1992 An injective far-field pattern operator and inverse scattering problem in a finite depth ocean. Zbl 0724.35111Xu, Yongzhi 4 1991 Backward heat equation with time dependent variable coefficient. Zbl 1364.35431Hapuarachchi, Sujeewa; Xu, Yongzhi 4 2017 Inverse acoustic scattering problems in ocean environments. Zbl 1360.76317Xu, Yongzhi 4 1999 Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions. Zbl 1335.35094Zhou, Jian-Rong; Li, Heng; Xu, Yongzhi 4 2016 Ritz-Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition. Zbl 1418.65121Zhou, Jianrong; Li, Heng; Xu, Yongzhi 3 2019 An approximation scheme for the three-dimensional scattered wave and its propagating far-field pattern in a finite depth ocean. Zbl 0765.76079Gilbert, R. P.; Xu, Y.; Thejll, P. 3 1992 Construction of approximations to acoustic Green’s functions for nonhomogeneous oceans using transmutation. Zbl 0638.76095Gilbert, Robert P.; Xu, Yongzhi; Wood, David H. 3 1988 The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed. Zbl 0873.35106Gilbert, R. P.; Xu, Yongzhi 3 1996 Clifford analysis with higher order kernel over unbounded domains. Zbl 1203.30057Li, X.; Qiao, Y.; Xu, Y. 3 2008 Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis. Zbl 1238.30036Qiao, Yuying; Xu, Yongzhi; Yang, Heju 3 2012 The seamount problem. Zbl 0886.35169Gilbert, R. P.; Xu, Yongzhi S. 2 1996 Identification of a 3D object in a shallow sea from scattered sound. Zbl 0894.76077Gilbert, Robert P.; Scotti, Thierry; Wirgin, Armand; Xu, Yongzhi S. 2 1997 Decoupling of the quasistatic system of thermoelasticity with Riemann problems on the bounded simply connected domain. Zbl 1388.30044Lin, Juan; Xu, Yongzhi; Li, Heng 2 2018 Riemann problem and inverse Riemann problem of (\(\lambda\), 1) bi-analytic functions. Zbl 1152.30050Xu, Yongzhi 2 2007 Generalized (\(\lambda\) ,k) bi-analytic functions and Riemann-Hilbert problem for a class of nonlinear second order elliptic systems. Zbl 0576.35038Xu, Yongzhi 2 1987 A note on the uniqueness of the propagating solution for acoustic waves in a finite depth ocean. Zbl 0923.76280Xu, Yongzhi 2 1997 Viscosity dominated flows with temperature-dependent thermal conductivity. Zbl 1080.35047Fang, Ming; Gilbert, Robert P.; Xu, Yongzhi S. 2 2005 An approximate boundary integral method for acoustic scattering in shallow oceans. Zbl 1360.76318Xu, Yongzhi; Yan, Yi 2 1993 A boundary integral method for acoustic source localization in a waveguide with inclusions. Zbl 1360.76177Xu, Yongzhi; Yan, Yi 2 1994 Computing porosity of cancellous bone using ultrasonic waves. II: The muscle, cortical, cancellous bone system. Zbl 1185.74059Gilbert, Robert P.; Liu, Ying; Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi 2 2009 An inverse problem for the quasistatic thermoelastic system on the unit disk. Zbl 1026.35104Xu, Yongzhi 2 1999 On the shear stress function and the critical value of the Blasius problem. Zbl 1277.76013Yang, G. C.; Xu, Y. Z.; Dang, L. F. 2 2012 A free boundary problem arising from DCIS mathematical model. Zbl 1370.35155Li, Heng; Xu, Yongzhi; Zhou, Jian-Rong 2 2017 A function theory for thin elastic shells. Zbl 0692.73051Gilbert, Robert P.; Xu, Yongzhi 2 1989 Depth sounding: An illustration of some of the pitfalls of inverse scattering problems. Zbl 1109.62367Buchanan, J.; Gilbert, R.; Wirgin, A.; Xu, Y. 1 2002 Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou 1 2007 Inverse problem for wave propagation in a perturbed layered half-space. Zbl 1130.74024Gilbert, Robert; Hackl, Klaus; Xu, Yongzhi 1 2007 Use of specific Green’s functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves. Zbl 1137.76051Groby, J.-P.; De Ryck, L.; Leclaire, P.; Wirgin, A.; Lauriks, W.; Gilbert, R. P.; Xu, Y. S. 1 2007 Determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. Zbl 0964.35177Gilbert, Robert P.; Mawata, Christopher; Xu, Yongzhi 1 2000 Green’s function for the Helmholtz equation in a layered half-space. Zbl 1188.35051Gilbert, Robert; Xu, Yongzhi 1 2005 An inverse obstacle scattering problem in a stratified medium. Zbl 0904.35065Xu, Yongzhi 1 1998 Some inverse problems in stratified media. Zbl 0911.35122Xu, Y. 1 1998 Continuity and determination of parameters for quasistatic thermoelastic system. Zbl 1163.74490He, Min; Xu, Yongzhi 1 2000 Numerical algorithms for a free boundary problem model of DCIS and a related inverse problem. Zbl 1442.65231Liu, Keji; Xu, Yongzhi; Xu, Dinghua 1 2020 The unidentified object problem in a shallow ocean with a fluid-like sediment layer overlying a rigid seabed. Zbl 1034.35149Buchanan, James L.; Gilbert, R. P.; Wirgin, A.; Xu, Yongzhi S. 1 1999 Recovery of a material parameter of a soft elastic layer. Zbl 1309.74039Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi 1 2012 A temperature-dependent age-structured mosquito life-cycle model. Zbl 1243.37064Cochran, John M.; Xu, Yongzhi 1 2012 Focused ultrasonic wave in submerged cancellous bone. Zbl 1198.74037Gilbert, Robert P.; Lin, Wei; Xu, Yongzhi 1 2005 The uniqueness and existence of solutions for the 3-D Helmholtz equation in a stratified medium with unbounded perturbation. Zbl 1279.35015Liu, Lihan; Qin, Yuehai; Xu, Yongzhi; Zhao, Yuqiu 1 2013 Riemann problem of \((\lambda, k)\) bi-analytic functions. Zbl 1494.30073Lin, Juan; Xu, Yongzhi 1 2022 Riemann problem of \((\lambda, k)\) bi-analytic functions. Zbl 1494.30073Lin, Juan; Xu, Yongzhi 1 2022 Numerical algorithms for a free boundary problem model of DCIS and a related inverse problem. Zbl 1442.65231Liu, Keji; Xu, Yongzhi; Xu, Dinghua 1 2020 Ritz-Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition. Zbl 1418.65121Zhou, Jianrong; Li, Heng; Xu, Yongzhi 3 2019 Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide. Zbl 1384.35145Liu, Keji; Xu, Yongzhi; Zou, Jun 7 2018 Decoupling of the quasistatic system of thermoelasticity with Riemann problems on the bounded simply connected domain. Zbl 1388.30044Lin, Juan; Xu, Yongzhi; Li, Heng 2 2018 A multilevel sampling method for detecting sources in a stratified ocean waveguide. Zbl 1344.35171Liu, Keji; Xu, Yongzhi; Zou, Jun 18 2017 Backward heat equation with time dependent variable coefficient. Zbl 1364.35431Hapuarachchi, Sujeewa; Xu, Yongzhi 4 2017 A free boundary problem arising from DCIS mathematical model. Zbl 1370.35155Li, Heng; Xu, Yongzhi; Zhou, Jian-Rong 2 2017 Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions. Zbl 1335.35094Zhou, Jian-Rong; Li, Heng; Xu, Yongzhi 4 2016 Imaging wave-penetrable objects in a finite depth ocean. Zbl 1334.76141Liu, Keji; Xu, Yongzhi; Zou, Jun 8 2014 A parallel radial bisection algorithm for inverse scattering problems. Zbl 1269.65116Liu, Keji; Xu, Yongzhi; Zou, Jun 11 2013 The uniqueness and existence of solutions for the 3-D Helmholtz equation in a stratified medium with unbounded perturbation. Zbl 1279.35015Liu, Lihan; Qin, Yuehai; Xu, Yongzhi; Zhao, Yuqiu 1 2013 Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis. Zbl 1238.30036Qiao, Yuying; Xu, Yongzhi; Yang, Heju 3 2012 On the shear stress function and the critical value of the Blasius problem. Zbl 1277.76013Yang, G. C.; Xu, Y. Z.; Dang, L. F. 2 2012 Recovery of a material parameter of a soft elastic layer. Zbl 1309.74039Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi 1 2012 A temperature-dependent age-structured mosquito life-cycle model. Zbl 1243.37064Cochran, John M.; Xu, Yongzhi 1 2012 Some inverse problems raised from a mathematical model of ductal carcinoma in situ. Zbl 1165.65388Xu, Yongzhi; Gilbert, Robert 9 2009 An inverse problem for the free boundary model of ductal carcinoma in situ. Zbl 1187.35287Xu, Y. S. 5 2009 Computing porosity of cancellous bone using ultrasonic waves. II: The muscle, cortical, cancellous bone system. Zbl 1185.74059Gilbert, Robert P.; Liu, Ying; Groby, Jean-Philippe; Ogam, Erick; Wirgin, Armand; Xu, Yongzhi 2 2009 Clifford analysis with higher order kernel over unbounded domains. Zbl 1203.30057Li, X.; Qiao, Y.; Xu, Y. 3 2008 Riemann problem and inverse Riemann problem of (\(\lambda\), 1) bi-analytic functions. Zbl 1152.30050Xu, Yongzhi 2 2007 Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou 1 2007 Inverse problem for wave propagation in a perturbed layered half-space. Zbl 1130.74024Gilbert, Robert; Hackl, Klaus; Xu, Yongzhi 1 2007 Use of specific Green’s functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves. Zbl 1137.76051Groby, J.-P.; De Ryck, L.; Leclaire, P.; Wirgin, A.; Lauriks, W.; Gilbert, R. P.; Xu, Y. S. 1 2007 A free boundary problem of diffusion equation with integral condition. Zbl 1122.35157Xu, Y. 9 2006 A free boundary problem of parabolic complex equation. Zbl 1122.35158Xu, Yongzhi 7 2006 A mathematical model of ductal carcinoma in situ and its characteristic patterns. Zbl 1087.92045Xu, Yongzhi 6 2005 Viscosity dominated flows with temperature-dependent thermal conductivity. Zbl 1080.35047Fang, Ming; Gilbert, Robert P.; Xu, Yongzhi S. 2 2005 Green’s function for the Helmholtz equation in a layered half-space. Zbl 1188.35051Gilbert, Robert; Xu, Yongzhi 1 2005 Focused ultrasonic wave in submerged cancellous bone. Zbl 1198.74037Gilbert, Robert P.; Lin, Wei; Xu, Yongzhi 1 2005 Marine acoustics. Direct and inverse problems. Zbl 1055.35134Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi S. 32 2004 A free boundary problem model of ductal carcinoma in situ. Zbl 1050.35158Xu, Yongzhi 19 2004 Transient reflection and transmission of ultrasonic wave in cancellous bone. Zbl 1070.74029Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi 4 2003 Depth sounding: An illustration of some of the pitfalls of inverse scattering problems. Zbl 1109.62367Buchanan, J.; Gilbert, R.; Wirgin, A.; Xu, Y. 1 2002 Determination of a buried object in a two-layered shallow ocean. Zbl 1360.76244Gilbert, Robert P.; Werby, Michael; Xu, Yongzhi 8 2001 Generalized dual space indicator method for underwater imaging. Zbl 0978.35099Xu, Yongzhi; Mawata, Christopher; Lin, Wei 24 2000 Acoustic imaging in a shallow ocean with a thin ice cap. Zbl 0968.35126Gilbert, Robert P.; Xu, Yongzhi 8 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 0968.35123Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi 5 2000 Determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. Zbl 0964.35177Gilbert, Robert P.; Mawata, Christopher; Xu, Yongzhi 1 2000 Continuity and determination of parameters for quasistatic thermoelastic system. Zbl 1163.74490He, Min; Xu, Yongzhi 1 2000 Inverse acoustic scattering problems in ocean environments. Zbl 1360.76317Xu, Yongzhi 4 1999 An inverse problem for the quasistatic thermoelastic system on the unit disk. Zbl 1026.35104Xu, Yongzhi 2 1999 The unidentified object problem in a shallow ocean with a fluid-like sediment layer overlying a rigid seabed. Zbl 1034.35149Buchanan, James L.; Gilbert, R. P.; Wirgin, A.; Xu, Yongzhi S. 1 1999 An inverse obstacle scattering problem in a stratified medium. Zbl 0904.35065Xu, Yongzhi 1 1998 Some inverse problems in stratified media. Zbl 0911.35122Xu, Y. 1 1998 Green’s function representation for acoustic pressure over a poroelastic seabed. Zbl 0897.73012Buchanan, James L.; Gilbert, Robert P.; Xu, Yongzhi 5 1997 Identification of a 3D object in a shallow sea from scattered sound. Zbl 0894.76077Gilbert, Robert P.; Scotti, Thierry; Wirgin, Armand; Xu, Yongzhi S. 2 1997 A note on the uniqueness of the propagating solution for acoustic waves in a finite depth ocean. Zbl 0923.76280Xu, Yongzhi 2 1997 Inverse scattering of acoustic waves in an ocean with ice cover. Zbl 0865.35138Belinskiy, Boris; Dauer, Jerald P.; Xu, Yongzhi 8 1996 The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed. Zbl 0873.35106Gilbert, R. P.; Xu, Yongzhi 3 1996 The seamount problem. Zbl 0886.35169Gilbert, R. P.; Xu, Yongzhi S. 2 1996 Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity. Zbl 0833.76070Xu, Yongzhi 16 1995 Reciprocity relations and completeness of far-field pattern vectors for obstacle scattering of acoustic wave in a stratified medium. Zbl 0818.35076Xu, Yongzhi 6 1995 A boundary integral method for acoustic source localization in a waveguide with inclusions. Zbl 1360.76177Xu, Yongzhi; Yan, Yi 2 1994 An inverse problem for harmonic acoustics in stratified oceans. Zbl 0803.35158Gilbert, Robert P.; Xu, Yongzhi 6 1993 Decoupling of the quasistatic system of thermoelasticity on the unit disk. Zbl 0784.73011Shi, Peter; Xu, Yongzhi 5 1993 An approximate boundary integral method for acoustic scattering in shallow oceans. Zbl 1360.76318Xu, Yongzhi; Yan, Yi 2 1993 Scattering of acoustic waves by an obstacle in a stratified medium. Zbl 0796.35125Xu, Y. 5 1992 Generalized Herglotz functions and inverse scattering problems in a finite depth ocean. Zbl 0799.35222Gilbert, R. P.; Xu, Yongzhi 4 1992 An approximation scheme for the three-dimensional scattered wave and its propagating far-field pattern in a finite depth ocean. Zbl 0765.76079Gilbert, R. P.; Xu, Y.; Thejll, P. 3 1992 An injective far-field pattern operator and inverse scattering problem in a finite depth ocean. Zbl 0724.35111Xu, Yongzhi 4 1991 The propagation problem and far-field patterns in a stratified finite- depth ocean. Zbl 0702.35196Gilbert, R. P.; Xu, Yongzhi 15 1990 The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean. Zbl 0715.35023Xu, Yongzhi 13 1990 Dirichlet problems for a class of second order nonlinear elliptic systems. Zbl 0739.35021Xu, Yongzhi 5 1990 Starting fields and far fields in ocean acoustics. Zbl 0850.76653Gilbert, Robert P.; Xu, Yongzhi 12 1989 Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite depth ocean. Zbl 0682.76010Gilbert, R. P.; Xu, Yongzhi 12 1989 A function theory for thin elastic shells. Zbl 0692.73051Gilbert, Robert P.; Xu, Yongzhi 2 1989 Construction of approximations to acoustic Green’s functions for nonhomogeneous oceans using transmutation. Zbl 0638.76095Gilbert, Robert P.; Xu, Yongzhi; Wood, David H. 3 1988 Generalized (\(\lambda\) ,k) bi-analytic functions and Riemann-Hilbert problem for a class of nonlinear second order elliptic systems. Zbl 0576.35038Xu, Yongzhi 2 1987 all cited Publications top 5 cited Publications all top 5 Cited by 231 Authors 31 Xu, Yongzhi S. 23 Gilbert, Robert Pertsch 14 Liu, Keji 7 Wirgin, Armand 6 Buchanan, James L. 6 Li, Heng 6 Zhou, Jianrong 5 Gao, Chenghua 5 Yang, Heju 5 Zhao, Yuqiu 5 Zou, Jun 4 Bourgeois, Laurent 4 Liu, Jun 4 Park, Won-Kwang 4 Qiao, Yuying 3 Ammari, Habib M. 3 Guyenne, Philippe 3 Hu, Guanghui 3 Lechleiter, Armin 3 Leem, Koung Hee 3 Meng, Shixu 3 Nguyen Huy Tuan 3 Onofrei, Daniel 3 Pelekanos, George 3 Recoquillay, Arnaud 3 Sun, Jiguang 2 Au, Vo Van 2 Baronian, Vahan 2 Borcea, Liliana 2 Chen, Hua 2 Chen, Jiefu 2 Chow, Yat Tin 2 Ciraolo, Giulio 2 Egarguin, Neil Jerome A. 2 Eslahchi, Mohammad Reza 2 Esmaili, Sakine 2 Groby, Jean-Philippe 2 Huang, 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, Lihan 2 Lv, Li 2 Mitsoudis, Dimitrios A. 2 Ou, Miao-Jung Yvonne 2 Pan, Wenfeng 2 Panchenko, Alexander N. 2 Papadimitropoulos, Symeon 2 Qi, Chaoxian 2 Qin, Yuehai 2 Rienmüller, Tobias 2 Roy, D. N. Ghosh 2 Tsogka, Chrysoula 2 van Bockstal, Karel 2 Vasilic, Ana 2 Wang, Yali 2 Xie, Yonghong 2 Xu, Dinghua 2 Yan, Guozheng 2 Yao, Mao 2 Zhao, Yue 1 Abreu-Blaya, Ricardo 1 Acosta, Sebastian 1 Ahn, Chi Young 1 Aksoy, Ümit 1 Al-Musallam, Fadhel A. 1 Amat, Sergio P. 1 Anaya, Verónica 1 Árciga Alejandre, Martín Patricio 1 Bagomghaleh, Shadi Malek 1 Barnard, Nicola 1 Belibassakis, Konstadinos A. 1 Belinsky, Boris P. 1 Bendahmane, Mostafa 1 Béreux, Natacha 1 Besabe, Lander 1 Bhanot, Gyan V. 1 Bian, Xiaoli 1 Boumenir, Amin A. 1 Cakoni, Fioralba 1 Çelebi, Ahmet Okay 1 Chai, Xiaoke 1 Chambeyron, Colin 1 Chapuis, Bastien 1 Chen, Junqing 1 Chen, Xudong 1 Chen, Ying 1 Chen, Zhiming 1 Christiansen, Tanya J. 1 Costa, Edmundo G. A. 1 Couchman, Luise S. 1 Croc, Elisabeth 1 De Carli, Laura 1 De Ryck, L. 1 Di Cristo, Michele 1 Dorociaková, Božena ...and 131 more Authors all top 5 Cited in 64 Serials 21 Applicable Analysis 12 Mathematical Methods in the Applied Sciences 11 Complex Variables and Elliptic Equations 9 Inverse Problems 7 Mathematical and Computer Modelling 7 Journal of Computational Acoustics 6 Inverse Problems in Science and Engineering 4 Journal of Computational Physics 4 Journal of Computational and Applied Mathematics 4 Applied Mathematics Letters 4 Inverse Problems and Imaging 4 Journal of Theoretical Biology 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Wave Motion 3 Applied Numerical Mathematics 3 SIAM Journal on Applied Mathematics 3 Journal of Inverse and Ill-Posed Problems 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quaestiones Mathematicae 2 Communications in Partial Differential Equations 2 International Journal of Computer Mathematics 2 Journal of Elasticity 2 Communications in Computational Physics 2 SIAM Journal on Imaging Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 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 Circuits, Systems, and Signal Processing 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 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. B. Fluids 1 Optimization and Engineering 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications 1 AIMS Mathematics all top 5 Cited in 30 Fields 104 Partial differential equations (35-XX) 47 Fluid mechanics (76-XX) 45 Numerical analysis (65-XX) 30 Optics, electromagnetic theory (78-XX) 27 Mechanics of deformable solids (74-XX) 25 Geophysics (86-XX) 21 Biology and other natural sciences (92-XX) 11 Functions of a complex variable (30-XX) 10 Ordinary differential equations (34-XX) 8 Information and communication theory, circuits (94-XX) 7 Integral equations (45-XX) 5 Operator theory (47-XX) 4 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year