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Gilbert, Robert Pertsch

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Author ID: gilbert.robert-pertsch Recent zbMATH articles by "Gilbert, Robert Pertsch"
Published as: Gilbert, R. P.; Gilbert, Robert P.; Gilbert, Robert; Gilbert, Robert Pertsch; Gilbert, R. Pertsch; Gilbert, R. P; Gilbert, R.; Gilbert, Bob
Homepage: http://www.math.udel.edu/~gilbert/index.html
External Links: MGP · ResearchGate · dblp
Documents Indexed: 319 Publications since 1957, including 33 Books
Biographic References: 11 Publications
all top 5

Co-Authors

40 single-authored
32 Xu, Yongzhi S.
30 Buchanan, James L.
23 Begehr, Heinrich
13 Colton, David Lem
12 Fang, Ming
11 Howard, Henry Cobourn
11 Wirgin, Armand
10 Hackl, Klaus
10 Hsiao, George C.
10 Lin, Zhongyan
10 Ou, Miao-Jung Yvonne
10 Panchenko, Alexander N.
8 Wen, Guo Chun
7 Hile, Gerald N.
6 Guyenne, Philippe
6 Jaiani, George V.
6 Schneider, Manfred Friedrich
5 Bhatnagar, S. C.
5 Chang, Der-Chen E.
5 Kukral, Dean K.
5 Vasilic, Ana
4 Çelebi, Ahmet Okay
4 Kajiwara, Joji
4 Lee, Doo-Sung
4 Lin, Wei
4 Ronkese, Robert J.
4 Shi, Peter
4 Weinacht, Richard J.
3 Conlan, James P.
3 Ilić, Sandra
3 Jeffrey, Alan P.
3 Kharibegashvili, S. S.
3 Khashanah, Khaldoun
3 Magnanini, Rolando
3 Natroshvili, David
3 Thejll, Peter
3 Wong, Man Wah
2 Avila, Geraldo S. S.
2 Aziz, A. Kadir
2 Ben-Israel, Adi
2 Brown, Patrick M.
2 Chen, Hua
2 Chinchaladze, N. B.
2 Groby, Jean-Philippe
2 Kendall, Halcomb
2 Li, Mingzhong
2 Lundin, Leroy R.
2 Mikelić, Andro
2 Ou, M. Yvonne
2 Ou, Yvonne
2 Panasenko, Grigory P.
2 Wendland, Wolfgang L.
2 Wood, David Harlan
2 Xie, Xuming
2 Xu, Yongzhi Steve
2 Yao, Jen-Chih
2 Zeev, Noam
1 Aks, S. O.
1 Amaziane, Brahim
1 Barannyk, Lyudmyla L.
1 Bean, Ralph J.
1 Blaszczyk, Mischa
1 Bu, Charles
1 Carl, Siegfried
1 Carney, Charles L. jun.
1 Chinchaladze, Natalia
1 Clopeau, Thierry
1 Cohen, Hirsh G.
1 De Ryck, L.
1 Engliš, Miroslav
1 Ferrín, Jose Luis
1 Gnélécoumbaga, Souleymane
1 Harik, Vasyl Michael
1 Holzapfel, Gerhard A.
1 Jensen, Jarl
1 Jurak, Mladen
1 Knight, R. B.
1 Koepf, Wolfram A.
1 Lauriks, Walter
1 Leclaire, P.
1 Lee, Doo-Sun
1 Leonardi, Salvatore
1 Li, Jing
1 Linz, Peter
1 Liu, Xiangao
1 Lo, Chiyeung
1 Makrakis, George N.
1 Manjavidze, Giorgi F.
1 Manjavidze, Nino
1 Mawata, Christopher Peter
1 Meek, Peter C.
1 Muldoon, Martin E.
1 Newton, Roger G.
1 Nohe, Anja
1 Ogam, Erick
1 Panagiotopoulos, Panagiotis D.
1 Pankov, Alexander A.
1 Pardalos, Panos M.
1 Ricci, Paolo Emilio
1 Rogosin, Sergei V.
...and 16 more Co-Authors
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Serials

32 Applicable Analysis
17 Mathematical and Computer Modelling
17 Journal of Computational Acoustics
12 Mathematical Methods in the Applied Sciences
10 Complex Variables. Theory and Application
8 Nonlinear Analysis. Theory, Methods & Applications
7 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Journal für die Reine und Angewandte Mathematik
6 Mathematische Nachrichten
5 Inverse Problems
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Zeitschrift für Analysis und ihre Anwendungen
5 Journal of Elasticity
5 Bulletin of the American Mathematical Society
4 Archive for Rational Mechanics and Analysis
4 Duke Mathematical Journal
4 Journal of Applied Functional Analysis
3 Journal of Mathematical Analysis and Applications
3 Wave Motion
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série
3 Journal of Approximation Theory
3 Journal of Differential Equations
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Pacific Journal of Mathematics
3 SIAM Journal on Mathematical Analysis
2 Computers & Mathematics with Applications
2 International Journal of Solids and Structures
2 Journal of Mathematical Physics
2 American Journal of Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Nonlinear Analysis. Real World Applications
2 International Journal of Evolution Equations
2 Scripta Mathematica
2 Complex Variables and Elliptic Equations
2 Lecture Notes in Mathematics
1 International Journal of Non-Linear Mechanics
1 Journal d’Analyse Mathématique
1 Journal of Applied Mechanics
1 Bulletin of Mathematical Biology
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Annales Polonici Mathematici
1 Applied Mathematics and Computation
1 Bulletin of the Technical University of Istanbul
1 Canadian Journal of Mathematics
1 The Journal of the Indian Mathematical Society. New Series
1 Portugaliae Mathematica
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 SIAM Journal on Scientific and Statistical Computing
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Journal of Hebei Normal University. Natural Science Edition
1 Glasnik Matematički. Serija III
1 SIAM Journal on Applied Mathematics
1 Georgian Mathematical Journal
1 Memoirs on Differential Equations and Mathematical Physics
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki
1 Acustica - Acta Acustica
1 Communications in Applied Analysis
1 Journal of Inequalities and Applications
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Chimie, Astronomie
1 European Journal of Mechanics. B. Fluids
1 Bulletin of TICMI
1 Journal of the Australian Mathematical Society
1 Journal of Analysis and Applications
1 Lecture Notes of TICMI
1 Mathematical Biosciences and Engineering
1 Boundary Value Problems
1 Journal of Mathematics and Mechanics
1 Rendiconti di Matematica, VI. Serie
1 Buletinul Institutului Politehnic din Iași, New Series
1 Contemporary Mathematics
1 Mathematics in Science and Engineering
1 Nonconvex Optimization and Its Applications
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Anais da Academia Brasileira de Ciências
1 Textbooks in Mathematics
1 Texts & Monographs in Symbolic Computation

Publications by Year

Citations contained in zbMATH Open

189 Publications have been cited 1,000 times in 574 Documents Cited by Year
Function theoretic methods in partial differential equations. Zbl 0187.35303
Gilbert, R. P.
109
1969
Homogenizing the acoustic properties of the seabed. I. Zbl 0958.35108
Gilbert, R. P.; Mikelić, A.
46
2000
First order elliptic systems. A function theoretic approach. Zbl 0529.35006
Gilbert, Robert P.; Buchanan, James L.
41
1983
Homogenizing the acoustic properties of the seabed. II. Zbl 1050.76562
Clopeau, Th.; Ferrín, J. L.; Gilbert, R. P.; Mikelić, A.
37
2001
Marine acoustics. Direct and inverse problems. Zbl 1055.35134
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi S.
28
2004
Constructive methods for elliptic equations. Zbl 0302.35001
Gilbert, Robert P.
28
1974
Transformations, transmutations, and kernel functions. Vol. 1. Zbl 0827.35001
Begehr, Heinrich; Gilbert, Robert P.
19
1992
A method of ascent for solving boundary value problems. Zbl 0188.16803
Gilbert, R. P.
18
1969
Nonisothermal, non-Newtonian Hele-Shaw flows. II: Asymptotics and existence of weak solutions. Zbl 0909.76004
Gilbert, R. P.; Shi, P.
15
1996
The construction of solutions for boundary value problems by function theoretic methods. Zbl 0206.40406
Gilbert, R. P.
15
1970
Constructive methods for fourth-order elliptic equations. Zbl 0599.35055
Gilbert, R. P.; Lin, Wei
14
1985
Determination of the parameters of cancellous bone using low frequency acoustic measurements. Zbl 1235.76142
Buchanan, James L.; Gilbert, Robert P.; Khashanah, Khaldoun
14
2004
The propagation problem and far-field patterns in a stratified finite- depth ocean. Zbl 0702.35196
Gilbert, R. P.; Xu, Yongzhi
13
1990
Hele-shaw type flows in \({\mathbb{R}}^ n\). Zbl 0664.76041
Begehr, Heinrich; Gilbert, Robert P.
13
1986
Analytic, generalized, hyperanalytic function theory and an application to elasticity. Zbl 0331.35024
Gilbert, Robert P.; Wendland, Wolfgang L.
12
1975
On the singularities of generalized axially symmetric potentials. Zbl 0099.30601
Gilbert, Robert P.
11
1960
Bergman’s integral operator method in generalized axially symmetric potential theory. Zbl 0152.23304
Gilbert, R. P.
11
1964
Determination of the parameters of cancellous bone using high frequency acoustic measurements. Zbl 1170.74026
Buchanan, James L.; Gilbert, Robert P.
11
2007
Generalized hypercomplex function theory. Zbl 0298.30040
Gilbert, Robert P.; Hile, Gerald
11
1974
Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite depth ocean. Zbl 0682.76010
Gilbert, R. P.; Xu, Yongzhi
11
1989
A quasi-static contact problem in linear thermoelasticity. Zbl 0748.73011
Gilbert, R. P.; Shi, P.; Shillor, M.
11
1990
Starting fields and far fields in ocean acoustics. Zbl 0850.76653
Gilbert, Robert P.; Xu, Yongzhi
11
1989
Function theoretic solutions to problems of orthotropic elasticity. Zbl 0564.73010
Gilbert, Robert P.; Wei, Lin
9
1985
On solutions of the generalized axially symmetric wave equation represented by Bergman operators. Zbl 0135.32002
Gilbert, R. P.; Howard, H. C.
9
1965
Nonlinear systems arising from nonisothermal, non-Newtonian Hele-Shaw flows in the presence of body forces and sources. Zbl 1077.76515
Gilbert, R. P.; Fang, M.
9
2002
Randwertaufgaben ganzzahliger Charakteristik für verallgemeinerte hyperanalytische Funktionen. Zbl 0349.35033
Begehr, Heinrich; Gilbert, Robert P.
9
1977
Non-Newtonian Hele-Shaw flows in n\(\geq 2\) dimensions. Zbl 0659.35040
Begehr, Heinrich; Gilbert, Robert P.
9
1987
Wavelet solutions for time harmonic acoustic waves in a finite ocean. Zbl 1360.76241
Gilbert, R. P.; Lin, Wei
8
1993
Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. Zbl 1140.74016
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.
8
2008
Singularities of three-dimensional harmonic functions. Zbl 0103.06804
Gilbert, R. P.
8
1960
Effective acoustic equations for a two-phase medium with microstructure. Zbl 1064.76096
Gilbert, R. P.; Panchenko, A.
8
2004
Some inverse problems raised from a mathematical model of ductal carcinoma in situ. Zbl 1165.65388
Xu, Yongzhi; Gilbert, Robert
8
2009
On the conditions for uniqueness and existence of the solution to an acoustic inverse problem. I: Theory. Zbl 1360.35318
Gilbert, R. P.; Lin, Zhongyan
7
1993
The two-dimensional, linear orthotropic plate. Zbl 0516.73053
Gilbert, Robert Pertsch; Hsiao, G. C.; Schneider, Manfred Friedrich
7
1983
Singularities of solutions to elliptic partial differential equations with analytic coefficients. Zbl 0165.44402
Colton, D.; Gilbert, R. P.
7
1968
Extremal solutions of a class of dynamic boundary hemivariational inequalities. Zbl 1012.35052
Carl, Siegfried; Gilbert, R. P.
7
2002
Acoustic imaging in a shallow ocean with a thin ice cap. Zbl 0968.35126
Gilbert, Robert P.; Xu, Yongzhi
7
2000
Determination of a buried object in a two-layered shallow ocean. Zbl 1360.76244
Gilbert, Robert P.; Werby, Michael; Xu, Yongzhi
6
2001
On generalized axially symmetric potentials. Zbl 0123.29203
Gilbert, R. P.
6
1963
A generalization of a theorem of Nehari. Zbl 0142.32703
Gilbert, R. P.; Howard, H. C.
6
1966
On the approximation of solutions of elliptic partial differential equations in two and three dimensions. Zbl 0212.44802
Gilbert, Robert P.; Lo, Chi Yeung
6
1971
Determination of the parameters of cancellous bone using high frequency acoustic measurements. II: Inverse problems. Zbl 1198.74050
Buchanan, James L.; Gilbert, Robert P.
6
2007
Transformations, transmutations, and kernel functions. Vol. 2. Zbl 0827.35002
Begehr, Heinrich; Gilbert, Robert P.
6
1993
Vekua theory in higher dimensional complex spaces: The \(\Pi\)-operator in \(\mathbb{C}^ n\). Zbl 0796.32003
Gilbert, Robert P.; Hou, Z. Y.; Meng, X. W.
6
1993
Piecewise continuous solutions of pseudoparabolic equations in two space dimensions. Zbl 0395.35047
Begehr, Heinrich; Gilbert, Robert P.
6
1978
A Lewy-type reflection principle for pseudoparabolic equations. Zbl 0443.35035
Gilbert, R. P.
6
1980
Homogenizing the time-harmonic acoustics of bone: The monophasic case. Zbl 1132.35304
Fang, Ming; Gilbert, Robert P.; Panchenko, Alexander; Vasilic, Ana
6
2007
Scattering in a shallow ocean with an elastic seabed. Zbl 1360.86003
Gilbert, R. P.; Lin, Zhongyan
5
1997
Acoustics of a stratified poroelastic composite. Zbl 0959.74054
Gilbert, R. P.; Panchenko, A.
5
1999
Singularities of solutions to the wave equation in three dimensions. Zbl 0099.07901
Gilbert, R. P.
5
1960
On harmonic functions of four variables with rational \(p_ 4\)-associates. Zbl 0119.08802
Gilbert, R. P.
5
1963
Some properties of generalized axially symmetric potentials. Zbl 0121.32501
Gilbert, R. P.
5
1962
Integral operator methods in bi-axially symmetric potential theory. Zbl 0135.32001
Gilbert, R. P.
5
1963
Composition formulas in generalized axially symmetric potential theory. Zbl 0141.09102
Gilbert, R. P.
5
1964
Free boundary problems occurring in planar fluid dynamics. Zbl 0676.35087
Gilbert, R. P.; Wen, Guochun
5
1989
A solution to the equations of shell theory. Zbl 0708.73044
Buchanan, J. L.; Gilbert, R. P.
5
1990
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
5
2000
From convexity to nonconvexity. Dedicated to the memory of Gaetano Fichera. Zbl 0972.00025
Gilbert, Robert P. (ed.); Panagiotopoulos, Panagiotis D. (ed.); Pardalos, Panos M. (ed.)
5
2001
An inverse problem for harmonic acoustics in stratified oceans. Zbl 0803.35158
Gilbert, Robert P.; Xu, Yongzhi
5
1993
On Riemann boundary value problems for cerrtain linear elliptic systems in the plane. Zbl 0424.35041
Begehr, Heinrich; Gilbert, Robert P.
5
1979
Hypercomplex function theory in the sense of L. Bers. Zbl 0341.30032
Gilbert, R. P.; Hile, Gerald
5
1976
A transmutation approach to underwater sound propagation. Zbl 0625.76088
Gilbert, Robert P.; Wood, David H.
5
1986
Green’s function representation for acoustic pressure over a poroelastic seabed. Zbl 0897.73012
Buchanan, James L.; Gilbert, Robert P.; Xu, Yongzhi
5
1997
Transmission loss in the far field over a one-layer seabed assuming the Biot sediment model. Zbl 0882.76089
Buchanan, J. L.; Gilbert, R. P.
4
1997
An investigation of the analytic properties of solutions to the generalized axially symmetric, reduced wave equation in \(n+1\) variables, with an application to the theory of potential scattering. Zbl 0159.40001
Gilbert, R. P.
4
1968
An integral operator approach to Cauchy’s problem for \(\Delta_{p+2} u(x) + F(x)u(x) = 0\). Zbl 0209.41001
Colton, D.; Gilbert, R. P.
4
1971
Generalized Herglotz functions and inverse scattering problems in a finite depth ocean. Zbl 0799.35222
Gilbert, R. P.; Xu, Yongzhi
4
1992
Cylindrical vibration of an elastic cusped plate under the action of an incompressible fluid in case of \(N=0\) approximation of I. Vekua’s hierarchical models. Zbl 1188.74023
Chinchaladze, N. B.; Gilbert, R. P.
4
2005
Transient reflection and transmission of ultrasonic wave in cancellous bone. Zbl 1070.74029
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi
4
2003
Reproducing kernels for elliptic systems. Zbl 0314.35035
Gilbert, R. P.; Weinacht, R. J.
4
1975
Pseudohyperanalytic functions. Zbl 0652.30030
Begehr, Heinrich; Gilbert, Robert P.
4
1988
A bounday-layer theory for the orthotropic plate. Zbl 0521.73046
Gilbert, Robert Pertsch; Schneider, Manfred Friedrich
3
1983
Finding an inclusion in a shallow ocean using the ICBA method. Zbl 1054.35520
Buchanan, J. L.; Gilbert, R. P.; Wirgin, A.
3
1999
A two-dimensional nonlinear theory of anisotropic plates. Zbl 0992.74047
Gilbert, R. P.; Vashakmadze, T. S.
3
2000
Acoustic waves in a shallow inhomogeneous ocean with a layer of sediment. Zbl 0870.76076
Gilbert, R. P.; Lin, Z.
3
1996
The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed. Zbl 0873.35106
Gilbert, R. P.; Xu, Yongzhi
3
1996
A class of nonlinear Riemann-Hilbert problems for the second order elliptic system. Zbl 0884.30038
Gilbert, Robert P.; Li, Mingzhong
3
1997
Poisson’s equation and generalized axially symmetric potential theory. Zbl 0121.32502
Gilbert, R. P.
3
1963
On solutions of the generalized bi-axially symmetric Helmholtz equation generated by integral operators. Zbl 0135.32003
Gilbert, R. P.; Howard, H. C.
3
1965
Some inequalities for generalized axially symmetric potentials with entire and meromorphic associates. Zbl 0135.32005
Gilbert, R. P.
3
1965
Multivalued harmonic functions in four variables. Zbl 0135.32202
Gilbert, R. P.
3
1965
On the analytic properties of solutions for a generalized, axially symmetric Schrödinger equation. Zbl 0142.07901
Gilbert, R. P.
3
1967
A second order, non-linear elliptic boundary value problem with generalized Goursat data. Zbl 0152.31102
Aziz, A. K.; Gilbert, R. P.; Howard, H. C.
3
1966
Analytic methods in mathematical physics. Based on the conference held at Indiana University, Bloomington, Indiana, June 2-6, 1968. Zbl 0194.29903
Gilbert, R. P.; Newton, R. G.
3
1970
A contribution to the Vekua-Rellich theory of metaharmonic functions. Zbl 0203.10503
Colton, D.; Gilbert, R. P.
3
1970
The scope of the function theoretic approach for equations permitting a separation of variables. Zbl 0219.35025
Gilbert, R. P.; Howard, H. C.
3
1971
Integral operator methods for approximating solutions of Dirichlet problems. Appendix by E. Atkinson. Zbl 0219.35030
Gilbert, R. P.
3
1970
Recovery of the poroelastic parameters of cancellous bone using low frequency acoustic interrogation. Zbl 1055.74542
Buchanan, James L.; Gilbert, Robert P.; Khashanah, Khaldoun
3
2002
Homogenization of a viscoelastic matrix in linear frictional contact. Zbl 1072.35031
Gilbert, Robert P.; Panchenko, Alexander; Xie, Xuming
3
2005
Determination of cancellous bone density using low frequency acoustic measurements. Zbl 1151.74382
Gilbert, Robert P.; Guyenne, Philippe; Hsiao, George C.
3
2008
Transfer functions for a one-dimensional fluid-poroelastic system subject to an ultrasonic pulse. Zbl 1239.76058
Buchanan, James L.; Gilbert, Robert P.; Ou, Miao-Jung
3
2012
Boundary value problems associated with first order elliptic systems in the plane. Zbl 0493.35045
Begehr, H.; Gilbert, R. P.
3
1982
A quantitative ultrasound model of the bone with blood as the interstitial fluid. Zbl 1255.74046
Gilbert, Robert P.; Guyenne, Philippe; Ou, M. Yvonne
3
2012
Hyperanalytic Riemann boundary value problems on rectifiable closed curves. Zbl 0741.30034
Gilbert, R. P.; Zeng, Yuesheng
3
1992
The two-dimensional nonlinear orthotropic plate. Zbl 0764.73041
Begehr, H.; Gilbert, R. P.; Lo, C. Y.
3
1991
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.
3
1992
Bergman projection and weighted holomorphic functions. Zbl 1049.32007
Chang, Der-Chen; Gilbert, Robert; Tie, Jingzhi
3
2003
Function theoretic methods in differential equations. Zbl 0326.00005
Gilbert, R. P. (ed.); Weinacht, R. J. (ed.)
3
1976
An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows. Zbl 1188.76205
Gilbert, R. P.; Fang, M.
3
2004
Construction of approximations to acoustic Green’s functions for nonhomogeneous oceans using transmutation. Zbl 0638.76095
Gilbert, Robert P.; Xu, Yongzhi; Wood, David H.
3
1988
Dispersion and attenuation in a porous viscoelastic model for gravity waves on an ice-covered ocean. Zbl 07109812
Chen, Hua; Gilbert, Robert P.; Guyenne, Philippe
1
2019
A Biot model for the determination of material parameters of cancellous bone from acoustic measurements. Zbl 1442.92077
Chen, Hua; Gilbert, Robert P.; Guyenne, Philippe
1
2018
Acoustic propagation in a random saturated medium: the biphasic case. Zbl 1292.35029
Gilbert, Robert P.; Panchenko, Alexander; Vasilic, Ana
1
2014
Simulation of a mixture model for ultrasound propagation through cancellous bone using staggered-grid finite differences. Zbl 1360.76182
Gilbert, Robert P.; Guyenne, Philippe; Li, Jing
1
2013
Lamb waves in a poroelastic plate. Zbl 1360.74065
Gilbert, Robert P.; Lee, Doo-Sung; Ou, M. Yvonne
1
2013
Harmonic vibration of prismatic shells in zero approximation of Vekua’s hierarchical models. Zbl 1292.74023
Chinchaladze, Natalia; Gilbert, Robert
1
2013
Modeling of the kinetics of vitamin \(\text{D}_3\) in osteoblastic cells. Zbl 1259.92021
Gilbert, Robert P.; Guyenne, Philippe; Liu, Ying
1
2013
Transfer functions for a one-dimensional fluid-poroelastic system subject to an ultrasonic pulse. Zbl 1239.76058
Buchanan, James L.; Gilbert, Robert P.; Ou, Miao-Jung
3
2012
A quantitative ultrasound model of the bone with blood as the interstitial fluid. Zbl 1255.74046
Gilbert, Robert P.; Guyenne, Philippe; Ou, M. Yvonne
3
2012
Recovery of the parameters of cancellous bone by inversion of effective velocities, and transmission and reflection coefficients. Zbl 1231.35297
Buchanan, James L.; Gilbert, Robert P.; Ou, Miao-jung Y.
2
2011
Application of a biphasic representative volume element to the simulation of wave propagation through cancellous bone. Zbl 1270.74140
Ilic, S.; Hackl, K.; Gilbert, R. P.
1
2011
Homogenizing the acoustics of cancellous bone with an interstitial non-Newtonian fluid. Zbl 1372.76091
Gilbert, R. P.; Panchenko, Alexander; Vasilic, Ana
1
2011
Investigation of the acoustic properties of the cancellous bone. Zbl 1302.74078
Gilbert, R. P.; Hackl, K.; Ilic, S.
2
2010
On the variational formulation of a transmission problem for the Biot equations. Zbl 1188.35050
Gilbert, Robert P.; Hsiao, George C.; Xu, Liwei
2
2010
Cusped elastic beams under the action of stresses and concentrated forces. Zbl 1423.74462
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.
1
2010
Acoustic propagation in a random saturated medium: the monophasic case. Zbl 1427.74017
Gilbert, Robert P.; Panchenko, Alexander; Vasilic, Ana
1
2010
Some inverse problems raised from a mathematical model of ductal carcinoma in situ. Zbl 1165.65388
Xu, Yongzhi; Gilbert, Robert
8
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
1
2009
Existence of weak solutions for a nonlinear elliptic system. Zbl 1189.35251
Fang, Ming; Gilbert, Robert P.
1
2009
Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. Zbl 1140.74016
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.
8
2008
Determination of cancellous bone density using low frequency acoustic measurements. Zbl 1151.74382
Gilbert, Robert P.; Guyenne, Philippe; Hsiao, George C.
3
2008
Determination of the parameters of cancellous bone using high frequency acoustic measurements. Zbl 1170.74026
Buchanan, James L.; Gilbert, Robert P.
11
2007
Determination of the parameters of cancellous bone using high frequency acoustic measurements. II: Inverse problems. Zbl 1198.74050
Buchanan, James L.; Gilbert, Robert P.
6
2007
Homogenizing the time-harmonic acoustics of bone: The monophasic case. Zbl 1132.35304
Fang, Ming; Gilbert, Robert P.; Panchenko, Alexander; Vasilic, Ana
6
2007
Non-isothermal, non-Newtonian Hele-Shaw flows within Cattaneo’s heat flux law. Zbl 1128.76005
Fang, Ming; Gilbert, Robert P.
2
2007
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
1
2007
Inverse problem for wave propagation in a perturbed layered half-space. Zbl 1130.74024
Gilbert, 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 1137.76051
Groby, J.-P.; De Ryck, L.; Leclaire, P.; Wirgin, A.; Lauriks, W.; Gilbert, R. P.; Xu, Y. S.
1
2007
Vibration of an elastic plate under action of an incompressible fluid in case of \( N= 0\) approximation of I. Vekua’s hierarchical models. Zbl 1123.74011
Chinchaladze, N. B.; Gilbert, R. P.
2
2006
Identification of objects in an acoustic wave guide inversion. II: Robin-Dirichlet conditions. Zbl 1094.35141
Lee, Doo-Sung; Gilbert, R. P.
2
2006
Hausdorff operator on the unit polydisk in \(\mathbb C^n\). Zbl 1121.47023
Chang, Der-Chen; Gilbert, Robert; Stević, Stevo
1
2006
Cylindrical vibration of an elastic cusped plate under the action of an incompressible fluid in case of \(N=0\) approximation of I. Vekua’s hierarchical models. Zbl 1188.74023
Chinchaladze, N. B.; Gilbert, R. P.
4
2005
Homogenization of a viscoelastic matrix in linear frictional contact. Zbl 1072.35031
Gilbert, Robert P.; Panchenko, Alexander; Xie, Xuming
3
2005
Viscosity dominated flows with temperature-dependent thermal conductivity. Zbl 1080.35047
Fang, Ming; Gilbert, Robert P.; Xu, Yongzhi S.
2
2005
Focused ultrasonic wave in submerged cancellous bone. Zbl 1198.74037
Gilbert, Robert P.; Lin, Wei; Xu, Yongzhi
1
2005
Green’s function for the Helmholtz equation in a layered half-space. Zbl 1188.35051
Gilbert, Robert; Xu, Yongzhi
1
2005
Marine acoustics. Direct and inverse problems. Zbl 1055.35134
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi S.
28
2004
Determination of the parameters of cancellous bone using low frequency acoustic measurements. Zbl 1235.76142
Buchanan, James L.; Gilbert, Robert P.; Khashanah, Khaldoun
14
2004
Effective acoustic equations for a two-phase medium with microstructure. Zbl 1064.76096
Gilbert, R. P.; Panchenko, A.
8
2004
An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows. Zbl 1188.76205
Gilbert, R. P.; Fang, M.
3
2004
Compression molding. II: Existence of the solution for a Hele-Shaw type model. Zbl 1277.35259
Fang, Ming; Gilbert, R. P.
2
2004
Transient reflection and transmission of ultrasonic wave in cancellous bone. Zbl 1070.74029
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi
4
2003
Bergman projection and weighted holomorphic functions. Zbl 1049.32007
Chang, Der-Chen; Gilbert, Robert; Tie, Jingzhi
3
2003
Compression molding. I: Generalized non-isothermal, non-Newtonian Hele-Shaw flow. Zbl 1277.35290
Fang, M.; Gilbert, R. P.
1
2003
Nonlinear systems arising from nonisothermal, non-Newtonian Hele-Shaw flows in the presence of body forces and sources. Zbl 1077.76515
Gilbert, R. P.; Fang, M.
9
2002
Extremal solutions of a class of dynamic boundary hemivariational inequalities. Zbl 1012.35052
Carl, Siegfried; Gilbert, R. P.
7
2002
Recovery of the poroelastic parameters of cancellous bone using low frequency acoustic interrogation. Zbl 1055.74542
Buchanan, James L.; Gilbert, Robert P.; Khashanah, Khaldoun
3
2002
Computer-supported calculus. Zbl 0993.68150
Ben-Israel, Adi; Gilbert, Robert P.
1
2002
Depth sounding: An illustration of some of the pitfalls of inverse scattering problems. Zbl 1109.62367
Buchanan, J.; Gilbert, R.; Wirgin, A.; Xu, Y.
1
2002
Homogenizing the acoustic properties of the seabed. II. Zbl 1050.76562
Clopeau, Th.; Ferrín, J. L.; Gilbert, R. P.; Mikelić, A.
37
2001
Determination of a buried object in a two-layered shallow ocean. Zbl 1360.76244
Gilbert, Robert P.; Werby, Michael; Xu, Yongzhi
6
2001
From convexity to nonconvexity. Dedicated to the memory of Gaetano Fichera. Zbl 0972.00025
Gilbert, Robert P.; Panagiotopoulos, Panagiotis D.; Pardalos, Panos M.
5
2001
Homogenizing the acoustic properties of the seabed. I. Zbl 0958.35108
Gilbert, R. P.; Mikelić, A.
46
2000
Acoustic imaging in a shallow ocean with a thin ice cap. Zbl 0968.35126
Gilbert, Robert P.; Xu, Yongzhi
7
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
5
2000
A two-dimensional nonlinear theory of anisotropic plates. Zbl 0992.74047
Gilbert, R. P.; Vashakmadze, T. S.
3
2000
Transmission loss in a depth-varying ocean over a poroelastic seabed. Zbl 0972.76093
Buchanan, James L.; Gilbert, Robert P.
1
2000
Determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. Zbl 0964.35177
Gilbert, Robert P.; Mawata, Christopher; Xu, Yongzhi
1
2000
Acoustics of a stratified poroelastic composite. Zbl 0959.74054
Gilbert, R. P.; Panchenko, A.
5
1999
Finding an inclusion in a shallow ocean using the ICBA method. Zbl 1054.35520
Buchanan, J. L.; Gilbert, R. P.; Wirgin, A.
3
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.
1
1999
Heinrich Begehr on his sixtieth birthday. Zbl 1015.01008
Gilbert, R. P.; Hile, G. N.
1
1999
The fundamental singularity in a shallow ocean with an elastic seabed. Zbl 0911.35078
Gilbert, R. P.; Lin, Zhongyan
2
1998
Acoustic Green’s function approximations. Zbl 1360.76242
Gilbert, Robert P.; Lin, Zhongyan; Hackl, Klaus
1
1998
Determination of the coefficients of an elastic seabed. Zbl 0906.35114
Buchanan, James L.; Gilbert, Robert P.
1
1998
Transmission loss in a shallow ocean over a two-layer seabed. Zbl 0920.73016
Buchanan, James L.; Gilbert, Robert P.
1
1998
Scattering in a shallow ocean with an elastic seabed. Zbl 1360.86003
Gilbert, R. P.; Lin, Zhongyan
5
1997
Green’s function representation for acoustic pressure over a poroelastic seabed. Zbl 0897.73012
Buchanan, James L.; Gilbert, Robert P.; Xu, Yongzhi
5
1997
Transmission loss in the far field over a one-layer seabed assuming the Biot sediment model. Zbl 0882.76089
Buchanan, J. L.; Gilbert, R. P.
4
1997
A class of nonlinear Riemann-Hilbert problems for the second order elliptic system. Zbl 0884.30038
Gilbert, Robert P.; Li, Mingzhong
3
1997
Direct and inverse problems in ocean acoustics. Zbl 0888.35134
Gilbert, R. P.; Lin, Zhongyan; Buchanan, J. L.
3
1997
Acoustic field in a shallow, stratified ocean with a poro-elastic seabed. Zbl 0889.76079
Gilbert, R. P.; Lin, Z.
2
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.
2
1997
Nonisothermal, non-Newtonian Hele-Shaw flows. II: Asymptotics and existence of weak solutions. Zbl 0909.76004
Gilbert, R. P.; Shi, P.
15
1996
Acoustic waves in a shallow inhomogeneous ocean with a layer of sediment. Zbl 0870.76076
Gilbert, R. P.; Lin, Z.
3
1996
The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed. Zbl 0873.35106
Gilbert, R. P.; Xu, Yongzhi
3
1996
Transmission loss in the far field over a seabed with rigid substrate assuming the Biot sediment model. Zbl 1360.74016
Buchanan, James L.; Gilbert, Robert P.
2
1996
An inverse problem in shallow ocean with an interactive seabed. Zbl 0925.76575
Gilbert, R. P.; Lin, Zhongyan
1
1996
The seamount problem. Zbl 0886.35169
Gilbert, R. P.; Xu, Yongzhi S.
1
1996
An acoustic inverse problem: numerical experiment. Zbl 1360.76199
Gilbert, R. P.; Lin, Zhongyan
2
1995
Wave propagation in a system: Porous media with Dirichlet’s condition on the boundary – continuous media. Zbl 0874.76082
Gilbert, R.; Gnélécoumbaga, S.; Panasenko, G.
1
1995
Asymptotic theories for plates and shells. Proceedings of the minisymposium held at the SIAM 40th anniversary meeting, Los Angeles, CA, USA, July 20-24, 1992. Zbl 0817.00021
Gilbert, R. P.; Hackl, K.
1
1995
The two-dimensional, linear thermoelastic plate. Zbl 0833.73019
Gilbert, R. P.; Hackl, K.
1
1995
Computation of the acoustic modal solutions in a shallow ocean with an elastic seabed. Zbl 0833.73037
Gilbert, Robert P.; Khashanah, Khaldoun; Swart, Barbara
1
1994
Wavelet solutions for time harmonic acoustic waves in a finite ocean. Zbl 1360.76241
Gilbert, R. P.; Lin, Wei
8
1993
On the conditions for uniqueness and existence of the solution to an acoustic inverse problem. I: Theory. Zbl 1360.35318
Gilbert, R. P.; Lin, Zhongyan
7
1993
Transformations, transmutations, and kernel functions. Vol. 2. Zbl 0827.35002
Begehr, Heinrich; Gilbert, Robert P.
6
1993
Vekua theory in higher dimensional complex spaces: The \(\Pi\)-operator in \(\mathbb{C}^ n\). Zbl 0796.32003
Gilbert, Robert P.; Hou, Z. Y.; Meng, X. W.
6
1993
An inverse problem for harmonic acoustics in stratified oceans. Zbl 0803.35158
Gilbert, Robert P.; Xu, Yongzhi
5
1993
Transformations, transmutations, and kernel functions. Vol. 1. Zbl 0827.35001
Begehr, Heinrich; Gilbert, Robert P.
19
1992
Generalized Herglotz functions and inverse scattering problems in a finite depth ocean. Zbl 0799.35222
Gilbert, R. P.; Xu, Yongzhi
4
1992
Hyperanalytic Riemann boundary value problems on rectifiable closed curves. Zbl 0741.30034
Gilbert, R. P.; Zeng, Yuesheng
3
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.
3
1992
Numerical solutions for some free boundary value problems occuring in planar fluid dynamics. Zbl 0782.35019
Gilbert, R. P.; Wen, Guochun
1
1992
The two-dimensional nonlinear orthotropic plate. Zbl 0764.73041
Begehr, H.; Gilbert, R. P.; Lo, C. Y.
3
1991
The propagation problem and far-field patterns in a stratified finite- depth ocean. Zbl 0702.35196
Gilbert, R. P.; Xu, Yongzhi
13
1990
A quasi-static contact problem in linear thermoelasticity. Zbl 0748.73011
Gilbert, R. P.; Shi, P.; Shillor, M.
11
1990
A solution to the equations of shell theory. Zbl 0708.73044
Buchanan, J. L.; Gilbert, R. P.
5
1990
The use of MACSYMA for solving elliptic boundary value problems. Zbl 0742.65080
Thejll, P.; Gilbert, R. P.
1
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
11
1989
...and 89 more Documents
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Cited by 512 Authors

98 Gilbert, Robert Pertsch
29 Xu, Yongzhi S.
22 Colton, David Lem
19 McCoy, Peter A.
15 Begehr, Heinrich
15 Buchanan, James L.
12 Shumilova, Vladlena Valerievna
11 Shamaev, Alexei S.
9 Fang, Ming
9 Mikelić, Andro
8 Koyunbakan, Hikmet
8 Liu, Keji
7 Abreu-Blaya, Ricardo
7 Bory Reyes, Juan
7 Dai, Daoqing
7 Kravchenko, Vladislav V.
7 Panchenko, Alexander N.
7 Tutschke, Wolfgang
7 Wirgin, Armand
6 Boukrouche, Mahdi
6 Bragg, Louis R.
6 Hile, Gerald N.
6 Kreyszig, Erwin
6 Lin, Wei
6 Soldatov, Aleksandr Pavlovich
5 Carroll, Robert W.
5 Howard, Henry Cobourn
5 Kumar, Devendra
5 Lee, Doo-Sung
5 Li, Heng
5 Rohan, Eduard
5 Shen, Youjian
5 Shi, Peter
5 Zayed, Ahmed I.
5 Zhou, Jianrong
4 Bentrad, Ali
4 Guyenne, Philippe
4 Herrera, Ismael
4 Hizliyel, Sezayi
4 Hsiao, George C.
4 Jaiani, George V.
4 Kracht, Manfred W.
4 Meirmanov, Anvarbek Mukatovich
4 Migórski, Stanisław
4 Millar, Robert F.
4 Plaksa, Sergiĭ Anatoliĭovych
4 Qiao, Yuying
4 Stavre, Ruxandra
4 Torba, Sergii M.
4 Vasilic, Ana
4 Xu, Dinghua
4 Yang, Heju
3 Bergman, Stefan
3 Copetti, Maria Inês M.
3 Florian, Helmut
3 Gryshchuk, Serhii V.
3 Gu, Longfei
3 Hackl, Klaus
3 Huang, Yu
3 Jank, Gerhard
3 Kharibegashvili, S. S.
3 Kukral, Dean K.
3 Li, Mingzhong
3 Lowndes, John S.
3 Motreanu, Dumitru
3 Naili, Salah
3 Natroshvili, David
3 Ochal, Anna
3 Ou, Miao-Jung Yvonne
3 Panasenko, Grigory P.
3 Peña Pérez, Yudier
3 Ptashnyk, Mariya
3 Reissig, Michael
3 Schneider, Manfred Friedrich
3 Sitnik, Sergei Mihailovich
3 Walter, Gilbert G.
3 Wang, Liping
3 Wen, Guo Chun
3 Zaĭtseva, Natal’ya Vladimirovna
3 Zhao, Yuqiu
3 Zhu, Jiang
3 Zou, Jun
2 Altun, Ishak
2 Amirov, Rauf Kh.
2 Árciga Alejandre, Martín Patricio
2 Berglez, Peter
2 Bermúdez, Alfredo
2 Boughammoura, Ahmed
2 Boumenir, Amin A.
2 Carl, Siegfried
2 Chaabi, Slah
2 Chen, Hua
2 Chinchaladze, Natalia
2 El Mir, Rachid
2 Ferrín, Jose Luis
2 Fryant, Allan J.
2 Gavrikov, Alexander A.
2 Goldschmidt, Bernd
2 Groby, Jean-Philippe
2 Karimov, Erkinjon Tulkinovich
...and 412 more Authors
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Cited in 154 Serials

67 Applicable Analysis
32 Journal of Mathematical Analysis and Applications
18 Mathematical Methods in the Applied Sciences
18 Journal of Differential Equations
18 Mathematical and Computer Modelling
17 Journal of Mathematical Sciences (New York)
17 Complex Variables and Elliptic Equations
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Journal of Computational Acoustics
11 Nonlinear Analysis. Theory, Methods & Applications
10 Journal of Approximation Theory
9 Archive for Rational Mechanics and Analysis
9 Journal of Computational and Applied Mathematics
9 Zeitschrift für Analysis und ihre Anwendungen
8 Mathematische Nachrichten
8 Proceedings of the American Mathematical Society
8 Journal of Elasticity
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Computers & Mathematics with Applications
7 Applied Mathematics and Computation
7 Advances in Applied Clifford Algebras
7 Complex Analysis and Operator Theory
6 Journal of Mathematical Physics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Applied Mathematics Letters
5 Inverse Problems
5 Wave Motion
5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Applied Mathematics and Mechanics. (English Edition)
5 Numerical Methods for Partial Differential Equations
5 European Journal of Applied Mathematics
5 Journal of Inequalities and Applications
5 Nonlinear Analysis. Real World Applications
5 Bulletin of the American Mathematical Society
4 Computer Methods in Applied Mechanics and Engineering
4 Journal d’Analyse Mathématique
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Transactions of the American Mathematical Society
4 Boundary Value Problems
3 Fluid Dynamics
3 Rocky Mountain Journal of Mathematics
3 Manuscripta Mathematica
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Journal of Global Optimization
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Russian Mathematics
3 Lobachevskii Journal of Mathematics
2 Acta Mechanica
2 International Journal of Engineering Science
2 Journal of Computational Physics
2 Moscow University Mathematics Bulletin
2 Applied Mathematics and Optimization
2 Glasgow Mathematical Journal
2 Mathematica Slovaca
2 Meccanica
2 Numerische Mathematik
2 Results in Mathematics
2 Acta Applicandae Mathematicae
2 Applied Numerical Mathematics
2 Computational Mechanics
2 Applied Mathematics. Series B (English Edition)
2 Integral Transforms and Special Functions
2 Doklady Mathematics
2 Mathematics and Mechanics of Solids
2 Journal of Shanghai University
2 European Journal of Mechanics. B. Fluids
2 Analysis (München)
2 Differential Equations
2 Journal of the Australian Mathematical Society
2 Multiscale Modeling & Simulation
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Journal of Siberian Federal University. Mathematics & Physics
1 Archives of Mechanics
1 Communications in Mathematical Physics
1 Journal of Engineering Mathematics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Theoretical and Computational Fluid Dynamics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Archiv der Mathematik
1 Demonstratio Mathematica
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal for Numerical Methods in Engineering
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Mathematika
1 Mechanics Research Communications
1 Memoirs of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Siberian Mathematical Journal
1 Statistica Neerlandica
...and 54 more Serials
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Cited in 36 Fields

330 Partial differential equations (35-XX)
131 Mechanics of deformable solids (74-XX)
131 Fluid mechanics (76-XX)
85 Functions of a complex variable (30-XX)
49 Numerical analysis (65-XX)
30 Potential theory (31-XX)
30 Biology and other natural sciences (92-XX)
26 Ordinary differential equations (34-XX)
26 Geophysics (86-XX)
25 Operator theory (47-XX)
18 Special functions (33-XX)
16 Integral equations (45-XX)
15 Several complex variables and analytic spaces (32-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Approximations and expansions (41-XX)
10 Functional analysis (46-XX)
9 Classical thermodynamics, heat transfer (80-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Integral transforms, operational calculus (44-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Optics, electromagnetic theory (78-XX)
5 Information and communication theory, circuits (94-XX)
4 History and biography (01-XX)
4 Real functions (26-XX)
4 Computer science (68-XX)
4 Quantum theory (81-XX)
4 Operations research, mathematical programming (90-XX)
3 Systems theory; control (93-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Mechanics of particles and systems (70-XX)

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