Buchanan, James L.; Gilbert, Robert Pertsch Some remarks on the dynamics of cell membranes. (English) Zbl 1518.92054 Nonlinear Anal., Real World Appl. 73, Article ID 103896, 23 p. (2023). MSC: 92C37 35Q92 PDFBibTeX XMLCite \textit{J. L. Buchanan} and \textit{R. P. Gilbert}, Nonlinear Anal., Real World Appl. 73, Article ID 103896, 23 p. (2023; Zbl 1518.92054) Full Text: DOI
Gilbert, Robert P.; Shoushani, Michael Decomposition of transmitted ultrasound wave through a 2-D muscle-bone system. (English) Zbl 1527.35135 Math. Methods Appl. Sci. 45, No. 11, 6568-6582 (2022). MSC: 35C10 35G15 74H45 74L15 92-08 92-10 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{M. Shoushani}, Math. Methods Appl. Sci. 45, No. 11, 6568--6582 (2022; Zbl 1527.35135) Full Text: DOI
Allaire, Grégoire (ed.); Amaziane, Brahim (ed.); Gilbert, Robert (ed.); Jäger, Willy (ed.); Piatnitski, Andrey (ed.); Vernescu, Bogdan (ed.) Introduction to the Andro Mikelic memorial volume. (English) Zbl 1493.00047 Appl. Anal. 101, No. 12, 4043-4045 (2022). MSC: 00B30 35-06 76-06 00B15 01A70 PDFBibTeX XMLCite \textit{G. Allaire} (ed.) et al., Appl. Anal. 101, No. 12, 4043--4045 (2022; Zbl 1493.00047) Full Text: DOI
Gilbert, Robert P.; Hsiao, George C. Time dependent solutions for the Biot equations. (English) Zbl 1414.74010 Rogosin, Sergei (ed.) et al., Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 171-191 (2019). MSC: 74F10 74M15 65M38 74L15 35G46 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G. C. Hsiao}, in: Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. 171--191 (2019; Zbl 1414.74010) Full Text: DOI
Panasenko, Grigory (ed.); Gilbert, Robert P. (ed.); Pankov, Alexander (ed.) Introduction. Vassily Vassilievich Zhikov. (English) Zbl 1409.00110 Appl. Anal. 98, No. 1-2, 1-2 (2019). MSC: 00B15 35-06 01A70 PDFBibTeX XMLCite \textit{G. Panasenko} (ed.) et al., Appl. Anal. 98, No. 1--2, 1--2 (2019; Zbl 1409.00110) Full Text: DOI
Gilbert, Robert P.; Hsiao, George C.; Shoushani, Michael The Biot model for anisotropic poro-elastic media. (English) Zbl 07775155 ZAMM, Z. Angew. Math. Mech. 97, No. 2, 130-143 (2017). MSC: 35Jxx 74Fxx 74Sxx PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 2, 130--143 (2017; Zbl 07775155) Full Text: DOI
Fang, Ming; Gilbert, Robert P.; Rowe, Patrick; Vasilic, Ana Homogenization of time harmonic acoustics of bone: biphasic case. (English) Zbl 1316.35019 Int. J. Evol. Equ. 9, No. 1, 71-98 (2014). MSC: 35B27 35Q74 PDFBibTeX XMLCite \textit{M. Fang} et al., Int. J. Evol. Equ. 9, No. 1, 71--98 (2014; Zbl 1316.35019)
Gilbert, Robert P.; Panchenko, Alexander; Vasilic, Ana Acoustic propagation in a random saturated medium: the biphasic case. (English) Zbl 1292.35029 Appl. Anal. 93, No. 4, 676-697 (2014). MSC: 35B27 74Q99 74F10 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Appl. Anal. 93, No. 4, 676--697 (2014; Zbl 1292.35029) Full Text: DOI
Chinchaladze, Natalia; Gilbert, Robert Harmonic vibration of prismatic shells in zero approximation of Vekua’s hierarchical models. (English) Zbl 1292.74023 Appl. Anal. 92, No. 11, 2275-2287 (2013). MSC: 74K20 35J70 PDFBibTeX XMLCite \textit{N. Chinchaladze} and \textit{R. Gilbert}, Appl. Anal. 92, No. 11, 2275--2287 (2013; Zbl 1292.74023) Full Text: DOI
Buchanan, James L.; Gilbert, Robert; Ou, Yvonne; Nohe, Anja; Schaefer, Rachel The kinetics of vitamin D\(_3\) in the osteoblastic cell. (English) Zbl 1272.92009 Bull. Math. Biol. 75, No. 9, 1612-1635 (2013). MSC: 92C37 92C30 35B20 35Q92 PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., Bull. Math. Biol. 75, No. 9, 1612--1635 (2013; Zbl 1272.92009) Full Text: DOI
Buchanan, James L.; Gilbert, Robert P.; Ou, Miao-jung Y. Recovery of the parameters of cancellous bone by inversion of effective velocities, and transmission and reflection coefficients. (English) Zbl 1231.35297 Inverse Probl. 27, No. 12, Article ID 125006, 23 p. (2011). MSC: 35R30 74L15 92Cxx PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., Inverse Probl. 27, No. 12, Article ID 125006, 23 p. (2011; Zbl 1231.35297) Full Text: DOI Link
Leonardi, Salvatore (ed.); Gilbert, Robert P. (ed.) Special issue: Nonlinear partial differential equations, in honour of Franco Nicolosi. Based on the symposium on nonlinear partial differential equations and applications, NPDE, Catania, Italy, June 22–25, 2009. (English) Zbl 1250.35005 Complex Var. Elliptic Equ. 56, No. 12, 1049-1181 (2011). MSC: 35-06 35Jxx 35K99 00B30 00B25 PDFBibTeX XML
Fang, Ming; Gilbert, Robert P.; Liu, Xian-Gao A squeeze flow problem with a Navier slip condition. (English) Zbl 1201.76058 Math. Comput. Modelling 52, No. 1-2, 268-277 (2010). MSC: 76D27 35Q30 PDFBibTeX XMLCite \textit{M. Fang} et al., Math. Comput. Modelling 52, No. 1--2, 268--277 (2010; Zbl 1201.76058) Full Text: DOI
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. Cusped elastic beams under the action of stresses and concentrated forces. (English) Zbl 1423.74462 Appl. Anal. 89, No. 5, 757-774 (2010). MSC: 74K10 35L80 PDFBibTeX XMLCite \textit{N. Chinchaladze} et al., Appl. Anal. 89, No. 5, 757--774 (2010; Zbl 1423.74462) Full Text: DOI
Gilbert, Robert P.; Hsiao, George C.; Xu, Liwei On the variational formulation of a transmission problem for the Biot equations. (English) Zbl 1188.35050 Appl. Anal. 89, No. 5, 745-755 (2010). MSC: 35J05 35J20 35C15 65N38 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Appl. Anal. 89, No. 5, 745--755 (2010; Zbl 1188.35050) Full Text: DOI
Fang, Ming; Gilbert, Robert P. Existence of weak solutions for a nonlinear elliptic system. (English) Zbl 1189.35251 Bound. Value Probl. 2009, Article ID 708389, 15 p. (2009). MSC: 35Q35 35J47 35J61 35J25 35D30 76D27 PDFBibTeX XMLCite \textit{M. Fang} and \textit{R. P. Gilbert}, Bound. Value Probl. 2009, Article ID 708389, 15 p. (2009; Zbl 1189.35251) Full Text: DOI EuDML
Amaziane, Brahim (ed.); Jurak, Mladen (ed.); Gilbert, Robert P. (ed.) Special issue: Mathematical modelling and numerical simulation of flow and transport in porous media. Selected papers based on the presentations at the conference ‘Scaling up and modeling for transport and flow in porous media’, Dubrovnik, Croatia, October 13–16, 2008. (English) Zbl 1215.35005 Appl. Anal. 88, No. 10-11, 1429-1616 (2009). MSC: 35-06 35Q35 00A71 00A72 00B25 PDFBibTeX XML
Begehr, H. G. W. (ed.); Çelebi, A. O. (ed.); Gilbert, R. P. (ed.); Kaptanoğlu, H. T. (ed.) Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. (English) Zbl 1169.00010 Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). xix, 856 p. (2009). MSC: 00B25 34-06 35-06 44-06 45-06 46-06 47-06 49-06 65-06 92-06 PDFBibTeX XMLCite \textit{H. G. W. Begehr} (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13--18, 2007. Hackensack, NJ: World Scientific (2009; Zbl 1169.00010)
Gilbert, Robert P.; Guyenne, Philippe; Hsiao, George C. Determination of cancellous bone density using low frequency acoustic measurements. (English) Zbl 1151.74382 Appl. Anal. 87, No. 10-11, 1213-1225 (2008). MSC: 74L15 92C50 35R30 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Appl. Anal. 87, No. 10--11, 1213--1225 (2008; Zbl 1151.74382) Full Text: DOI
Gilbert, Robert P.; Ronkese, Robert J. An asymptotic model of a nonlinear Kelvin-Voigt viscoelastic plate. Reprinted from the International Journal of Evolution Equations 2, No. 3(2007) and 2, No. 4(2008). (English) Zbl 1160.35366 N’Guérékata, Gaston M. (ed.), Trends in evolution equation research. Hauppauge, NY: Nova Science Publishers (ISBN 978-1-60456-270-5/hbk). 1-19 (2008). Reviewer: Igor Bock (Bratislava) MSC: 35C20 74K20 74D10 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{R. J. Ronkese}, in: Trends in evolution equation research. Hauppauge, NY: Nova Science Publishers. 1--19 (2008; Zbl 1160.35366)
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. (English) Zbl 1140.74016 Math. Methods Appl. Sci. 31, No. 11, 1345-1367 (2008). MSC: 74K25 74G25 74G30 35Q72 PDFBibTeX XMLCite \textit{N. Chinchaladze} et al., Math. Methods Appl. Sci. 31, No. 11, 1345--1367 (2008; Zbl 1140.74016) Full Text: DOI
Fang, Ming; Gilbert, Robert P.; Panchenko, Alexander; Vasilic, Ana Homogenizing the time-harmonic acoustics of bone: The monophasic case. (English) Zbl 1132.35304 Math. Comput. Modelling 46, No. 3-4, 331-340 (2007). MSC: 35B27 35Q72 74C15 92C50 74D10 PDFBibTeX XMLCite \textit{M. Fang} et al., Math. Comput. Modelling 46, No. 3--4, 331--340 (2007; Zbl 1132.35304) Full Text: DOI
Gilbert, Robert; Ou, Miao-jung Near field representations of the acoustic Green’s function in a shallow ocean with infinite elastic seabed. (English) Zbl 1133.35009 J. Anal. Appl. 5, No. 1, 1-16 (2007). MSC: 35B30 65M30 76Q05 PDFBibTeX XMLCite \textit{R. Gilbert} and \textit{M.-j. Ou}, J. Anal. Appl. 5, No. 1, 1--16 (2007; Zbl 1133.35009)
Gilbert, Robert; Ou, Miao-Jung Near field representations of the acoustic Green’s function in a shallow ocean with fluid-like seabed. (English) Zbl 1141.35307 Georgian Math. J. 14, No. 1, 109-122 (2007). MSC: 35A08 35A35 35J05 41A60 74H10 PDFBibTeX XMLCite \textit{R. Gilbert} and \textit{M.-J. Ou}, Georgian Math. J. 14, No. 1, 109--122 (2007; Zbl 1141.35307)
Fang, Ming; Gilbert, Robert P. Non-isothermal, non-Newtonian Hele-Shaw flows within Cattaneo’s heat flux law. (English) Zbl 1128.76005 Math. Comput. Modelling 46, No. 5-6, 765-775 (2007). MSC: 76A05 76D27 35Q35 80A20 PDFBibTeX XMLCite \textit{M. Fang} and \textit{R. P. Gilbert}, Math. Comput. Modelling 46, No. 5--6, 765--775 (2007; Zbl 1128.76005) Full Text: DOI
Gilbert, Robert P.; Ronkese, Robert J. An asymptotic model of a nonlinear Kelvin-Voigt viscoelastic plate. (English) Zbl 1133.35026 Int. J. Evol. Equ. 2, No. 3, 235-253 (2007). Reviewer: Igor Bock (Bratislava) MSC: 35C20 74D10 74K20 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{R. J. Ronkese}, Int. J. Evol. Equ. 2, No. 3, 235--253 (2007; Zbl 1133.35026)
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou Computing porosity of cancellous bone using ultrasonic waves. (English) Zbl 1113.92033 J. Appl. Funct. Anal. 2, No. 2, 185-195 (2007). MSC: 92C50 92C55 74F10 35Q92 76S05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., J. Appl. Funct. Anal. 2, No. 2, 185--195 (2007; Zbl 1113.92033)
Begehr, H. G. W. (ed.); Celebi, A. O. (ed.); Gilbert, R. P (ed.) Special issue: Snapshots in applied complex analysis, Part C. Proceedings of the workshop on recent trends in applied complex analysis, Middle East Technical University, Ankara, Turkey, June 1–5, 2004. (English) Zbl 1112.30302 J. Appl. Funct. Anal. 2, No. 3, v, 197-306 p. (2007). MSC: 30-06 35-06 00B25 PDFBibTeX XML
Begehr, H. G. W. (ed.); Celebi, A. O. (ed.); Gilbert, R. P (ed.) Special issue: Snapshots in applied complex analysis, Part B. Proceedings of the workshop on recent trends in applied complex analysis, Middle East Technical University, Ankara, Turkey, June 1–5, 2004. (English) Zbl 1112.30301 J. Appl. Funct. Anal. 2, No. 2, v, 101-195 (2007). MSC: 30-06 35-06 00B25 PDFBibTeX XML
Begehr, H. G. W. (ed.); Celebi, A. O. (ed.); Gilbert, R. P (ed.) Special issue: Snapshots in applied complex analysis, Part A. Proceedings of the workshop on recent trends in applied complex analysis, Middle East Technical University, Ankara, Turkey, June 1–5, 2004. (English) Zbl 1112.30300 J. Appl. Funct. Anal. 2, No. 1, v, 1-98 (2007). MSC: 30-06 35-06 00B25 PDFBibTeX XML
Lee, Doo-Sung; Gilbert, R. P. Identification of objects in an acoustic wave guide inversion. II: Robin-Dirichlet conditions. (English) Zbl 1094.35141 Math. Methods Appl. Sci. 29, No. 4, 401-414 (2006). MSC: 35R30 35J25 76Q05 PDFBibTeX XMLCite \textit{D.-S. Lee} and \textit{R. P. Gilbert}, Math. Methods Appl. Sci. 29, No. 4, 401--414 (2006; Zbl 1094.35141) Full Text: DOI
Fang, Ming; Gilbert, R. P. Nonexistence of solutions to Hele-Shaw equations. (English) Zbl 1153.35338 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, 686-691 (2005). MSC: 35J85 35D05 35R35 35B45 PDFBibTeX XMLCite \textit{M. Fang} and \textit{R. P. Gilbert}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, 686--691 (2005; Zbl 1153.35338) Full Text: DOI
Buchanan, James L.; Gilbert, Robert P.; Xu, Yongzhi Ultrasound as a diagnostic tool to determine osteoporosis. (English) Zbl 1087.92046 Begehr, H. G. W. (ed.) et al., Advances in analysis. Proceedings of the 4th international ISAAC congress, Toronto, Canada, August 11–16, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-398-9/hbk). 345-354 (2005). MSC: 92C55 76Q05 74F10 92C50 35Q92 92C05 PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., in: Advances in analysis. Proceedings of the 4th international ISAAC congress, Toronto, Canada, August 11--16, 2003. Hackensack, NJ: World Scientific. 345--354 (2005; Zbl 1087.92046)
Gilbert, Robert; Xu, Yongzhi Green’s function for the Helmholtz equation in a layered half-space. (English) Zbl 1188.35051 Complex Variables, Theory Appl. 50, No. 7-11, 869-876 (2005). MSC: 35J05 35J08 PDFBibTeX XMLCite \textit{R. Gilbert} and \textit{Y. Xu}, Complex Variables, Theory Appl. 50, No. 7--11, 869--876 (2005; Zbl 1188.35051) Full Text: DOI
Chinchaladze, N. B.; Gilbert, R. P. 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. (English) Zbl 1188.74023 Complex Variables, Theory Appl. 50, No. 7-11, 479-496 (2005). MSC: 74H45 74K20 35Q74 74F10 76D05 PDFBibTeX XMLCite \textit{N. B. Chinchaladze} and \textit{R. P. Gilbert}, Complex Variables, Theory Appl. 50, No. 7--11, 479--496 (2005; Zbl 1188.74023) Full Text: DOI
Begehr, H. G. W. (ed.); Gilbert, R. P. (ed.); Muldoon, M. E. (ed.); Wong, M. W. (ed.) Advances in analysis. Proceedings of the 4th international ISAAC congress, Toronto, Canada, August 11–16, 2003. (English) Zbl 1076.35003 Hackensack, NJ: World Scientific (ISBN 981-256-398-9/hbk). xiv, 556 p. (2005). MSC: 35-06 30-06 00B25 PDFBibTeX XMLCite \textit{H. G. W. Begehr} (ed.) et al., Advances in analysis. Proceedings of the 4th international ISAAC congress, Toronto, Canada, August 11--16, 2003. Hackensack, NJ: World Scientific (2005; Zbl 1076.35003)
Fang, Ming; Gilbert, Robert P.; Xu, Yongzhi S. Viscosity dominated flows with temperature-dependent thermal conductivity. (English) Zbl 1080.35047 Math. Methods Appl. Sci. 28, No. 10, 1201-1217 (2005). MSC: 35M10 35J70 74F05 74D05 PDFBibTeX XMLCite \textit{M. Fang} et al., Math. Methods Appl. Sci. 28, No. 10, 1201--1217 (2005; Zbl 1080.35047) Full Text: DOI
Gilbert, Robert P.; Panchenko, Alexander; Xie, Xuming Homogenization of a viscoelastic matrix in linear frictional contact. (English) Zbl 1072.35031 Math. Methods Appl. Sci. 28, No. 3, 309-328 (2005). MSC: 35B27 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Math. Methods Appl. Sci. 28, No. 3, 309--328 (2005; Zbl 1072.35031) Full Text: DOI
Gilbert, R. P.; Fang, M. An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows. (English) Zbl 1188.76205 Commun. Appl. Anal. 8, No. 4, 459-489 (2004). MSC: 76D27 35D99 35J86 35R35 76A05 76D03 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{M. Fang}, Commun. Appl. Anal. 8, No. 4, 459--489 (2004; Zbl 1188.76205)
Fang, Ming; Gilbert, R. P. Compression molding. II: Existence of the solution for a Hele-Shaw type model. (English) Zbl 1277.35259 Z. Anal. Anwend. 23, No. 4, 783-807 (2004). MSC: 35M10 35D30 35J70 35K55 35Q35 76D27 PDFBibTeX XMLCite \textit{M. Fang} and \textit{R. P. Gilbert}, Z. Anal. Anwend. 23, No. 4, 783--807 (2004; Zbl 1277.35259) Full Text: DOI
Lin, Zhongyan; Gilbert, R. P. Numerical algorithm based on transmutation for solving inverse wave equation. (English) Zbl 1063.65101 Math. Comput. Modelling 39, No. 13, 1467-1476 (2004). MSC: 65M32 65M70 65M12 35L05 35R30 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{R. P. Gilbert}, Math. Comput. Modelling 39, No. 13, 1467--1476 (2004; Zbl 1063.65101) Full Text: DOI
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi S. Marine acoustics. Direct and inverse problems. (English) Zbl 1055.35134 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-547-4/pbk). xii, 336 p. (2004). Reviewer: Alfredo Lorenzi (Milano) MSC: 35R30 35-02 35R25 35J05 35J25 35B27 35C15 35C20 35P10 35P25 86A22 86A05 76Q05 PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., Marine acoustics. Direct and inverse problems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2004; Zbl 1055.35134) Full Text: DOI
Gilbert, Robert P.; Ou, Miao-Jung A uniqueness theorem of the 3-dimensional acoustic scattering problem in a shallow Ocean with a fluid-like seabed. (English) Zbl 1360.76243 J. Comput. Acoust. 11, No. 4, 535-549 (2003). MSC: 76Q05 35J05 35P25 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{M.-J. Ou}, J. Comput. Acoust. 11, No. 4, 535--549 (2003; Zbl 1360.76243) Full Text: DOI
Begehr, Heinrich G. (ed.); Gilbert, Robert Pertsch (ed.); Wong, Man Wah (ed.) Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20–25, 2001. (English) Zbl 1051.35002 River Edge, NJ: World Scientific (ISBN 981-238-572-X/set; 981-238-968-7/v.1; 981-238-967-9/v.2). xxxii, 1490 p. (2003). MSC: 35-06 30-06 00B25 PDFBibTeX XMLCite \textit{H. G. Begehr} (ed.) et al., Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20--25, 2001. River Edge, NJ: World Scientific (2003; Zbl 1051.35002)
Fang, M.; Gilbert, R. P. Compression molding. I: Generalized non-isothermal, non-Newtonian Hele-Shaw flow. (English) Zbl 1277.35290 Agarwal, Ravi P. (ed.) et al., Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 1. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1711-1/hbk; 1-4020-1688-3/set). 513-530 (2003). MSC: 35Q35 35R35 76A05 76D08 76D27 80A99 PDFBibTeX XMLCite \textit{M. Fang} and \textit{R. P. Gilbert}, in: Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 1. Dordrecht: Kluwer Academic Publishers. 513--530 (2003; Zbl 1277.35290)
Chang, Der-Chen; Gilbert, Robert; Tie, Jingzhi Bergman projection and weighted holomorphic functions. (English) Zbl 1049.32007 Alpay, Daniel (ed.), Reproducing kernel spaces and applications. Basel: Birkhäuser (ISBN 3-7643-0068-X/hbk). Oper. Theory, Adv. Appl. 143, 147-169 (2003). Reviewer: Harold P. Boas (College Station) MSC: 32A25 32A35 32A36 35N15 47B38 PDFBibTeX XMLCite \textit{D.-C. Chang} et al., in: Reproducing kernel spaces and applications. Basel: Birkhäuser. 147--169 (2003; Zbl 1049.32007)
Begehr, Heinrich G. W. (ed.); Gilbert, Robert P. (ed.); Wong, Man Wah (ed.) Analysis and applications–ISAAC 2001. Proceedings of the 3rd international congress, Berlin, Germany, August 20–25, 2001. (English) Zbl 1031.35002 International Society for Analysis, Applications and Computation. 10. Dordrecht: Kluwer Academic Publishers. x, 316 p. (2003). MSC: 35-06 30-06 00B25 PDFBibTeX XMLCite \textit{H. G. W. Begehr} (ed.) et al., Analysis and applications--ISAAC 2001. Proceedings of the 3rd international congress, Berlin, Germany, August 20--25, 2001. Dordrecht: Kluwer Academic Publishers (2003; Zbl 1031.35002)
Buchanan, J.; Gilbert, R.; Wirgin, A.; Xu, Y. Depth sounding: An illustration of some of the pitfalls of inverse scattering problems. (English) Zbl 1109.62367 Math. Comput. Modelling 35, No. 11-12, 1315-1354 (2002). MSC: 62P35 62P99 35R30 PDFBibTeX XMLCite \textit{J. Buchanan} et al., Math. Comput. Modelling 35, No. 11--12, 1315--1354 (2002; Zbl 1109.62367) Full Text: DOI
Gilbert, R. P.; Fang, M. Nonlinear systems arising from nonisothermal, non-Newtonian Hele-Shaw flows in the presence of body forces and sources. (English) Zbl 1077.76515 Math. Comput. Modelling 35, No. 13, 1425-1444 (2002). MSC: 76D27 76A05 35Q35 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{M. Fang}, Math. Comput. Modelling 35, No. 13, 1425--1444 (2002; Zbl 1077.76515) Full Text: DOI
Carl, Siegfried; Gilbert, R. P. Extremal solutions of a class of dynamic boundary hemivariational inequalities. (English) Zbl 1012.35052 J. Inequal. Appl. 7, No. 4, 479-502 (2002). Reviewer: Jong Yeoul Park (Pusan) MSC: 35K85 35K60 35B05 49J52 PDFBibTeX XMLCite \textit{S. Carl} and \textit{R. P. Gilbert}, J. Inequal. Appl. 7, No. 4, 479--502 (2002; Zbl 1012.35052) Full Text: DOI
Gilbert, R. P.; Ou, Miao-Jung; Xu, Yongzhi S. The unknown object problem in a sea with sloping bottom. (English) Zbl 1022.76048 Appl. Anal. 78, No. 3-4, 497-511 (2001). MSC: 76Q05 35R30 35J05 86A05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Appl. Anal. 78, No. 3--4, 497--511 (2001; Zbl 1022.76048) Full Text: DOI
Gilbert, Robert P.; Ou, Miao; Xu, Yongzhi S. The seamount on a sloping seabed problem. (English) Zbl 0992.35117 Vajravelu, K. (ed.), Differential equations and nonlinear mechanics. Proceedings of the international conference, Orlando, FL, USA, March 17-19, 1999. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 528, 101-112 (2001). Reviewer: Andreas Kirsch (Karlsruhe) MSC: 35R30 35J05 76Q05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Math. Appl., Dordr. 528, 101--112 (2001; Zbl 0992.35117)
Clopeau, Th.; Ferrín, J. L.; Gilbert, R. P.; Mikelić, A. Homogenizing the acoustic properties of the seabed. II. (English) Zbl 1050.76562 Math. Comput. Modelling 33, No. 8-9, 821-841 (2001). MSC: 76M50 76Q05 76S05 74F10 35B27 PDFBibTeX XMLCite \textit{Th. Clopeau} et al., Math. Comput. Modelling 33, No. 8--9, 821--841 (2001; Zbl 1050.76562) Full Text: DOI
Gilbert, Robert P.; Xu, Yongzhi Acoustic imaging in a shallow ocean with a thin ice cap. (English) Zbl 0968.35126 Inverse Probl. 16, No. 6, 1799-1811 (2000). MSC: 35R30 35J05 76Q05 86A22 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Y. Xu}, Inverse Probl. 16, No. 6, 1799--1811 (2000; Zbl 0968.35126) Full Text: DOI
Buchanan, James L.; Gilbert, Robert P.; Wirgin, Armand; Xu, Yongzhi Identification by the intersecting canonical domain method, of the size, shape and depth of a soft body of revolution located within an acoustic waveguide. (English) Zbl 0968.35123 Inverse Probl. 16, No. 6, 1709-1726 (2000). MSC: 35R30 35J05 76Q05 86A22 PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., Inverse Probl. 16, No. 6, 1709--1726 (2000; Zbl 0968.35123) Full Text: DOI
Buchanan, J. L.; Gilbert, R. P.; Ou, M. Implementation of the method of variation of boundaries for three-dimensional objects in a waveguide. (English) Zbl 0989.76007 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 482-488 (2000). MSC: 76B15 85A05 35R30 PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 482--488 (2000; Zbl 0989.76007)
Gilbert, Robert P.; Mawata, Christopher; Xu, Yongzhi Determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. (English) Zbl 0964.35177 Gilbert, Robert P. (ed.) et al., Direct and inverse problems of mathematical physics. Papers presented at special sessions of the ISAAC’97 congress, University of Delaware, Newark, DE, USA, June 2-7, 1997. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 5, 107-124 (2000). MSC: 35R30 35J05 76Q05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Int. Soc. Anal. Appl. Comput. 5, 107--124 (2000; Zbl 0964.35177)
Gilbert, R. P.; Mikelić, A. Homogenizing the acoustic properties of the seabed. I. (English) Zbl 0958.35108 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 185-212 (2000). Reviewer: Alexander A.Kovalevsky (Donetsk) MSC: 35Q35 76Q05 35B27 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{A. Mikelić}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1--8, 185--212 (2000; Zbl 0958.35108) Full Text: DOI
Gilbert, Robert P. (ed.); Kajiwara, Joji (ed.); Xu, Yongzhi S. (ed.) Direct and inverse problems of mathematical physics. Papers presented at special sessions of the ISAAC’97 congress, University of Delaware, Newark, DE, USA, June 2–7, 1997. (English) Zbl 0940.00034 International Society for Analysis, Applications and Computation. 5. Dordrecht: Kluwer Academic Publishers. vii, 451 p. (2000). MSC: 00B25 35-06 65-06 74-06 76-06 78-06 PDFBibTeX XMLCite \textit{R. P. Gilbert} (ed.) et al., Direct and inverse problems of mathematical physics. Papers presented at special sessions of the ISAAC'97 congress, University of Delaware, Newark, DE, USA, June 2--7, 1997. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0940.00034)
Buchanan, James L.; Gilbert, R. P.; Wirgin, A.; Xu, Yongzhi S. The unidentified object problem in a shallow ocean with a fluid-like sediment layer overlying a rigid seabed. (English) Zbl 1034.35149 Appl. Anal. 73, No. 1-2, 5-17 (1999). MSC: 35R30 65N21 86A22 PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., Appl. Anal. 73, No. 1--2, 5--17 (1999; Zbl 1034.35149) Full Text: DOI
Buchanan, J. L.; Gilbert, R. P.; Wirgin, A. Finding an inclusion in a shallow ocean using the ICBA method. (English) Zbl 1054.35520 Appl. Anal. 71, No. 1-4, 347-378 (1999). MSC: 35R30 35J05 76Q05 86A05 PDFBibTeX XMLCite \textit{J. L. Buchanan} et al., Appl. Anal. 71, No. 1--4, 347--378 (1999; Zbl 1054.35520) Full Text: DOI
Begehr, Heinrich G. W. (ed.); Gilbert, Robert P. (ed.); Wen, Guo-Chen (ed.) Partial differential and integral equations. Proceedings of the international congress of the International Society for Analysis, Applications and Computing, ISAAC ’97, Newark, DE, USA, June 3–7, 1997. (English) Zbl 0908.00019 International Society for Analysis, Applications and Computation. 2. Dordrecht: Kluwer Academic Publishers. x, 369 p. (1999). MSC: 00B25 35-06 45-06 32-06 46-06 PDFBibTeX XMLCite \textit{H. G. W. Begehr} (ed.) et al., Partial differential and integral equations. Proceedings of the international congress of the International Society for Analysis, Applications and Computing, ISAAC '97, Newark, DE, USA, June 3--7, 1997. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0908.00019)
Gilbert, R. P.; Lin, Z. J. Underwater acoustics. (English) Zbl 0910.76077 Florian, Helmut (ed.) et al., Generalized analytic functions: theory and applications to mechanics. Proceedings of the conference, Graz, Austria, January 6–10, 1997. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 1, 215-228 (1998). MSC: 76Q05 86A05 35R30 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Z. J. Lin}, Int. Soc. Anal. Appl. Comput. 1, 215--228 (1998; Zbl 0910.76077)
Gilbert, R. P. Applications of reproducing kernels to partial differential systems. (English) Zbl 0905.35022 Florian, Helmut (ed.) et al., Generalized analytic functions: theory and applications to mechanics. Proceedings of the conference, Graz, Austria, January 6–10, 1997. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 1, 41-54 (1998). MSC: 35C15 46E22 35J45 PDFBibTeX XMLCite \textit{R. P. Gilbert}, Int. Soc. Anal. Appl. Comput. 1, 41--54 (1998; Zbl 0905.35022)
Gilbert, R. P.; Lin, Zhongyan The fundamental singularity in a shallow ocean with an elastic seabed. (English) Zbl 0911.35078 Appl. Anal. 68, No. 1-2, 87-107 (1998). Reviewer: Dang Dinh Ang (Ho Chi Minh City) MSC: 35P10 35J55 35P25 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Z. Lin}, Appl. Anal. 68, No. 1--2, 87--107 (1998; Zbl 0911.35078) Full Text: DOI
Buchanan, James L.; Gilbert, Robert P. Determination of the coefficients of an elastic seabed. (English) Zbl 0906.35114 Appl. Anal. 68, No. 1-2, 75-86 (1998). MSC: 35R30 35J05 35P25 PDFBibTeX XMLCite \textit{J. L. Buchanan} and \textit{R. P. Gilbert}, Appl. Anal. 68, No. 1--2, 75--86 (1998; Zbl 0906.35114) Full Text: DOI
Gilbert, R. P.; Lin, Zhongyan; Buchanan, J. L. Direct and inverse problems in ocean acoustics. (English) Zbl 0888.35134 Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1535-1546 (1997). MSC: 35R30 86A22 86A05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1535--1546 (1997; Zbl 0888.35134) Full Text: DOI
Gilbert, R. P.; Shi, P. Nonisothermal, non-Newtonian Hele-Shaw flows. II: Asymptotics and existence of weak solutions. (English) Zbl 0909.76004 Nonlinear Anal., Theory Methods Appl. 27, No. 5, 539-559 (1996). MSC: 76A05 35Q35 35B40 76D08 35D05 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{P. Shi}, Nonlinear Anal., Theory Methods Appl. 27, No. 5, 539--559 (1996; Zbl 0909.76004) Full Text: DOI
Gilbert, R. P.; Xu, Yongzhi S. The seamount problem. (English) Zbl 0886.35169 Angell, T. S. (ed.) et al., Nonlinear problems in applied mathematics. In honor of Ivar Stakgold on his 70th birthday. Philadelphia, PA: SIAM. 140-149 (1996). MSC: 35R30 76Q05 86A22 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Y. S. Xu}, in: Nonlinear problems in applied mathematics. In honor of Ivar Stakgold on his 70th birthday. Philadelphia, PA: SIAM. 140--149 (1996; Zbl 0886.35169)
Gilbert, R. P.; Lin, Zhongyan An inverse problem in shallow ocean with an interactive seabed. (English) Zbl 0925.76575 Z. Angew. Math. Mech. 76, Suppl. 4, 57-59 (1996). MSC: 76Q05 86A05 35R30 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Z. Lin}, Z. Angew. Math. Mech. 76, 57--59 (1996; Zbl 0925.76575) Full Text: DOI
Gilbert, R. P.; Xu, Yongzhi The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed. (English) Zbl 0873.35106 Appl. Anal. 63, No. 1-2, 77-86 (1996). MSC: 35R30 76Q05 74H45 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Y. Xu}, Appl. Anal. 63, No. 1--2, 77--86 (1996; Zbl 0873.35106) Full Text: DOI
Gilbert, R. P.; Wen, G.-C. The weak solution for the generalized hyperanalytic equations of thin elastic shell theory. (English) Zbl 0834.73047 Gilbert, R. P. (ed.) et al., 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. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 319, 81-86 (1995). Reviewer: K.N.Srivastava (Bhopal) MSC: 74K15 35Q72 35Q15 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G. C. Wen}, Pitman Res. Notes Math. Ser. 319, 81--86 (1995; Zbl 0834.73047)
Gilbert, R. P.; Hackl, K. The two-dimensional, linear thermoelastic plate. (English) Zbl 0833.73019 Gilbert, R. P. (ed.) et al., 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. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 319, 67-80 (1995). Reviewer: Józef Ignaczak (Warszawa) MSC: 74K20 80A20 35B40 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{K. Hackl}, Pitman Res. Notes Math. Ser. 319, 67--80 (1995; Zbl 0833.73019)
Gilbert, R.; Gnélécoumbaga, S.; Panasenko, G. Wave propagation in a system: Porous media with Dirichlet’s condition on the boundary – continuous media. (English) Zbl 0874.76082 Cohen, Gary (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24–28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 449-455 (1995). MSC: 76S05 35L05 35B27 PDFBibTeX XMLCite \textit{R. Gilbert} et al., in: Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24--28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 449--455 (1995; Zbl 0874.76082)
Gilbert, R. P.; Xu, Zhenyuan Several Hele Shaw flows associated with injection molding. (English) Zbl 0819.76081 Yang, Chung-Chun (ed.) et al., Complex analysis and its applications. Proceedings of the international conference, held in Hong Kong, January 15-17, 1993. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 305, 26-37 (1994). Reviewer: V.A.Sava (Iaşi) MSC: 76S05 30C20 35Q35 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Z. Xu}, Pitman Res. Notes Math. Ser. 305, 26--37 (1994; Zbl 0819.76081)
Begehr, Heinrich; Gilbert, Robert P. Transformations, transmutations, and kernel functions. Vol. 2. (English) Zbl 0827.35002 Pitman Monographs and Surveys in Pure and Applied Mathematics. 59. Harlow: Longman Scientific & Technical. New York, NY: Wiley, 268 p. (1993). Reviewer: R.Heersink (Graz) MSC: 35-02 35J55 35G10 35K25 35J25 35J40 30G30 31B30 35A20 45E05 PDFBibTeX XMLCite \textit{H. Begehr} and \textit{R. P. Gilbert}, Transformations, transmutations, and kernel functions. Vol. 2. Harlow: Longman Scientific \& Technical; New York, NY: Wiley (1993; Zbl 0827.35002)
Gilbert, R. P.; Lin, Zhongyan On the conditions for uniqueness and existence of the solution to an acoustic inverse problem. I: Theory. (English) Zbl 1360.35318 J. Comput. Acoust. 1, No. 2, 229-247 (1993). MSC: 35R30 76Q05 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Z. Lin}, J. Comput. Acoust. 1, No. 2, 229--247 (1993; Zbl 1360.35318) Full Text: DOI
Gilbert, R. P.; Lin, Wei Wavelet solutions for time harmonic acoustic waves in a finite ocean. (English) Zbl 1360.76241 J. Comput. Acoust. 1, No. 1, 31-60 (1993). MSC: 76Q05 76M10 35J05 65M60 86A05 65T60 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{W. Lin}, J. Comput. Acoust. 1, No. 1, 31--60 (1993; Zbl 1360.76241) Full Text: DOI
Gilbert, R. P.; Wen, Guo-Chun Some initial boundary value problems for nonlinear pseudoparabolic system. (English) Zbl 0816.35071 Math. Nachr. 163, 27-34 (1993). MSC: 35K70 35A05 35B45 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G.-C. Wen}, Math. Nachr. 163, 27--34 (1993; Zbl 0816.35071) Full Text: DOI
Gilbert, Robert P.; Hou, Z. Y.; Meng, X. W. Vekua theory in higher dimensional complex spaces: The \(\Pi\)-operator in \(\mathbb{C}^ n\). (English) Zbl 0796.32003 Complex Variables, Theory Appl. 21, No. 1-2, 99-105 (1993). MSC: 32A30 30C62 35N05 58J10 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Complex Variables, Theory Appl. 21, No. 1--2, 99--105 (1993; Zbl 0796.32003) Full Text: DOI
Gilbert, R. P.; Wen, Guochun Two free boundary problems occurring in planar filtrations. (English) Zbl 0797.35173 Nonlinear Anal., Theory Methods Appl. 21, No. 11, 859-868 (1993). MSC: 35R35 76S05 35J85 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G. Wen}, Nonlinear Anal., Theory Methods Appl. 21, No. 11, 859--868 (1993; Zbl 0797.35173) Full Text: DOI
Gilbert, R. P.; Thejll, Peter Solving elliptic equations in three dimensions using symbolic manipulation. (English) Zbl 0816.65087 Kühnau, R. (ed.) et al., Geometric function theory and applications of complex analysis and its applications to partial differential equations 2. Proceedings, 5th conference, held in Halle (GDR), in December 1988. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 257, 203-216 (1993). Reviewer: H.Begehr (Berlin) MSC: 65N38 65N35 65N15 68W30 35J25 35-04 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{P. Thejll}, Pitman Res. Notes Math. Ser. 257, 203--216 (1993; Zbl 0816.65087)
Gilbert, R. P.; Wen, G. C. Integral and boundary value problems for nonlinear systems of composite type. (English) Zbl 0787.35021 Z. Anal. Anwend. 12, No. 2, 343-352 (1993). MSC: 35F20 35F30 35M20 35B45 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G. C. Wen}, Z. Anal. Anwend. 12, No. 2, 343--352 (1993; Zbl 0787.35021) Full Text: DOI
Gilbert, R. P.; Li, Mingzhong Nonlinear boundary value problems for certain second-order, overdetermined, elliptic systems. (English) Zbl 0743.35025 Complex Variables, Theory Appl. 22, No. 1-2, 11-22 (1993). Reviewer: Li Mingzhong (Shanghai) MSC: 35J65 35N10 35C15 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{M. Li}, Complex Variables, Theory Appl. 22, No. 1--2, 11--22 (1993; Zbl 0743.35025) Full Text: DOI
Gilbert, Robert P.; Xu, Yongzhi An inverse problem for harmonic acoustics in stratified oceans. (English) Zbl 0803.35158 J. Math. Anal. Appl. 176, No. 1, 121-137 (1993). Reviewer: B.Hofmann (Chemnitz) MSC: 35R30 45D05 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Y. Xu}, J. Math. Anal. Appl. 176, No. 1, 121--137 (1993; Zbl 0803.35158) Full Text: DOI Link
Begehr, Heinrich; Gilbert, Robert P. Transformations, transmutations, and kernel functions. Vol. 1. (English) Zbl 0827.35001 Pitman Monographs and Surveys in Pure and Applied Mathematics. 58. Harlow: Longman Scientific & Technical. New York, NY: Wiley, 399 p. (1992). Reviewer: R.Heersink (Graz) MSC: 35-02 35J25 35J40 30G20 35A22 35J65 35Q15 74K15 76Q05 PDFBibTeX XMLCite \textit{H. Begehr} and \textit{R. P. Gilbert}, Transformations, transmutations, and kernel functions. Vol. 1. Harlow: Longman Scientific \& Technical; New York, NY: Wiley (1992; Zbl 0827.35001)
Gilbert, R. P.; Wen, Guochun Numerical solutions for some free boundary value problems occuring in planar fluid dynamics. (English) Zbl 0782.35019 Z. Anal. Anwend. 11, No. 4, 531-537 (1992). MSC: 35J50 65N30 30C62 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G. Wen}, Z. Anal. Anwend. 11, No. 4, 531--537 (1992; Zbl 0782.35019) Full Text: DOI
Gilbert, R. P.; Xu, Yongzhi Generalized Herglotz functions and inverse scattering problems in a finite depth ocean. (English) Zbl 0799.35222 Corones, James P. (ed.) et al., Invariant imbedding and inverse problems. Proceedings of the symposium, held in Albuquerque, New Mexico, USA, April 19-21, 1990. Philadelphia, PA: SIAM. Proc. Appl. Math. 216-229 (1992). Reviewer: A.Kirsch (Erlangen) MSC: 35R30 35P25 78A45 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Y. Xu}, Proc. Appl. Math. 216--229, 216--229 (1992; Zbl 0799.35222)
Gilbert, R. P.; Xu, Y.; Thejll, P. An approximation scheme for the three-dimensional scattered wave and its propagating far-field pattern in a finite depth ocean. (English) Zbl 0765.76079 Z. Angew. Math. Mech. 72, No. 10, 459-480 (1992). MSC: 76Q05 35R30 86A05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Z. Angew. Math. Mech. 72, No. 10, 459--480 (1992; Zbl 0765.76079) Full Text: DOI
Gilbert, R. P.; Xu, Yongzhi Acoustic waves and far-field patterns in two dimensional oceans with porous-elastic seabeds. (English) Zbl 0761.76092 Result. Math. 22, No. 3-4, 685-700 (1992). MSC: 76Q05 35P25 74F10 76S05 86A05 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Y. Xu}, Result. Math. 22, No. 3--4, 685--700 (1992; Zbl 0761.76092) Full Text: DOI
Gilbert, R. P.; Wen, Guochun Approximate solutions for some free boundary value problems occurring in planar fluid dynamics. (English) Zbl 0787.35126 Wen, Guo-Chun (ed.) et al., Integral equations and boundary value problems. Proceedings of the international conference. Beijing, China, 2-7 September 1990. Singapore: World Scientific. 40-48 (1991). MSC: 35R35 76S05 76M20 35M10 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G. Wen}, in: Integral equations and boundary value problems. Proceedings of the international conference. Beijing, China, 2-7 September 1990. Singapore: World Scientific. 40--48 (1991; Zbl 0787.35126)
Gilbert, R. P.; Howard, H. C. Ordinary and partial differential equations with applications. (English) Zbl 0708.34001 Ellis Horwood Series in Mathematics and its Applications. New York etc.: Ellis Horwood. viii, 613 p. £76.50 (1990). Reviewer: J.Appell MSC: 34-01 35-01 34A12 65J99 34B24 44A15 47E05 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{H. C. Howard}, Ordinary and partial differential equations with applications. New York etc.: Ellis Horwood (1990; Zbl 0708.34001)
Buchanan, J. L.; Gilbert, R. P. A solution to the equations of shell theory. (English) Zbl 0708.73044 Math. Methods Appl. Sci. 12, No. 4, 341-363 (1990). Reviewer: G.V.Vasiliev MSC: 74K15 30G35 30G20 35Q15 PDFBibTeX XMLCite \textit{J. L. Buchanan} and \textit{R. P. Gilbert}, Math. Methods Appl. Sci. 12, No. 4, 341--363 (1990; Zbl 0708.73044) Full Text: DOI
Gilbert, R. P.; Xu, Yongzhi The propagation problem and far-field patterns in a stratified finite- depth ocean. (English) Zbl 0702.35196 Math. Methods Appl. Sci. 12, No. 3, 199-208 (1990). Reviewer: P.Bolley MSC: 35P25 35J05 35J25 35R30 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{Y. Xu}, Math. Methods Appl. Sci. 12, No. 3, 199--208 (1990; Zbl 0702.35196) Full Text: DOI
Thejll, P.; Gilbert, R. P. The use of MACSYMA for solving elliptic boundary value problems. (English) Zbl 0742.65080 Z. Angew. Math. Mech. 70, No. 11, 479-488 (1990). Reviewer: A.Pomp (Stuttgart) MSC: 65N45 68W30 35J25 PDFBibTeX XMLCite \textit{P. Thejll} and \textit{R. P. Gilbert}, Z. Angew. Math. Mech. 70, No. 11, 479--488 (1990; Zbl 0742.65080) Full Text: DOI
Gilbert, Robert P.; Shi, Peter Anisotropic Hele-Shaw flows. (English) Zbl 0687.35111 Math. Methods Appl. Sci. 11, No. 4, 417-429 (1989). Reviewer: A.Fasano MSC: 35R35 35J20 76D99 35J25 35J85 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{P. Shi}, Math. Methods Appl. Sci. 11, No. 4, 417--429 (1989; Zbl 0687.35111) Full Text: DOI
Gilbert, R. P.; Wen, Guochun Free boundary problems occurring in planar fluid dynamics. (English) Zbl 0676.35087 Nonlinear Anal., Theory Methods Appl. 13, No. 3, 285-303 (1989). Reviewer: W.Wendt MSC: 35R35 76S05 30C62 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{G. Wen}, Nonlinear Anal., Theory Methods Appl. 13, No. 3, 285--303 (1989; Zbl 0676.35087) Full Text: DOI
Gilbert, R. P.; Shi, Peter Harmonic representation of the Hele-Shaw free boundaries. (English) Zbl 0674.35089 Complex Variables, Theory Appl. 11, No. 1, 21-24 (1989). Reviewer: W.Okrasinski MSC: 35R35 35A20 31B20 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{P. Shi}, Complex Variables, Theory Appl. 11, No. 1, 21--24 (1989; Zbl 0674.35089) Full Text: DOI
Buchanan, J. L.; Gilbert, R. P. Hypermembrane shells. (English) Zbl 0686.73047 Trends in applications of mathematics to mechanics, Proc. 7th Symp., Wassenaar/Netherl. 1987, 261-272 (1988). MSC: 74K15 35J99 30G35 35Q15 PDFBibTeX XML
Gilbert, R. P.; Magnanini, R. A moving boundary problem associated with flow through a porous medium. (English) Zbl 0657.76077 Nonlinear Anal., Theory Methods Appl. 12, No. 2, 109-119 (1988). Reviewer: G.Pasa MSC: 76S05 35Q99 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{R. Magnanini}, Nonlinear Anal., Theory Methods Appl. 12, No. 2, 109--119 (1988; Zbl 0657.76077) Full Text: DOI