Gilbert, Robert; Ou, Miao-Jung Yvonne Near-field representations of the acoustic Green’s function in a shallow ocean with infinite elastic seabed. (English) Zbl 1360.76245 J. Comput. Acoust. 22, No. 2, Article ID 1350018, 12 p. (2014). MSC: 76Q05 PDFBibTeX XMLCite \textit{R. Gilbert} and \textit{M.-J. Y. Ou}, J. Comput. Acoust. 22, No. 2, Article ID 1350018, 12 p. (2014; Zbl 1360.76245) Full Text: DOI
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
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
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)
Buchanan, James L.; Gilbert, Robert P. Transmission loss in a depth-varying ocean over a poroelastic seabed. (English) Zbl 0972.76093 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, 21-37 (2000). MSC: 76Q05 76S05 86A05 PDFBibTeX XMLCite \textit{J. L. Buchanan} and \textit{R. P. Gilbert}, Int. Soc. Anal. Appl. Comput. 5, 21--37 (2000; Zbl 0972.76093)
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.; 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)
Gilbert, Robert P.; Xu, Yongzhi; Wood, David H. Construction of approximations to acoustic Green’s functions for nonhomogeneous oceans using transmutation. (English) Zbl 0638.76095 Wave Motion 10, No. 3, 285-297 (1988). MSC: 76Q05 35J05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Wave Motion 10, No. 3, 285--297 (1988; Zbl 0638.76095) Full Text: DOI
Gilbert, Robert P.; Lundin, Leroy R. On the numerical solution of pseudoparabolic equations. (English) Zbl 0515.35047 Z. Anal. Anwend. 2, No. 1, 25-36 (1983). MSC: 35K70 35C15 65N40 65N12 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{L. R. Lundin}, Z. Anal. Anwend. 2, No. 1, 25--36 (1983; Zbl 0515.35047) Full Text: DOI