\newcommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace} \bibliographystyle{amsplain} \begin{thebibliography}{99} \bibitem{Bowers95} %1 K. L. Bowers, T. S. Carlson, and J. Lund. Advection-diffusion equations: Temporal sinc methods. {\sl Numer. Meth. Partial Diff. Eq.}, 11(4):399-422, 1995. \bibitem{Bowerslund92} %2 K. L. Bowers and J. Lund. Numerical simulations: Boundary feedback stabilization. In {\sl Proc. of the 31st IEEE Conf. on Decision and Control}, 1:809-814, 1992. \bibitem{Brown}%3 J. Brown, A. Colling, D. Park, J. Phillips, D. Rothery, and J. Wright. {\sl Ocean Circulation,} The Open University, Keynes, 1989. \bibitem{Carlson93} %4 T. S. Carlson, J. Lund, and K. L. Bowers. A Sinc-Galerkin method for convection dominated transport. In K. L. Bowers and J. Lund, editors, {\sl Computation and Control III}, Birkh\"{a}user Boston, Inc., 121-139, 1993. \bibitem{Carter82}%5 D. J. T. Carter. Estimation of wave spectra from wave height and period. {\sl Inst. Oceanogr. Sci. Rep}, 135, 1982. \bibitem{Davis}%6 P. J. Davis. {\sl Circulant Matrices}, John Wiley \& Sons, Inc.,New York, 1979. \bibitem{Davies79}%7 A. M. Davies and A. Owen. Three-dimensional numerical sea model using Galerkin method with a polynomial basis set. {\sl Appl. Math. Modeling}, 3:421-428, 1979. \bibitem{Davies95}%8 A. M. Davies, P. J. Luyten, and E. Deleersnijder. Turbulence energy models in shallow sea oceanography. {\sl Quantitative Skill Assessment for Coastal Ocean Models, Coastal and Estuarine Studies, vol 47}, D. R. Lynch and A. M. Davies, eds, American Geophysical Union: Washington D.C., 97-123, 1995. \bibitem{Heaps81}%9 N. S. Heaps. On the numerical solution of the three-dimensional hydrodynamical equations for tides and storm surges. {\sl Mem. Soc. Sci. Liege., Ser. 6}, 1:143-180, 1971. \bibitem{Large81}%10 W. G. Large and S. Pond. Open ocean momentum flux measurements in moderate to strong winds. {\sl J. Phys. Oceanogr}, 11:324-336, 1981. \bibitem{Lewis87}%11 D. L. Lewis, J. Lund, and K. L. Bowers. The space-time Sinc-Galerkin method for parabolic problems. {\sl Internat. J. Numer. Methods in Engrg.}, 24(9):1629-1644, 1987. \bibitem{Lund92}%12 J. Lund and K. L. Bowers. {\sl Sinc Methods for Quadrature and Differential Equations,} SIAM: Philadelphia, 1992. \bibitem{Carlson91}%13 J. Lund, K. L. Bowers, and T. S. Carlson. Fully Sinc-Galerkin computation for boundary feedback stabilization. {\sl J. Math. Systems, Estimation and Control}, 1(2):165-182, 1991. \bibitem{McArthur87}%14 K. M. McArthur, K. L. Bowers, and J. Lund. Numerical implementation of the Sinc-Galerkin method for second-order hyperbolic equations. {\sl Numer. Meth. for Partial Diff. Eq.}, 3(2):169-185, 1987. \bibitem{McArthur92}%15 K. M. McArthur, R. C. Smith, J. Lund, and K. L. Bowers. The Sinc-Galerkin method for parameter dependent self-adjoint problems. {\sl Appl. Math. Comp.}, 50(2):175-202, 1992. \bibitem{Naimie96}%16 C. E. Naimie. {\sl A Turbulent Boundary Layer Model for the Linearized Shallow Water Equations, NUBBLE USER'S MANUAL (Release 1.1)}. Technical Report NML-96-1, Dartmouth College, July 31, 1996. \bibitem{Smith_Bogar91}%17 R. C. Smith, G. A. Bogar, K. L. Bowers, and J. Lund. The Sinc-Galerkin method for fourth-order differential equations. {\sl SIAM J. Numer. Anal}, 28(3):760-788, 1991. \bibitem{Smith91}%18 R. C. Smith and K. L. Bowers. A fully Galerkin method for the recovery of stiffness and damping parameters in Euler-Bernoulli beam models. In K. L. Bowers and J. Lund, editors, {\sl Computation and Control II}, Birkh\"{a}user Boston, Inc., 289-306, 1991. \bibitem{Smith_Bowers93}%19 R. C. Smith and K. L. Bowers. Sinc-Galerkin estimation of diffusivity in parabolic problems. {\sl Inverse Problems}, 9(1):113-135, 1993. \bibitem{SmithLund89}%20 R. C. Smith, K. L. Bowers, and J. Lund. Efficient numerical solution of fourth-order problems in the modeling of flexible structures. In K. L. Bowers. and J. Lund, editors, {\sl Computation and Control}, Birkh\"{a}user Boston, Inc., 283-297, 1989. \bibitem{Smith92} %21 R. C. Smith, K. L. Bowers, and J. Lund. A fully Sinc-Galerkin method for Euler-Bernoulli beam models. {\sl Numer. Meth. Partial Diff. Eq.}, 8(2):171-202, 1992. \bibitem{Smith_Bowers97}%22 R. C. Smith, K. L. Bowers, and J. Lund. Numerical recovery of material parameters in Euler-Bernoulli beam models. {\sl J. Math. Systems, Estimation, and Control}, 7(2):157-195, 1997. \bibitem{Stenger81}%23 F. Stenger. Numerical methods based on Whittaker cardinal, or sinc functions. {\sl SIAM Rev}, 23:165-224, 1981. \bibitem{Stenger93}%24 F. Stenger. {\sl Numerical Methods Based on Sinc and Analytic Functions,} Springer-Verlag, New York, 1993. \bibitem{Bowers00}%25 D. F. Winter, J. Lund, and K. L. Bowers. Wind-driven currents in a sea with a variable eddy viscosity calculated by a Sinc function Galerkin technique. {\sl Internat. J. Numer. Methods Fluids}, 33:1041-1073, 2000. %\bibitem{AaMar}J. M. Aarts and M. Martens, \textsl{Flows on %one-dimensional spaces}, Fundamenta Mathematicae {\bf 131} (1988), %53\textendash 67. \end{thebibliography} %%% Local Variables: %%% mode: latex %%% TeX-master: "template" %%% End: