References
- Crandall , M. and Majda , A. 1980 . The method of fractional steps of conservation laws . Numer. Math. , 34 : 285 – 314 .
- Fiedler , F. R. and Ramirez , J. A. 2000 . A numerical method for simulating discontinuous shallow flow over an infiltrating surface . Int. J. Numer. Mech. Fluids , 32 : 219 – 240 .
- Greenspan , H. 1968 . The Theory of Rotating Fluids , Cambridge : Cambridge University Press .
- Helal , M. A. 2000 . Shallow water waves in a rotating rectangular basin . Internat. J. Math. Math. Sci. , 24 ( 10 ) : 649 – 661 .
- Hendershott , M. C. 1981 . Long waves and ocean tides, in Evolution of Physical Oceanography , Edited by: Warren , B. A. and Wunsch , C. Cambridge, MA : MIT Press .
- Hutter , K. 1993 . Waves and oscillations in the ocean and in lakes, in Continuum Mechanics in Environmental Sciences and Geophysics , Edited by: Hutter , K. 79 – 240 . Wien, New York : Springer . CISM Courses Lectures No. 337
- Krauss , W. 1973 . Methods and Results of Theoretical Oceanography. Vol 1 – Dynamics of the Homogeneous and the Quasihomogeneous Ocean Berlin Gebr. Borntraeger
- Lamb , S. H. 1932 . Hydrodynamics , 6 Dover, New York
- LeBlond , P. H. and Mysak , L. A. 1978 . Waves in the Ocean , Amsterdam : Elsevier .
- Proudman , J. Proceedings of the London Mathematical Society, 2nd Series . On the dynamical theory of tides. Part II. flat seas , Vol. 18 , pp. 21 – 50 .
- Rao , D. 1966 . Free gravitational oscillations in rotating rectangular basins . J. Fluid Mech. , 25 : 523 – 555 .
- Rayleigh , L. 1903 . On the vibrations of rectangular sheet of rotating liquid . Phil. Mag. , 5 : 297 – 301 .
- Shoucri , M. 2004 . The application of a fractional steps method for the numerical solution of the shallow water equations . Comput. Phys. Commun. , 164 ( 1–3 ) : 396 – 401 .
- Taylor , G. I. Proceedings of the London Mathematical Society Series 2 . Tidal oscillations in gulfs and basins , Vol. XX , pp. 148 – 181 .
- Yakimiw , E. and Robert , A. 1986 . Accuracy and stability analysis of a fully implicit scheme for the shallow-water equations . Mon. Weather Rev. , 114 ( 1 ) : 240 – 244 .
- Yanenko , N. N. 1971 . The Method of Fractional Steps: The Solution of Problems of Mathematical Physics in Several Variables , Berlin, New York : Springer-Verlag .