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Numerical boundary conditions and computational modes. (English) Zbl 0272.76010

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
39A05 General theory of difference equations
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[1] Chen, J.H., Finite difference methods and the leading edge problem, ()
[2] Platzman, G.W., The lattice structure of the finite-difference primitive and vorticity equations, Mon. wea. rev., 86, 8, 285-292, (1958)
[3] Nitta, T., The outflow boundary condition in numerical time integration of advective equations, J. met. soc. Japan, 40, 1, 13-24, (1962)
[4] Shapiro, M.A.; O’Brien, J.J., Boundary conditions for fine-mesh limited-area forecasts, J. appl. mat., 9, 345-349, (1970)
[5] Matsuno, T., Numerical integrations of the primitive equations by a simulated backward difference method, J. met. soc. Japan, ser., 2, 44, 76-84, (1966)
[6] Hill, G.E., Grid telescoping in numerical weather prediction, J. appl. meteor., 7, 29-38, (1968)
[7] {\scJ. H. Chen and K. Miyakoda}, to be published.
[8] Matsuno, T., False reflection of waves at the boundary due to the use of finite differences, J. met. soc. Japan, 44, 145-157, (1966)
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