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On the parabolic equation method for water-wave propagation. (English) Zbl 0415.76012

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
76M20 Finite difference methods applied to problems in fluid mechanics
31A99 Two-dimensional potential theory
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[1] Radder, Rijkswaterstaat, Data Processing Division, Rep. 58 pp 1178– (1977)
[2] Flokstra, Delft Hydraulics Laboratory, Rep. 50 pp 361– (1977)
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[4] Candel, J. Fluid Mech. 90 pp 465– (1979)
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[7] Berkhoff, Report on Mathematical investigation, Delft Hydraulics Laboratory, Rep. 1 pp none– (1976)
[8] Berkhoff, Proc. 13th Coastal Engng Conf., Vancouver, A.S.C.E. 1 pp none– (1972)
[9] DOI: 10.1121/1.380801 · Zbl 0318.76057
[10] DOI: 10.1070/PU1959v002n05ABEH003170
[11] Lundgren, Proc. 15th Coastal Engng Conf., Hawaii, A.S.C.E. 51 pp 669– (1976)
[12] DOI: 10.1103/PhysRev.51.669 · Zbl 0017.01705
[13] DOI: 10.1137/0134016 · Zbl 0392.35017
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[18] DOI: 10.1121/1.1907693
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