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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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References:

[1] Radder, Rijkswaterstaat, Data Processing Division, Rep. 58 pp 1178– (1977)
[2] Flokstra, Delft Hydraulics Laboratory, Rep. 50 pp 361– (1977)
[3] DOI: 10.1016/0022-247X(75)90029-3 · Zbl 0313.35020 · doi:10.1016/0022-247X(75)90029-3
[4] Candel, J. Fluid Mech. 90 pp 465– (1979)
[5] Biéasel, Proc. 13th Coastal Engng Conf., Vancouver, A.S.C.E. 1 pp 1271– (1972)
[6] DOI: 10.1002/nme.1620110808 · Zbl 0367.76014 · doi:10.1002/nme.1620110808
[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 · doi:10.1121/1.380801
[10] DOI: 10.1070/PU1959v002n05ABEH003170 · 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 · doi:10.1103/PhysRev.51.669
[13] DOI: 10.1137/0134016 · Zbl 0392.35017 · doi:10.1137/0134016
[14] Jonsson, Inst. Hydrodyn. Hydraul. Engng, Tech. Univ. Denmark, Progr. Rep. 31 pp 13– (1973)
[15] Ito, Proc. 13th Coastal Engng Conf., Vancouver, A.S.C.E. 1 pp 361– (1972)
[16] Svendsen, Coastal Engng Lab. and Hydraulic Lab. Tech. Univ. Denmark, Basic Res.-Progr. Rep. 15 pp 373– (1967)
[17] Smith, J. Fluid Mech. 72 pp 373– (1975)
[18] DOI: 10.1121/1.1907693 · doi:10.1121/1.1907693
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