Radder, A. C. On the parabolic equation method for water-wave propagation. (English) Zbl 0415.76012 J. Fluid Mech. 95, 159-176 (1979). Reviewer: T. O. Shaposhnikova Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 29 Documents 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 Keywords:parabolic equation method; reduced wave equation; complex two-dimensional potential function; local phase and group velocity; shoaling water; transmitted and reflected components; Crank-Nicolson finite-difference equation; bottom profile; surface waves PDFBibTeX XMLCite \textit{A. C. Radder}, J. Fluid Mech. 95, 159--176 (1979; Zbl 0415.76012) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.