A mild‐slope wave equation and its application to tsunami calculations

References

• Acton , F. S. 1970 . Numerical Methods that Work , 541 New York : Harper & Row .
   Google Scholar
• Berkhoff , J. C. W. Computation of combined refraction‐diffraction . Proceedings of the 13th Coastal Engineering Conference . July 1972 , Vancouver. Vol. 1 , pp. 471 – 490 . New York : American Society of Civil Engineers . Chapter 24
   Google Scholar
• Berkhoff , J. C. W. 1976 . Mathematical models for simple harmonic linear water waves: wave diffraction and refraction , Publ. No. 163 112 Delft Hydraulic Laboratory .
   Google Scholar
• Christiansen , P. L. Diffraction of gravity waves by large islands . Proceedings of the 14th Coastal Engineering Conference . June 1974 , Copenhagen. Vol. 1 , pp. 601 – 614 . New York : American Society of Civil Engineers . Chapter 34
   Google Scholar
• Christiansen , P. L. Diffraction of gravity waves by ray methods . Proceedings of a IUTAM Symposium . July 1976 , Canberra. Waves on Water of Varying Depth , Edited by: Provis , D. G. and Radok , R. Vol. 64 , pp. 28 – 38 . Canberra : Australian Academy of Science . Berlin: Springer‐Verlag, Lecture Notes in Physics
   Google Scholar
• Homma , S. 1950 . On the behaviour of seismic sea waves around circular island . Geophysical Magazine , 21 : 199 – 208 .
   Google Scholar
• Jonsson , I. G. and Brink‐Kjær , O. 1973 . A comparison between two reduced wave equations for gradually varying depth , Progress Report no. 31 13 – 18 . Institute of Hydrodynamics and Hydraulic Engineering (ISVA), Technical University of Denmark .
   Google Scholar
• Jonsson , I. G. , Skovgaard , O. and Brink‐Kjær , O. 1976 . Diffraction and refraction calculations for waves incident on an island . Journal of Marine Research , 34 : 469 – 496 .
   Web of Science ®Google Scholar
• Keller , J. B. 1962 . Geometrical theory of diffraction . Journal of the Optical Society of America , 52 : 116 – 130 .
   PubMed Web of Science ®Google Scholar
• Meyer , R. E. 1971 . “ Resonance of unbounded water bodies ” . In Mathematical Problems in the Geophysical Sciences , Edited by: Reid , W. H. Vol. 13 , 189 – 227 . American Mathematical Society . Lectures in Applied Mathematics
   Google Scholar
• Skovgaard , O. , Jonsson , I. G. and Bertelsen , J. A. 1975 . Computation of wave heights due to refraction and friction . Proceedings of the American Society of Civil Engineers, Journal of Waterways, Harbors and Coastal Engineering Division , 101 ( WW1 ) : 15 – 32 . Closure, 1976 Vol. 102 (WW1)100–105
   Google Scholar
• Vastano , A. C. and Reid , R. O. 1967 . Tsunami response for islands: Verification of a numerical procedure . Journal of Marine Research , 25 : 129 – 139 .
   Web of Science ®Google Scholar
• Williams , J. A. and Kartha , T. D. K. 1969 . Model study of long‐wave amplification by circular islands . Bulletin of the Seismological Society of America , 59 : 299 – 316 .
   Google Scholar
• Present address: Laboratory of Applied Mathematical Physics, Technical University of Denmark, Building 303, DK‐2800 Lyngsby.
   Google Scholar