Computation of the Motion of Long Water Waves 



Chan, R. K. C. , and Street, R. L. , "Shoaling of Finite- Amplitude 



Waves on Plane Beaches." Proc. 12th Conf. on Coastal Enginer- 

 ing, Washington, B.C. , ASCE, September 1970 [ 1970b]. 



Chan, R. K. C, and Street, R. L. , "SUMMAC -- A Numerical Model 

 for Water Waves," Stanford C. E. Dept. T. R. No. 135, 

 Stanford, Calif., August 1970 [1970c]. 



Chan, R. K. C. , Street, R. L. , and From, J. E. , "The Digital 



Simulation of Water Waves --An Evaluation of SUMMAC," 

 2nd International Conf. on Numer. Meth. In Fluid Dyn. , 

 Berkeley, Calif. , Springer- Verlag, Pub, , September, 1970. 



Fangmeler, D. D. , "Steady and Unsteady Potential Flow with Free 

 Surface and Gravity , " Ph.D. Dissertation to U.C. (Davis), 

 Davis, Calif. , 1967. 



Forsythe, G. E, , and Wasow, W. R. , Finite -Difference Methods 



for Partial Differential Equations, J. Wiley and Sons, Inc. , 

 I960. 



Freeman, J. C. and LeMehaute, B. , "Wave Breakers on a Beach 

 and Surges on a Dry Bed," J. Hydr. Dlv. , ASCE, V. 90, 

 No. HY2, pp. 187-216, March, 1964. 



Fromm, J. E. , "Practical Investigation of Convectlve Difference 



Approximation of Reduced Dispersion," IBM Research Report, 

 RJ531, IBM Res. Lab. , San Jose, Calif. , 1968. 



Heltner, K. L. , "A Mathematical Model for Calculation of the Run- 

 up of Tsunamis, " Earthquake Engrg. Res. Lab. Report, 

 Calif. Inst. Tech. , Pasadena, Calif. , May 1969. 



Hlrt, C. W. , Cook, J. L. , and Butler, T. D. , "A Lagranglan 



Method for Calculating the Dynamilcs of an Incompressible 

 Fluid with Free Surface," J. Compt. Physics, V. 5, No. 1, 

 April, 1970. 



Hwang, L. S. , Fersht, S. , and LeMehaute, B. , "Transformation and 

 Run-up of Tsunami Type Wave Trains on a Sloping Beach," 

 13th Cong, of lAHR, Kyoto, Japan, 31 Aug. to 5 Sept. 1969. 



Keulegan, G. H. , and Harrison, J. , "Tsunami Refraction Diagrams 

 by Digital Computer," J. Waterways and Harbors Dlv. , 

 ASCE, V. 96, No. WW2, Proc. Pap. 7261, pp. 219-233, 

 May 1970. 



Lautenbacher, C. C. , "Gravity Wave Refraction by Islands , " J. 

 Fluid Mech. , V. 41, Pt. 3, pp. 655-672, 29 April, 1970. 



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