Geodesic
Numerical solution of the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 207-219 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method of numerically solving the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary is described, and results are presented of calculating the wave field in the case of the first and second whispering gallery waves. 
@article{ZNSL_1976_62_a16,
     author = {M. M. Popov and I. Pshenchik},
     title = {Numerical solution of the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {207--219},
     year = {1976},
     volume = {62},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a16/}
}
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M. M. Popov; I. Pshenchik. Numerical solution of the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 207-219. http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a16/