Geodesic
Numerical solution to a two-dimensional hypersingular integral equation and sound propagation in urban areas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 2088-2100

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A mathematical model of sound propagation from a noise source in urban areas is constructed. The exterior Neumann problem for the scalar Helmholtz equation is reduced to a system of hypersingular integral equations. A numerical method for solving the system of integral equations is described. The convergence of the quadrature formulas underlying the numerical method is estimated. Numerical results are presented for particular applications. 
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     author = {V. A. Gutnikov and V. Yu. Kiryakin and I. K. Lifanov and A. V. Setukha and S. L. Stavtsev},
     title = {Numerical solution to a~two-dimensional hypersingular integral equation and sound propagation in urban areas},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2088--2100},
     publisher = {mathdoc},
     volume = {47},
     number = {12},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a9/}
}
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V. A. Gutnikov; V. Yu. Kiryakin; I. K. Lifanov; A. V. Setukha; S. L. Stavtsev. Numerical solution to a two-dimensional hypersingular integral equation and sound propagation in urban areas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 2088-2100. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a9/