Geodesic
Resolvent approach to the Fourier method in a mixed problem for the wave equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 621-630 Cet article a éte moissonné depuis la source Math-Net.Ru

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The method of contour integration as applied to the resolvent of the spectral problem is used to substantiate the Fourier method in a mixed problem for the wave equation with a complex potential and boundary conditions generalizing free-end boundary conditions. Minimum smoothness assumptions are made about the initial data. Krylov’s technique of accelerating the convergence of the Fourier method is essentially employed. 
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V. V. Kornev; A. P. Khromov. Resolvent approach to the Fourier method in a mixed problem for the wave equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 621-630. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a9/

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