Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures

Author:

Samokhin A. B.,Samokhina A. S.,Yurchenkov I. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference8 articles.

1. Colton, D. and Kress, R., Integral Equation Methods in Scattering Theory, New York–Chichester–Brisbane–Toronto–Singapore: John Wiley & Sons, 1983. Translated under the title: Metody integral’nykh uravnenii v teorii rasseyaniya, Moscow: Mir, 1990.

2. Koshlyakov, N.S., Gliner, E.B., and Smirnov, M.M., Uravneniya v chastnykh proizvodnykh matematicheskoi fiziki (Partial Differential Equations of Mathematical Physics), Moscow: Vyssh. Shkola, 1970.

3. Hörmander, L., The Analysis of Linear Differential Operators with Partial Derivatives, Berlin–Heidelberg–New York–Tokyo: Springer, 1983. Translated under the title: Analiz lineinykh differentsial’nykh operatorov s chastnymi proizvodnymi, Moscow: Mir, 1986.

4. Samokhin, A.B., Methods and effective algorithms for solving multidimensional integral equations, Russ. Technol. J., 2022, vol. 10, no. 6, pp. 70–77.

5. Vainikko, G., Multidimensional Weakly Singular Integral Equations, Heidelberg: Springer, 1993.

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