Geodesic
Generation of discrete non-reflecting boundary conditions
Matematičeskoe modelirovanie, Tome 19 (2007) no. 8, pp. 75-82.

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O. V. Podgornova. Generation of discrete non-reflecting boundary conditions. Matematičeskoe modelirovanie, Tome 19 (2007) no. 8, pp. 75-82. http://geodesic.mathdoc.fr/item/MM_2007_19_8_a8/

[1] I. L. Sofronov, O. V. Podgornova, “A spectral approach for generating non-local boundary conditions for external wave problems in anisotropic media”, Journal of Scientific Computing, 27:3 (2006), 419–430 | DOI | MR | Zbl

[2] I. L. Sofronov, “Usloviya polnoi prozrachnosti na sfere dlya trekhmernogo volnovogo uravneniya”, Doklady RAN, 326:6 (1992), 453–457

[3] M. J. Grote, J. B. Keller, “Exact nonreflecting boundary conditions for the time dependent wave equation”, SIAM J. Appl.Math., 55 (1995), 280–297 | DOI | MR | Zbl

[4] I. L. Sofronov, “Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems”, Euro. J. Appl. Math., 9:6 (1998), 561–588 | DOI | MR | Zbl

[5] I. L. Sofronov, “Non-reflecting inflow and outflow in wind tunnel for transonic time-accurate simulation”, Math. Anal. Appl., 221 (1998), 92–115 | DOI | MR | Zbl

[6] B. Alpert, L. Greengard, T. Hagstrom, “Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation”, Journal of Computation Physics, 180 (2002), 270–296 | DOI | MR | Zbl

[7] A. Arnold, M. Ehrhardt, I. Sofronov, “Discrete transparent boundary conditions for the Schroedinger equation: Fast calculation, approximation, and stability”, Comm. Math. Sci., 1 (2003), 501–556 | MR | Zbl

[8] V. S. Ryaben'kii, S. V. Tsynkov, V. I. Turchaninov, “Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation”, J. Comput. Phys., 174 (2001), 712–758 | DOI | MR

[9] V. S. Ryabenkii, Vvedenie v vychislitelnuyu matematiku, 1994