Geodesic
Grid approximation of a~wave equation singularly perturbed with respect to the space variable
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2001), pp. 67-81.

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}
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G. I. Shishkin. Grid approximation of a~wave equation singularly perturbed with respect to the space variable. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2001), pp. 67-81. http://geodesic.mathdoc.fr/item/IVM_2001_1_a6/

[1] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989, 616 pp. | MR

[2] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zhurn. vychisl. matem. i matem. fiz., 9:4 (1969), 841–859 | Zbl

[3] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983, 199 pp. | MR

[4] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992, 233 pp.

[5] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations, Springer, Berlin, 1996, 348 pp. | MR

[6] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerical methods for singular perturbation problems, World Scientific, Singapore, 1996, 166 pp. | MR

[7] Budak B. M., Samarskii A. A., Tikhonov A. N., Sbornik zadach po matematicheskoi fizike, Nauka, M., 1980, 687 pp. | MR | Zbl

[8] Lieberstein H. M., Theory of partial differential equations, Acad. Press, New York, 1972, 283 pp. | MR | Zbl

[9] Ilin A. M., Kalashnikov A. S., Oleinik O. A., “Lineinye uravneniya vtorogo poryadka parabolicheskogo tipa”, UMN, 17:3 (1962), 3–146 | MR

[10] Protter M. H., Weinberger H. F., Maximum principles in differential equations, Springer-Verlag, New York, 1984, 261 pp. | MR | Zbl