Geodesic
Optimal grids for solution to the wave equation with variable coefficients
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 3, pp. 219-229.

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This paper represents investigation of the method of constructing optimal grids. Extension of this method to the wave equation with variable coefficients and estimation of numerical solution obtained on optimal grids are also considered. The experiments presented illustrate a decrease of the time required for calculations. 
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V. V. Lisitsa. Optimal grids for solution to the wave equation with variable coefficients. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 3, pp. 219-229. http://geodesic.mathdoc.fr/item/SJVM_2005_8_3_a3/

[1] Beiker Dzh., Greivis-Morris P., Approksimatsii Pade, Mir, M., 1986

[2] Godunov S. K., Sovremennye aspekty lineinoi algebry, Nauchnaya kniga, Novosibirsk, 1997

[3] Godunov S. K., Antonov A. G., Kirilyuk O. P., Kostin V. I., Garantirovannaya tochnost resheniya sistem lineinykh uravnenii v evklidovykh prostranstvakh, Nauka, Novosibirsk, 1988 | MR

[4] Naimark M. A., Lineinye differentsialnye operatory, Nauka, M., 1969 | MR

[5] Parlett B., Simmetrichnaya problema sobstvennykh znachenii, Mir, M., 1983 | MR | Zbl

[6] Pashkvoskii S., Vychislitelnye primeneniya mnogochlenov i ryadov Chebysheva, Nauka, M., 1983 | MR

[7] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR

[8] Asvadurov S., Druskin V., Knizhnerman L., “Application of the difference Gaussian rules to solution of hyperbolic problems”, J. Comp. Phys., 158 (2000), 116–135 | DOI | MR | Zbl

[9] Asvadurov S., Druskin V., Knizhnerman L., “Application of the difference Gaussian rules to solution of hyperbolic problems. II: Global Expansion”, J. Comp. Phys., 175 (2002), 24–49 | DOI | MR | Zbl

[10] Druskin V., Knizhnerman L., “Gaussian spectral rules for the tree-point second differrences. I: A two point positive definite problem in a semi-infinite domain”, SIAM J. Numerical Analysis, 37:2 (2000), 403–422 | DOI | MR | Zbl

[11] Booley D., Golub G. H., “A survey of matrix inverse eigenvalue problems”, Inverse Problems, 3 (1987), 595–622 | DOI | MR