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Fourth order schemes for the heterogeneous acoustics equation. (English) Zbl 0733.76053


MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76Q05 Hydro- and aero-acoustics
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References:

[1] Bamberger, A.; Chavent, G.; Lailly, P., Etude de schémas numériques pour les équations de l’élastodynamique linéaire, Rapport INRIA No. RR 41 (1980)
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[10] Bayliss, A.; Jordan, K. E.; Lemesurier, B.; Turkel, E., A fourth order accurate finite difference scheme for the computation of elastic waves, Bull. Seismol. Soc. Amer., 76, 4, 1115-1132 (1986)
[11] Cohen, G., A class of schemes, fourth order in space and time, for the 2D wave equation, (Proc. 6th IMACS Internat. Symp. on Computer Methods for Partial Differential Equations. Proc. 6th IMACS Internat. Symp. on Computer Methods for Partial Differential Equations, Bethlehem, PA, U.S.A. (June 1987)), 23-27
[12] Vichnevetsky, R.; Bowles, J. B., Fourier analysis of numerical approximations of hyperbolic equations, (SIAM Stud. Appl. Math. (1982), SIAM: SIAM Philadelphia) · Zbl 0495.65041
[13] Cohen, G.; Joly, P., Fourth order schemes for the acoustic wave equation in heterogeneous media, Rapport INRIA (1989), to appear.
[14] Cohen, G., Schemes, fourth-order in time and space, for 2-D elastodynamics equation, (Proc. of the 58th SEG Annual International Meeting. Proc. of the 58th SEG Annual International Meeting, Anaheim, CA (31 October-4 November 1988))
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