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Zbl 1063.65113
Tselios, Kostas; Simos, T.E.
Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics. (English)
[J] J. Comput. Appl. Math. 175, No. 1, 173-181 (2005). ISSN 0377-0427

Summary: A new Runge-Kutta method with minimal dispersion and dissipation error is developed. The Chebyshev pseudospectral method is utilized using spatial discretization and a new fourth-order six-stage Runge-Kutta scheme is used for time advancing. The proposed scheme is more efficient than the existing ones for acoustic computations.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35L05 Wave equation
76Q05 Density waves (fluid mechanics)
76M22 Spectral methods
65L06 Multistep, Runge-Kutta, and extrapolation methods
65M15 Error bounds (IVP of PDE)

Keywords: Dissipation; Dispersion; Computational acoustics; Wave equation; Error bound; Numerical examples; Chebyshev pseudospectral method

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Zentralblatt MATH Berlin [Germany]