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On the construction of arbitrary order schemes for the many dimensional wave equation

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Abstract

We show that it is possible to construct arbitrary order stable schemes for the homogeneous and heterogeneous wave equation in any dimension. The construction is elementary and uses formal power series techniques. We shall also calculate exact stability limits in various cases, and apparently this limit depends only on the dimension of the space.

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  1. Institute of Mathematics, Helsinki University of Technology, 02150, Espoo, Finland

    Jukka Tuomela

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  1. Jukka Tuomela
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Tuomela, J. On the construction of arbitrary order schemes for the many dimensional wave equation. Bit Numer Math 36, 158–165 (1996). https://doi.org/10.1007/BF01740552

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  • DOI: https://doi.org/10.1007/BF01740552

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