Abstract
We construct in two ways stable schemes of arbitrarily high order for one dimensional wave equation. In both cases the stability limit is independent of the order. The other construction yields also automatically stable schemes for the heterogeneous case. In this case the estimated stability limit decreases slightly with order.
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Tuomela, J. A note on high order schemes for the one dimensional wave equation. Bit Numer Math 35, 394–405 (1995). https://doi.org/10.1007/BF01732612
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DOI: https://doi.org/10.1007/BF01732612