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Mathematics of Computation

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Asymptotic behavior of solutions to the finite-difference wave equation


Author: Carl E. Pearson
Journal: Math. Comp. 23 (1969), 711-715
MSC: Primary 65.67
DOI: https://doi.org/10.1090/S0025-5718-1969-0264862-4
MathSciNet review: 0264862
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Abstract: A stable finite-difference scheme for the wave equation may possess features not shared by the underlying partial differential equation. These discrepancies are explored; in particular, an asymptotic estimate for the magnitude of precursor effects is obtained.


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DOI: https://doi.org/10.1090/S0025-5718-1969-0264862-4
Article copyright: © Copyright 1969 American Mathematical Society