Asymptotic behavior of solutions to the finite-difference wave equation

Pearson, Carl E.

doi:10.1090/S0025-5718-1969-0264862-4

Asymptotic behavior of solutions to the finite-difference wave equation
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by Carl E. Pearson PDF

Math. Comp. 23 (1969), 711-715 Request permission

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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