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Accuracy bounds for semidiscretizations of hyperbolic problems


Authors: Rolf Jeltsch and Klaus-Günther Strack
Journal: Math. Comp. 45 (1985), 365-376
MSC: Primary 65M20
DOI: https://doi.org/10.1090/S0025-5718-1985-0804929-1
MathSciNet review: 804929
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Abstract: Bounds are given for the error constant of stable finite-difference methods for first-order hyperbolic equations in one space dimension, which use r downwind and s upwind points in the discretization of the space derivatives, and which are of optimal order $ p = \min (r + s,2r + 2,2s)$ . It is known that this order can be obtained by interpolatory methods. Examples show, however, that their error constants can be improved.


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DOI: https://doi.org/10.1090/S0025-5718-1985-0804929-1
Article copyright: © Copyright 1985 American Mathematical Society