Abstract
The wave equation utt = c2uxx is solved by means of a three-time-level difference scheme, symmetric in time and space, of the form It was proved by Renaut that the maximal order of accuracy p of such a scheme is given by p 5 ≤ (s + S). In this paper we show that the requirement of stability does not reduce this maximal order. Our result is proved for S ≤ s by introducing an order star on the Riemann surface of the algebraic function associated with the scheme. 1980 Mathematics Subject Classification (1985 Revision). 65M10.
Original language | English (US) |
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Pages (from-to) | 307-323 |
Number of pages | 17 |
Journal | Quaestiones Mathematicae |
Volume | 15 |
Issue number | 3 |
DOIs | |
State | Published - Jul 1992 |
ASJC Scopus subject areas
- Mathematics (miscellaneous)