Convergence rates of parabolic difference schemes for non-smooth data

Authors:
Vidar Thomée and Lars Wahlbin

Journal:
Math. Comp. **28** (1974), 1-13

MSC:
Primary 65M10

DOI:
https://doi.org/10.1090/S0025-5718-1974-0341889-7

MathSciNet review:
0341889

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Abstract: Consider the approximate solution of the initial-value problem for a parabolic system by means of a parabolic finite difference scheme of accuracy . The main result of the present paper is essentially that for positive time and *v* in with , the error in the maximum norm is for small mesh-widths *h*.

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DOI:
https://doi.org/10.1090/S0025-5718-1974-0341889-7

Article copyright:
© Copyright 1974
American Mathematical Society