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Asymptotic theory of the global error and some techniques of error estimation (1984)

Hanson, P. M. ; Walsh, J. E.

Springer

Numerische Mathematik 45 (1984), S. 51-74

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ISSN: 0945-3245

Keywords: MR65 M15 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary The error of the approximate solution obtained by discretising a functional equation can be shown under certain conditions to possess an asymptotic expansion in terms of some parameter which is usually a representative step-length. We consider the case of two-parameter expansions, which is particularly relevant to parabolic equations. We derive results for the existence of the expansion and for the application of the classical difference correction and of defect correction. The theory is illustrated by the discussion of a simple parabolic problem

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01379661

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