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Lele, Sanjiva K.

Compact finite difference schemes with spectral-like resolution. (English) Zbl 0759.65006

J. Comput. Phys. 103, No. 1, 16-42 (1992).
Finite difference schemes providing an improved representation of a range of scales ( spectral-like resolution) in the evaluation of derivatives are presented. The errors are considered from the viewpoint of different scales.
[This may partly compensate for the fact that the consideration of the order of the truncation error is not sufficient for the evaluation of the quality of difference schemes when differential equations are to be solved.] On the other hand, stability is not included in the discussion of applications to fluid mechanics.
Reviewer: D.Braess (Bochum)

Cited in 8 Reviews
Cited in 1397 Documents

MSC:

65D25 Numerical differentiation
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs

Keywords:

numerical differentiation; Finite difference scheme; spectral-like resolution; evaluation of derivatives; order of the truncation error

Software:

symrcm
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\textit{S. K. Lele}, J. Comput. Phys. 103, No. 1, 16--42 (1992; Zbl 0759.65006)
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References:

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