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Cesàro summation of series in boundary-value problems

✍ Scribed by Charles M. Evans

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
412 KB
Volume
289
Category
Article
ISSN
0016-0032

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✦ Synopsis

It is shown that the Cesbro method of summing a series can be used to sum the non-convergent series resulting from t?Le differentiation of a Pourier series representation of a function with a discontinuity.

This procedure is contrasted with Lanczos method of a-factors.

The method is then applied in the solution of a standard boundary-value problem in electrostatics.

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