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Digitale Medien

On the number of nodes in self-contained integration formulas of degree two for compact planar regions (1970)

Fritsch, F. N.

Springer

Numerische Mathematik 16 (1970), S. 224-230

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Details

ISSN: 0945-3245

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract Approximate integration formulas of precision two for compact planar regions are studied. We restrict our attention to formulas for which the nodes lie in the region and consider the problem of determining the minimum number of nodes attainable. While Stroud has shown that this minimum number is always at least 3, we find a two-parameter family of symmetric star-shaped regions for which it is equal to 4. That is, the conditions of symmetry and star-shapedness are not sufficient for the existence of such formulas with the minimal number of nodes.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02219774

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