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A generalization of the Euler-Maclaurin formula

✍ Scribed by R. M. Trigub


Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
253 KB
Volume
61
Category
Article
ISSN
0001-4346

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A generalized Euler-Maclaurin formula on
✍ Francisco-Javier Sayas πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 205 KB

We prove the existence of an asymptotic expansion of the error for composite integration formulae on triangles. The result is based on simple manipulation of derivatives of a bivariate function with respect to affine maps and on basic properties of the Sobolev spaces.