An adaptive multidimensional quadrature procedure

✍ Scribed by A. Genz

• Book ID: 103046125
• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 374 KB
• Volume: 4
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(72)90024-0

✦ Synopsis

Current techniques for the calculation of multidimensional integrals are reviewed and a new adaptive technique is described which can be used in conjunction with extrapolation methods. When the new technique is used with the c-algorithm (a special sequence of Pads approximants) the combined procedure is shown to be particularly well suited for calculating integrals whose integrands have boundary singularities, such as the Fe nman variable integrals in quantum field theory.

* Paper presented at the First European Conference on Corn-. .

s-dimensional quadrature rule is applied to each subputational Physics, Geneva, 10-14 April 1972.

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