An error analysis for numerical multiple integration. III

Authors:
Robert E. Barnhill and Gregory M. Nielson

Journal:
Math. Comp. **24** (1970), 301-314

MSC:
Primary 65.55

DOI:
https://doi.org/10.1090/S0025-5718-1970-0275665-7

MathSciNet review:
0275665

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Abstract | References | Similar Articles | Additional Information

Abstract: Asymptotic results of two types are given for minimum norm cubatures, defined on a certain Hubert space of analytic functions. Cubatures with a high degree of precision are realized as the limits of minimum norm cubatures, and an algebraic approach for the determination of efficient rules is derived. Numerical methods and examples are also included.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1970-0275665-7

Keywords:
Cubature,
numerical integration,
approximate integration,
error bounds

Article copyright:
© Copyright 1970
American Mathematical Society