An adaptive Simpson quadrature algorithm for learning purposes
作者:
D. Katsifli,
D. J. Fyfe,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1983)
卷期:
Volume 14,
issue 3
页码: 341-350
ISSN:0020-739X
年代: 1983
DOI:10.1080/0020739830140310
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A student is taught the advantages of adaptive quadrature over traditional numerical integration, but in practice, he cannot verify these for himself because of the complexity involved in programming such algorithms. In an attempt to overcome some of the programming difficulties, various books, see [1, 2], compromise by recommending a restricted number of nested subintervals. However, while such a compromise alleviates the storage problem, it may, in the case of ‘badly‐behaved’ integrands, prove to be too restrictive and thus destroy the concept of adaptive quadrature. This paper introduces an adaptive quadrature algorithm that demands neither storing strategies, nor a preset limit on the number of subdivisions. The algorithm is simple enough to be manipulated by undergraduates. A FORTRAN listing of the algorithm is included in this paper.
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