| 书目名称 | Quadpack | | 副标题 | A Subroutine Package | | 编辑 | Robert Piessens,Elise Doncker-Kapenga,David K. Kah | | 视频video | | | 丛书名称 | Springer Series in Computational Mathematics | | 图书封面 |  | | 描述 | 1. 1. Overview of Numerical Quadrature The numerical evaluation of integrals is one of the oldest problems in mathematics. One can trace its roots back at least to Archimedes. The task is to compute the value of the definite integral of a given function. This is the area under a curve in one dimension or a volume in several dimensions. In addition to being a problem of great practi cal interest it has also lead to the development of mathematics of much beauty and insight. Many portions of approximation theory are directly applicable to integration and results from areas as diverse as orthogo nal polynomials, Fourier series and number theory have had important implications for the evaluation of integrals. We denote the problem addressed here as numerical integration or numerical quadrature. Over the years analysts and engineers have contributed to a growing body of theorems, algorithms and lately, programs, for the solution of this specific problem. Much effort has been devoted to techniques for the analytic evalua tion of integrals. However, most routine integrals in practical scien tific work are incapable of being evaluated in closed form. Even if an expression can be derived | | 出版日期 | Book 1983 | | 关键词 | Numerical integration; Numerische Integration; QUADPACK; algorithms; numerical quadrature | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-61786-7 | | isbn_softcover | 978-3-540-12553-2 | | isbn_ebook | 978-3-642-61786-7Series ISSN 0179-3632 Series E-ISSN 2198-3712 | | issn_series | 0179-3632 | | copyright | Springer-Verlag Berlin Heidelberg 1983 |
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发表于 2025-3-21 16:46:05
