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Titlebook: Quadpack; A Subroutine Package Robert Piessens,Elise Doncker-Kapenga,David K. Kah Book 1983 Springer-Verlag Berlin Heidelberg 1983 Numerica

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樓主
發(fā)表于 2025-3-21 16:46:05 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Quadpack
副標(biāo)題A Subroutine Package
編輯Robert Piessens,Elise Doncker-Kapenga,David K. Kah
視頻videohttp://file.papertrans.cn/781/780042/780042.mp4
叢書名稱Springer Series in Computational Mathematics
圖書封面Titlebook: Quadpack; A Subroutine Package Robert Piessens,Elise Doncker-Kapenga,David K. Kah Book 1983 Springer-Verlag Berlin Heidelberg 1983 Numerica
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
關(guān)鍵詞Numerical integration; Numerische Integration; QUADPACK; algorithms; numerical quadrature
版次1
doihttps://doi.org/10.1007/978-3-642-61786-7
isbn_softcover978-3-540-12553-2
isbn_ebook978-3-642-61786-7Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 1983
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:54:28 | 只看該作者
0179-3632 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 ma
板凳
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Introduction, 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.
地板
發(fā)表于 2025-3-22 05:29:52 | 只看該作者
Introduction,o 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 practical interest it has also lead to the development of mathematics of much beauty and insight. Many portions
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Guidelines for the Use of QUADPACK,Before providing guidelines for the use of the automatic integration package in a given situation, we shall first eliminate some occasions where the application of an automatic quadrature procedure is too expensive or wasteful or even impossible.
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Implementation Notes and Routine Listings,All the programs of QUADPACK are written in Standard FORTRAN and have been checked with the PFORT verifier of Bell Labs.
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