| 书目名称 | Theory and Applications of Gaussian Quadrature Methods |
| 编辑 | Narayan Kovvali |
| 视频video | |
| 丛书名称 | Synthesis Lectures on Algorithms and Software in Engineering |
| 图书封面 |  |
| 描述 | Gaussian quadrature is a powerful technique for numerical integration that falls under the broad category of spectral methods. The purpose of this work is to provide an introduction to the theory and practice of Gaussian quadrature. We study the approximation theory of trigonometric and orthogonal polynomials and related functions and examine the analytical framework of Gaussian quadrature. We discuss Gaussian quadrature for bandlimited functions, a topic inspired by some recent developments in the analysis of prolate spheroidal wave functions. Algorithms for the computation of the quadrature nodes and weights are described. Several applications of Gaussian quadrature are given, ranging from the evaluation of special functions to pseudospectral methods for solving differential equations. Software realization of select algorithms is provided. Table of Contents: Introduction / Approximating with Polynomials and Related Functions / Gaussian Quadrature / Applications / Links to Mathematical Software |
| 出版日期 | Book 2011 |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-01517-5 |
| isbn_softcover | 978-3-031-00389-9 |
| isbn_ebook | 978-3-031-01517-5Series ISSN 1938-1727 Series E-ISSN 1938-1735 |
| issn_series | 1938-1727 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:37:05
