书目名称 | Weighted Polynomial Approximation and Numerical Methods for Integral Equations |
编辑 | Peter Junghanns,Giuseppe Mastroianni,Incoronata No |
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概述 | Combination of interpolation processes with numerical analysis of operator equations and applications.Comprehensive review on weighted polynomial approximation on bounded and unbounded intervals.From |
丛书名称 | Pathways in Mathematics |
图书封面 |  |
描述 | The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations..The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations..The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.. |
出版日期 | Book 2021 |
关键词 | Collocation Method; Collocation-quadrature Method; Fredholm Integral Equations; Gaussian Rules; Hyper Si |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-77497-4 |
isbn_softcover | 978-3-030-77499-8 |
isbn_ebook | 978-3-030-77497-4Series ISSN 2367-3451 Series E-ISSN 2367-346X |
issn_series | 2367-3451 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |