株式会社極東書店トップ ＞ 商品一覧 ＞ Weighted Polynomial Approximation and Numerical Methods for Integral Equations. 1st ed. 2021.
商品詳細
Weighted Polynomial Approximation and Numerical Methods for Integral Equations. 1st ed. 2021.
・ISBN 978-3-030-77499-8 paper EUR 159.99
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| 著者・編者 | Junghanns, Peter / Mastroianni, Giuseppe / Notarangelo, Incoronata, |
|---|---|
| シリーズ | Pathways in Mathematics |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2022 |
| ページ数 | 658 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7030＞ |
解説
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.
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.