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Titlebook: Weighted Polynomial Approximation and Numerical Methods for Integral Equations; Peter Junghanns,Giuseppe Mastroianni,Incoronata No Book 20

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發(fā)表于 2025-3-21 19:30:31 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Weighted Polynomial Approximation and Numerical Methods for Integral Equations
編輯Peter Junghanns,Giuseppe Mastroianni,Incoronata No
視頻videohttp://file.papertrans.cn/1022/1021975/1021975.mp4
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
叢書(shū)名稱(chēng)Pathways in Mathematics
圖書(shū)封面Titlebook: Weighted Polynomial Approximation and Numerical Methods for Integral Equations; Peter Junghanns,Giuseppe Mastroianni,Incoronata No Book 20
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
關(guān)鍵詞Collocation Method; Collocation-quadrature Method; Fredholm Integral Equations; Gaussian Rules; Hyper Si
版次1
doihttps://doi.org/10.1007/978-3-030-77497-4
isbn_softcover978-3-030-77499-8
isbn_ebook978-3-030-77497-4Series ISSN 2367-3451 Series E-ISSN 2367-346X
issn_series 2367-3451
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Basics from Linear and Nonlinear Functional Analysis,erent kinds of function spaces such as weighted ..-spaces and weighted spaces of continuous functions as well as scales of subspaces of them, which are important for our investigations. We also present some concepts concerned with the stability and convergence of operator sequences or, in other word
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Introduction, real line, with possible singularities (like unboundedness or nonsmoothness) at the endpoints of these intervals (cf. Chaps. . and .). In particular, we focus on situations, where such functions are (unknown) solutions of different kinds of integral equations, namely Fredholm integral equations of
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Basics from Linear and Nonlinear Functional Analysis,erent kinds of function spaces such as weighted ..-spaces and weighted spaces of continuous functions as well as scales of subspaces of them, which are important for our investigations. We also present some concepts concerned with the stability and convergence of operator sequences or, in other word
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Numerical Methods for Fredholm Integral Equations,str?m method is a very famous method and based on an appropriate quadrature rule applied to the integral and on considering the integral equation in the space of (bounded) continuous functions on .. Such quadrature rules can be of different type.
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