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Weighted polynomial approximation an...

Junghanns, Peter.

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Weighted polynomial approximation and numerical methods for integral equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Weighted polynomial approximation and numerical methods for integral equations/ by Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo.
作者:	Junghanns, Peter.
其他作者:	Mastroianni, Giuseppe.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	x, 658 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Integral equations - Numerical solutions. -
電子資源:	https://doi.org/10.1007/978-3-030-77497-4
ISBN:	9783030774974

Weighted polynomial approximation and numerical methods for integral equations
Junghanns, Peter.

Weighted polynomial approximation and numerical methods for integral equations[electronic resource] /by Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo. - Cham :Springer International Publishing :2021. - x, 658 p. :ill., digital ;24 cm. - Pathways in mathematics,2367-346X. - Pathways in mathematics..

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.

ISBN: 9783030774974

Standard No.: 10.1007/978-3-030-77497-4doiSubjects--Topical Terms:

671950
Integral equations
--Numerical solutions.

LC Class. No.: QA431 / .J85 2021

Dewey Class. No.: 515.45

Weighted polynomial approximation and numerical methods for integral equations
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520 $a 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.
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