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Weighted polynomial approximation an...

Junghanns, Peter.

Weighted polynomial approximation and numerical methods for integral equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Weighted polynomial approximation and numerical methods for integral equationsby Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo.
Author:	Junghanns, Peter.
other author:	Mastroianni, Giuseppe.
Published:	Cham :Springer International Publishing :2021.
Description:	x, 658 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Integral equationsNumerical solutions.
Online resource:	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:

209316
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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245 1 0 $a Weighted polynomial approximation and numerical methods for integral equations $h [electronic resource] / $c by Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo.
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300 $a x, 658 p. : $b ill., digital ; $c 24 cm.
490 1 $a Pathways in mathematics, $x 2367-346X
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.
650 0 $a Integral equations $x Numerical solutions. $3 209316
650 0 $a Approximation theory. $3 185327
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700 1 $a Mastroianni, Giuseppe. $3 509384
700 1 $a Notarangelo, Incoronata. $3 905471
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