Peter Junghanns,Giuseppe Mastroianni,Incoronata Notarangelo
Weighted Polynomial Approximation and Numerical Methods for Integral Equations
Weighted Polynomial Approximation and Numerical Methods for Integral Equations
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Excellent- More about Weighted Polynomial Approximation and Numerical Methods for Integral Equations
The book combines two topics: approximation of functions and integrals by interpolation and quadrature and numerical analysis of operator equations. It focuses on interpolation and quadrature processes for singular functions, Fredholm integral equations, and Cauchy singular integral equations. It appeals to graduate students and researchers interested in these areas.
Format: Hardback
Length: 658 pages
Publication date: 12 August 2021
Publisher: Springer Nature Switzerland AG
The book is a comprehensive exploration of two interconnected topics: the theory of approximation of functions and integrals through interpolation and quadrature, and the numerical analysis of operator equations, particularly integral and related equations. It delves into the intricate processes of interpolation and quadrature for functions defined on bounded and unbounded intervals, accounting for singularities at the endpoints of the interval. Additionally, it discusses numerical methods for solving 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 offers a rich blend of classic and cutting-edge results, making it an invaluable resource for graduate students and researchers seeking to gain insights into the approximation of functions and the numerical solution of operator equations, particularly integral equations. Its comprehensive coverage and rigorous approach make it suitable for advanced studies in mathematics and engineering.
In summary, the book is a must-read for anyone interested in advancing their knowledge in the fields of approximation of functions and numerical analysis of operator equations, particularly integral equations. Its comprehensive nature, rigorous analysis, and up-to-date results make it an invaluable resource for scholars and practitioners alike.
Weight: 1160g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030774967
Edition number: 1st ed. 2021
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