Overview
- Combination of interpolation processes with numerical analysis of operator equations and applications
- Comprehensive review on weighted polynomial approximation on bounded and unbounded intervals
- From Fredholm integral equations to strongly singular linear and nonlinear integral equations
Part of the book series: Pathways in Mathematics (PATHMATH)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
Giuseppe Mastroianni is emeritus professor at the University of Basilicata (Italy) since 2013, where he had been full professor of Numerical Analysis since 1987. In 1971 he graduated in Mathematics at the University of Naples "Federico II", where he began his academic career. He is author of numerous papers on polynomial approximation, positive operators, mechanical quadrature and numerical treatment of integral equations as well as of the monographs "Interpolation processes. Basic theory and applications" (with G.V. Milovanovic) and "Elementi di teoria dell'approssimazione polinomiale" (with M.C. De Bonis and I. Notarangelo).
Incoronata Notarangelo is assistant professor of Numerical Analysis at the University of Turin (Italy) since 2019. In 2010 she received a PhD in Mathematics from the University of Basilicata (Italy), in cooperation with the University of Szeged (Hungary). She is author of papers on polynomial approximation, quadrature rules and numerical methods for integral equations as well as of the monograph "Elementi di teoria dell'approssimazione polinomiale" (with M.C. De Bonis and G. Mastroianni).
Bibliographic Information
Book Title: Weighted Polynomial Approximation and Numerical Methods for Integral Equations
Authors: Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo
Series Title: Pathways in Mathematics
DOI: https://doi.org/10.1007/978-3-030-77497-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-77496-7Published: 12 August 2021
Softcover ISBN: 978-3-030-77499-8Published: 13 August 2022
eBook ISBN: 978-3-030-77497-4Published: 10 August 2021
Series ISSN: 2367-3451
Series E-ISSN: 2367-346X
Edition Number: 1
Number of Pages: X, 658
Number of Illustrations: 2 b/w illustrations, 3 illustrations in colour
Topics: Integral Equations