Weighted Polynomial Approximation And Numerical Methods For Integral Equations de Giuseppe Mastroianni Format Broché

Weighted Polynomial Approximation and Numerical Methods for Integral Equations - Giuseppe Mastroianni

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Présentation Weighted Polynomial Approximation And Numerical Methods For Integral Equations de Giuseppe Mastroianni Format Broché
- Livre

Livre - Giuseppe Mastroianni - 01/08/2022 - Broché - Langue : Anglais

Auteur(s) : Giuseppe Mastroianni - Incoronata Notarangelo - Peter Junghanns

Editeur : Springer International Publishing Ag

Langue : Anglais

Parution : 01/08/2022

Format : Moyen, de 350g à 1kg

Nombre de pages : 668

Expédition : 996

Dimensions : 23.5 x 15.5 x 3.6

ISBN : 9783030774998

Résumé :
- Introduction. - Basics from Linear and Nonlinear Functional Analysis. - Weighted Polynomial Approximation and Quadrature Rules on (?1, 1). - Weighted Polynomial Approximation and Quadrature Rules on Unbounded Intervals. - Mapping Properties of Some Classes of Integral Operators. - Numerical Methods for Fredholm Integral Equations. - Collocation and Collocation-Quadrature Methods for Strongly Singular Integral Equations. - Applications. - Hints and Answers to the Exercises. - Equalities and Inequalities....

Biographie:

Peter Junghanns is Professor Emeritus at the Mathematics Department of the Technical University of Chemnitz, Germany, where he got his habilitation in 1984. His field of specialization includes analysis and numerical methods for operator equations, in particular integral equations.

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).

...

Sommaire:

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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Weighted Polynomial Approximation and Numerical Methods for Integral Equations - Giuseppe Mastroianni

Avis sur Weighted Polynomial Approximation And Numerical Methods For Integral Equations de Giuseppe Mastroianni Format Broché - Livre

Présentation Weighted Polynomial Approximation And Numerical Methods For Integral Equations de Giuseppe Mastroianni Format Broché - Livre

Présentation Weighted Polynomial Approximation And Numerical Methods For Integral Equations de Giuseppe Mastroianni Format Broché
- Livre