Weighted Polynomial Approximation and Numerical Methods for Integral Equations: Pathways in Mathematics
Autor Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangeloen Limba Engleză Paperback – 13 aug 2022
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.
| Toate formatele și edițiile | Preț | Express |
|---|---|---|
| Paperback (1) | 999.47 lei 6-8 săpt. | |
| Springer International Publishing – 13 aug 2022 | 999.47 lei 6-8 săpt. | |
| Hardback (1) | 1005.70 lei 6-8 săpt. | |
| Springer International Publishing – 12 aug 2021 | 1005.70 lei 6-8 săpt. |
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Specificații
ISBN-13: 9783030774998
ISBN-10: 3030774996
Ilustrații: X, 658 p. 5 illus., 3 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.93 kg
Ediția:1st ed. 2021
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Pathways in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3030774996
Ilustrații: X, 658 p. 5 illus., 3 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.93 kg
Ediția:1st ed. 2021
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Pathways in Mathematics
Locul publicării:Cham, Switzerland
Cuprins
- 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.
Notă biografică
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).
Textul de pe ultima copertă
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.
Caracteristici
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