Weighted Polynomial Approximation and Numerical Methods for Integral Equations
أغسطس 2021 · Springer Nature
كتاب إلكتروني
658
صفحة
reportلم يتم التحقّق من التقييمات والمراجعات. مزيد من المعلومات
معلومات عن هذا الكتاب الإلكتروني
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.
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.
نبذة عن المؤلف
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).
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).
تقييم هذا الكتاب الإلكتروني
أخبرنا ما هو رأيك.
معلومات القراءة
الهواتف الذكية والأجهزة اللوحية
ينبغي تثبيت تطبيق كتب Google Play لنظام التشغيل Android وiPad/iPhone. يعمل هذا التطبيق على إجراء مزامنة تلقائية مع حسابك ويتيح لك القراءة أثناء الاتصال بالإنترنت أو بلا اتصال بالإنترنت أينما كنت.
أجهزة الكمبيوتر المحمول وأجهزة الكمبيوتر
يمكنك الاستماع إلى الكتب المسموعة التي تم شراؤها على Google Play باستخدام متصفح الويب على جهاز الكمبيوتر.
أجهزة القراءة الإلكترونية والأجهزة الأخرى
للقراءة على أجهزة الحبر الإلكتروني، مثل أجهزة القارئ الإلكتروني Kobo، عليك تنزيل ملف ونقله إلى جهازك. يُرجى اتّباع التعليمات المفصّلة في مركز المساعدة لتتمكّن من نقل الملفات إلى أجهزة القارئ الإلكتروني المتوافقة.
