Multidimensional weakly singular integral equations
Author(s)
Bibliographic Information
Multidimensional weakly singular integral equations
（Lecture notes in mathematics, 1549）
Springer-Verlag, c1993
- : gw
- : us
Available at / 85 libraries
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Library & Science Information Center, Osaka Prefecture University
: gw413.720400017971,
: gw413.720400017971 -
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/M||LNM||1549RM931015
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: Berlindc20:515/v1952070268551
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.
Table of Contents
Some problems leading to multidimensional weakly singular integral equations.- Preliminaries.- Smoothness of the solution.- Outlines of the discrete convergence theory.- Piecewise constant collocation and related methods.- Composite cubature algorithms.- Higher order methods.- Nonlinear integral equation.
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