Multidimensional Weakly Singular Integral Equations (Lecture Notes in Mathematics, 1549)

Vainikko, Gennadi

ISBN 10: 3540568786 / ISBN 13: 9783540568780

Editore: Springer, 1993

In. Codice articolo ria9783540568780_new

Riassunto:

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.

Contenuti: 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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Titolo: Multidimensional Weakly Singular Integral ...
Casa editrice: Springer
Data di pubblicazione: 1993
Legatura: Brossura
Condizione: New