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portada multidimensional weakly singular integral equations
multidimensional weakly singular integral equationsmultidimensional weakly singular integral equations
Type
Physical Book
Publisher
Author
Language
English
Pages
159
ISBN
3540568786
ISBN13
9783540568780
Categories

multidimensional weakly singular integral equations

Vainikko (Author) · Springer · Physical Book

multidimensional weakly singular integral equations - vainikko

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Synopsis "multidimensional weakly singular integral equations"

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.

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