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Multidimensional Weakly Singular Integral Equations

Multidimensional Weakly Singular Integral Equations

Gennadi Vainikko

48,33 €
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Editorial:
Springer Nature B.V.
Año de edición:
1993
Materia
Cálculo y análisis matemático
ISBN:
9783540568780
48,33 €
IVA incluido
Disponible

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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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