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- catalog abstract "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.".
- catalog contributor b5009130.
- catalog created "c1993.".
- catalog date "1993".
- catalog date "c1993.".
- catalog dateCopyrighted "c1993.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "xi, 158 p. :".
- catalog hasFormat "Multidimensional weakly singular integral equations.".
- catalog identifier "0387568786 (New York : acid-free)".
- catalog identifier "3540568786 (Berlin : acid-free) :".
- catalog isFormatOf "Multidimensional weakly singular integral equations.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1549.".
- catalog isPartOf "Lecture notes in mathematics ; 1549".
- catalog issued "1993".
- catalog issued "c1993.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Multidimensional weakly singular integral equations.".
- catalog subject "510 s 515/.45 20".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Integral equations Asymptotic theory.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "QA3 .L28 no. 1549 QA431".
- catalog title "Multidimensional weakly singular integral equations / Gennadi Vainikko.".
- catalog type "text".