書目名稱 | Multidimensional Weakly Singular Integral Equations |
編輯 | Gennadi Vainikko |
視頻video | http://file.papertrans.cn/641/640321/640321.mp4 |
叢書名稱 | Lecture Notes in Mathematics |
圖書封面 |  |
描述 | 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. |
出版日期 | Book 1993 |
關(guān)鍵詞 | Derivative; Integral Equations; Integral equation; Numerical Solution; Smooth function; cubature; numerica |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0088979 |
isbn_softcover | 978-3-540-56878-0 |
isbn_ebook | 978-3-540-47773-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1993 |