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作者 Vaĭnikko, G
書名 Multidimensional weakly singular integral equations [electronic resource] / Gennadi Vainikko
出版項 Berlin ; New York : Springer-Verlag, c1993
國際標準書號 9783540477730 (electronic bk.)
354047773X (electronic bk.)
book jacket
說明 1 online resource (xi, 158 p.) : ill
系列 Lecture notes in mathematics, 0075-8434 ; 1549
Lecture notes in mathematics (Springer-Verlag) ; 1549
附註 Includes bibliographical references and index
Description based on print version record
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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鏈接 Print version: Vaĭnikko, G. Multidimensional weakly singular integral equations. Berlin ; New York : Springer-Verlag, c1993 3540568786 (DLC) 93014009 (OCoLC)28181906
主題 Integral equations -- Asymptotic theory
Equation intégrale faiblement singulière
Transfert radiatif
Equation intégrale Peierls
Approximation solution
Convergence discrète
Analyse numérique
Algorithmee cubature
Interpolation
Collocation
Equation intégrale non linéaire
Équations intégrales -- Théorie asymptotique
Integraalvergelijkingen. gtt
Équations intégrales -- Théorie asymptotique. ram
Integralgleichung. swd
Schwache Singularität. swd
Diskretisierung. swd
Asymptotische Methode. swd
Integral equations -- Asymptotic theory. fast (OCoLC)fst00975508
Electronic books
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