http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Bijaya Laxmi Panigrahi,Gnaneshwar Nelakanti 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.5
In this paper, we consider approximation of eigenelements of a twodimensional compact integral operator with a smooth kernel bydiscrete collocation and iterated discrete collocation methods. Bychoosing numerical quadrature appropriately, we obtain convergencerates for gap between the spectral subspaces, and also we obtainsuperconvergence rates for eigenvalues and iterated eigenvectors. We then apply Richardsonextrapolation to obtain further improved error bounds for theeigenvalues. Numerical examples are presentedto illustrate theoretical estimates.
Panigrahi, Bijaya Laxmi,Nelakanti, Gnaneshwar The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.5
In this paper, we consider approximation of eigenelements of a two dimensional compact integral operator with a smooth kernel by discrete collocation and iterated discrete collocation methods. By choosing numerical quadrature appropriately, we obtain convergence rates for gap between the spectral subspaces, and also we obtain superconvergence rates for eigenvalues and iterated eigenvectors. We then apply Richardson extrapolation to obtain further improved error bounds for the eigenvalues. Numerical examples are presented to illustrate theoretical estimates.