Stable inversion of the Abel integral equation of the first kind by means of orthogonal polynomials
暂无分享,去创建一个
[1] Peter Hall,et al. A new method of solving noisy Abel type equations , 2001 .
[2] Robert Piessens,et al. Computing integral transforms and solving integral equations using Chebyshev polynomial approximations , 2000 .
[3] Yong Huang,et al. Approximate solution of Abel integral equation , 2008, Comput. Math. Appl..
[4] Robert L. Paige,et al. Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs , 2003 .
[5] H. Egger. Regularization of inverse problems with large noise , 2008 .
[6] Yang Wang,et al. A numerical differentiation method and its application to reconstruction of discontinuity , 2002 .
[7] Herbert Egger,et al. Y-Scale Regularization , 2007, SIAM J. Numer. Anal..
[8] Gerald N. Minerbo,et al. Inversion of Abel’s Integral Equation by Means of Orthogonal Polynomials , 1969 .
[9] E. Kosarev. The numerical solution of Abel's integral equation , 1973 .
[10] Rudolf Gorenflo,et al. Operator theoretic treatment of linear Abel integral equations of first kind , 1999 .
[11] Takemitsu Hasegawa,et al. Quadrature rule for Abel's equations : uniformly approximating fractional derivatives uniformly approximating fractional derivatives (High Performance Algorithms for Computational Science and Their Applications) , 2008 .