Fast Multiscale Galerkin Algorithms for the Eigenvalue Problem of Compact Integral Operator with Smooth Kernel

Jian Chen, Taishan Zeng · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2011

A fast multiscale Galerkin method for solving eigenvalue problem of compact integral operator with symmetrical and smooth kernel is developed.Through corresponding truncation strategy,it is proved that the order of convergence and the computational complexity are both almost optimal.

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