TY - JOUR
T1 - A Note on Richardson Extrapolation of Galerkin Methods for Eigenvalue Problems of Fredholm Integral Equations
AU - Qiumei Huang & Yidu Yang
JO - Journal of Computational Mathematics
VL - 4
SP - 598
EP - 612
PY - 2008
DA - 2008/08
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8644.html
KW - Fredholm integral equations, Semi-simple eigenvalues, Asymptotic expansion,
Galerkin method, Richardson extrapolation, Sloan iteration.
AB - <p style="text-align: justify;">In this paper, we introduce a new extrapolation formula by combining Richardson extrapolation and Sloan iteration algorithms. Using this extrapolation formula, we obtain some asymptotic expansions of the Galerkin finite element method for semi-simple eigenvalue problems of Fredholm integral equations of the second kind and improve the accuracy of the numerical approximations of the corresponding eigenvalues. Some numerical experiments are carried out to demonstrate the effectiveness of our new method and to confirm our theoretical results.</p>