Convergence Acceleration Algorithm via an Equation Related to the Lattice Boussinesq Equation

Authors:
Yi He;Xing-Biao Hu;Jian-Qing Sun;Ernst Joachim Weniger
Affiliations:
heyi@lsec.cc.ac.cn and sunjq@lsec.cc.ac.cn;hxb@lsec.cc.ac.cn;-;joachim.weniger@chemie.uni-regensburg.de
Venue:
SIAM Journal on Scientific Computing
Year:
2011

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Abstract

The molecule solution of an equation related to the lattice Boussinesq equation is derived with the help of determinantal identities. It is shown that this equation can for certain sequences be used as a numerical convergence acceleration algorithm. Numerical examples with applications of this algorithm are presented.