Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation

2); Beijing; Chinese Academy of Sciences; Ernst Joachim Weniger (3) ((1) LSEC; Federal Republic of Germany.); Institute of Computational Mathematics; Jian-Qing Sun (1; PR China. (2) Graduate School of the Chinese Academy of Sciences; PR China. (3) Institut f\"ur Physikalische und Theoretische Chemie; Scientific Engineering Computing

arxiv: 1105.3022 · v1 · pith:OMKAVK5Onew · submitted 2011-05-16 · 🧮 math.NA · math-ph· math.MP

Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation

Yi He (1 , 2) , Xing-Biao Hu (1) , Jian-Qing Sun (1 , Ernst Joachim Weniger (3) ((1) LSEC , Institute of Computational Mathematics , Scientific Engineering Computing , Chinese Academy of Sciences

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PR China. (2) Graduate School of the Chinese Academy of Sciences Beijing PR China. (3) Institut f\"ur Physikalische und Theoretische Chemie Universit\"at Regensburg Federal Republic of Germany.)

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keywords equationalgorithmaccelerationboussinesqconvergencelatticenumericalrelated

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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.

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Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation

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