Discrete soliton equations and convergence acceleration algorithms

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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11 pages, LaTeX file, no figures

Scientific paper

10.1016/0375-9601(95)00865-9

Some of the well-known convergence acceleration algorithms, when viewed as
two-variable difference equations, are equivalent to discrete soliton
equations. It is shown that the $\eta-$algorithm is nothing but the discrete
KdV equation. In addition, one generalized version of the $\rho-$algorithm is
considered to be integrable discretization of the cylindrical KdV equation.

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