Discrete soliton equations and convergence acceleration algorithms

نویسنده

  • A. Nagai
چکیده

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 η−algorithm is nothing but the discrete KdV equation. In addition, one generalized version of the ρ−algorithm is considered to be integrable discretization of the cylindrical KdV equation. ‡ E-mail: [email protected] to appear in Phys. Lett. A

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تاریخ انتشار 1995