5 citations · 6 across the 2 of their papers we have counts for
3 papers
nlin.SI2004★ 5 cited
Integrable lattices and their sub-lattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme
A. Doliwa, P. Grinevich, M. Nieszporski +1
We introduce the sub-lattice approach, a procedure to generate, from a given integrable lattice, a sub-lattice which inherits its integrability features. We consider, as illustrati…
nlin.SI2004★ 1 cited
The self-adjoint 5-point and 7-point difference operators, the associated Dirichlet problems, Darboux transformations and Lelieuvre formulas
Maciej Nieszporski, Paolo Maria Santini
We present some basic properties of two distinguished discretizations of elliptic operators: the self-adjoint 5-point and 7-point schemes on a two dimensional lattice. We first sho…
nlin.SI2001
The integrable discretization of the Bianchi-Ernst system
M. Nieszporski, A. Doliwa, P. M. Santini
We present the constraint for the discrete Moutard equation which gives the integrable discretization of the Bianchi-Ernst system. We also derive the discrete analogue of the Bianc…