Browsing NTNU Open by Author "McLaren, David I."

Now showing items 1-2 of 2

Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation

van der Kamp, Peter H.; Celledoni, Elena; Mclachlan, Robert, i; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem (Peer reviewed; Journal article, 2019)

Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps

Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H. (Peer reviewed; Journal article, 2019)

In this letter we propose a systematic approach for detecting and calculating integrals and preserved measures of rational maps. The approach is based on the use of cofactors and discrete Darboux polynomials and relies on ...