Browsing NTNU Open by Author "McLaren, David"
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Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals
Celledoni, Elena; McLaren, David; Owren, Brynjulf; Quispel, Reinout (Peer reviewed; Journal article, 2019)Given a quadratic vector field on possessing a quadratic first integral depending on two of the independent variables, we give a constructive proof that Kahan's discretization method exactly preserves a nearby modified ... -
Two classes of quadratic vector fields for which the Kahan discretization is integrable
Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Quispel, Reinout (Journal article, 2016)