Blar i NTNU Open på forfatter "Owren, Brynjulf"
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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) -
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 ... -
Variable step size commutator free Lie group integrators
Curry, Charles Henry Alexander; Owren, Brynjulf (Journal article; Peer reviewed, 2019)We introduce variable step size commutator free Lie group integrators, where the error control is achieved using embedded Runge–Kutta pairs. These are schemes for the integration of initial value problems posed on homogeneous ...