caa a22 4500 605497206 CHVBK 20210128100540.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10543-014-0505-1 doi (NATIONALLICENCE)springer-10.1007/s10543-014-0505-1 On the positivity of Poisson integrators for the Lotka-Volterra equations [Elektronische Daten] [Mélanie Beck, Martin Gander] Over the last decade, the field of geometric integration has rapidly established itself as one of the core research areas in numerical ordinary differential equations. Geometric integrators are numerical methods which preserve some of the mathematical or physical properties of the system they are approximating. In the case of the Lotka-Volterra equations, which are a Poisson system, a good geometric integrator should also be a Poisson integrator. There is however another important property of solutions of the Lotka-Volterra equations: they are non-negative, since they represent population densities. We study in this paper the conditions under which two Poisson integrators for the Lotka-Volterra equations lead to positive approximate solutions. Springer Science+Business Media Dordrecht, 2014 Poisson integrators nationallicence Positivity nationallicence Lotka-Volterra equations nationallicence Beck Mélanie Dawson College, Montreal, Canada aut Gander Martin University of Geneva, Geneva, Switzerland aut BIT Numerical Mathematics Springer Netherlands 55/2(2015-06-01), 319-340 0006-3835 55:2<319 2015 55 10543 https://doi.org/10.1007/s10543-014-0505-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10543-014-0505-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Beck Mélanie Dawson College, Montreal, Canada aut NATIONALLICENCE 700 1- Gander Martin University of Geneva, Geneva, Switzerland aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Springer Netherlands 55/2(2015-06-01), 319-340 0006-3835 55:2<319 2015 55 10543