On the positivity of Poisson integrators for the Lotka-Volterra equations

DOI10.1007/S10543-014-0505-1zbMath1321.65184OpenAlexW1973647496MaRDI QIDQ2350717

Martin J. Gander, Mélanie Beck

Publication date: 25 June 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0505-1

zbMATH Keywords

positivityerror boundsHamiltonian systemsymplectic methodsLotka-Volterra equationsnumerical resultsymplectic Euler methodPoisson systemPoisson integrators

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Cites Work

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