Geometric and integrability properties of Kahan’s method: the preservation of certain quadratic integrals
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DOI: 10.1088/1751-8121/aafb1e
Abstract: Given a quadratic vector field on \mathbb{R}^n 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 modifed integral. Building… read more here.
Keywords: geometric integrability; properties kahan; kahan method; integrability properties ... See more keywords