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Deducing properties of ODEs from their discretization
Published 13 Apr 2021 in math.CA, cs.NA, math-ph, math.MP, and math.NA | (2104.05951v1)
Abstract: We show that some hard to detect properties of quadratic ODEs (eg certain preserved integrals and measures) can be deduced more or less algorithmically from their Kahan discretization, using Darboux Polynomials (DPs). Somewhat similar results hold for ODEs of higher degree/order using certain other birational discretization methods.
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