13 citations · 30 across the 15 of their papers we have counts for
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nlin.SI2021★ 7 cited
Coalgebra symmetry for discrete systems
G. Gubbiotti, D. Latini, B. K. Tapley
In this paper we introduce the notion of coalgebra symmetry for discrete systems. With this concept we prove that all discrete radially symmetric systems in standard form are quasi…
math.NA2021★ 1 cited
Geometric integration of ODEs using multiple quadratic auxiliary variables
Benjamin K Tapley
We present a novel numerical method for solving ODEs while preserving polynomial first integrals. The method is based on introducing multiple quadratic auxiliary variables to refor…
math.NA2021
On the preservation of second integrals by Runge-Kutta methods
Benjamin K Tapley
One can elucidate integrability properties of ordinary differential equations (ODEs) by knowing the existence of second integrals (also known as weak integrals or Darboux polynomia…