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math.CO2023
Systems of Discrete Differential Equations, Constructive Algebraicity of the Solutions
Hadrien Notarantonio, Sergey Yurkevich
In this article, we study systems of , not necessarily linear, discrete differential equations (DDEs) of order with one catalytic variable. We provide a constr…
cs.SC2023
Fast Algorithms for Discrete Differential Equations
Alin Bostan, Hadrien Notarantonio, Mohab Safey El Din
Discrete Differential Equations (DDEs) are functional equations that relate polynomially a power series in with polynomial coefficients in a "catalytic" variable a…