Dual numbers and operational umbral methods
Silvia Licciardi · IRIS UniPA (University of Palermo) · 2019
Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view, embedding dual numbers within a formalism reminiscent of operational umbral calculus.