Abstract
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.
Funder
Horizon 2020 Framework Programme
Narodowe Centrum Nauki
Polish National Agency for Academic Exchange (NAWA) program for Polish researchers
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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