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.
Behr N., Dattoli G., Lattanzi A., Licciardi S. (2019). Dual numbers and operational umbral methods. AXIOMS, 8(3) [10.3390/AXIOMS8030077].
Dual numbers and operational umbral methods
Licciardi S.
2019-01-01
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.File in questo prodotto:
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