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.
2019
Settore MAT/08 - Analisi Numerica
Behr N., Dattoli G., Lattanzi A., Licciardi S. (2019). Dual numbers and operational umbral methods. AXIOMS, 8(3) [10.3390/AXIOMS8030077].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/614395
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