Computing almost-commuting basis of Ordinary Differential Operators

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Computing almost-commuting basis of Ordinary Differential Operators

Publicated to:ACM Communications in Computer Algebra. 57 (3): 111-118 - 2023-12-13 57(3), DOI: 10.1145/3637529.3637531

Authors: Jiménez-Pastor, A.; Rueda, S.L.; Zurro, M.A.

Affiliations

Aalborg Univ, DEIS, DK-9220 Aalborg, Denmark - Author

Aalborg University - Author

Univ Autonoma Madrid, Fac Ciencias, Madrid 28049, Spain - Author

Univ Politecn Madrid, ETS Arquitectura, Madrid 28040, Spain - Author

Universidad Autónoma de Madrid - Author

Universidad Politécnica de Madrid - Author

Abstract

An effective computation of a basis of a nontrivial centralizer of a differential operator is the first step towards a Picard-Vessiot theory for spectral problems of ordinary differential operators. The set of almost-commuting operators enjoys a richer structure that allows the computation of these centralizers. We present a method to calculate a basis of almost-commuting operators. Its application to the computation of nontrivial centralizers is illustrated by examples.

Keywords

centralizersordinary differential operatorsCentralizersDifferential algebraOrdinary differential operators

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Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal ACM Communications in Computer Algebra, and although the journal is classified in the quartile Q4 (Agencia WoS (JCR)), its regional focus and specialization in Mathematics, Applied, give it significant recognition in a specific niche of scientific knowledge at an international level.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 4.01, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Apr 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-04-24, the following number of citations:

OpenCitations: 1

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Denmark.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (ZURRO MORO, ANGELES) .

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