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Analysis of institutional authors

Barcelo Valcarcel, Juan AntonioAuthorLantaron, SAuthorMerchan, SCorresponding Author

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May 17, 2021
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Article

The Dirichlet-to-Neumann Map in a Disk with a One-Step Radial Potential: An Analytical and Numerical Study

Publicated to: Mathematics. 9 (8): 794- - 2021-04-01 9(8), DOI: 10.3390/math9080794

Authors:

Lantaron, Sagrario; Merchan, Susana
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Affiliations

‎ Univ Politecn Madrid, Escuela Caminos Canales & Puertos, Dept Matemat & Informat Aplicadas Ingn Civil & Na, Calle Prof Aranguren 3, Madrid 28040, Spain - Author

Abstract

Herein, we considered the Schrodinger operator with a potential q on a disk and the map that associates to q the corresponding Dirichlet-to-Neumann (DtN) map. We provide some numerical and analytical results on the range of this map and its stability for the particular class of one-step radial potentials.
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Keywords

Dinger operatorDirichlet-to-neumann mapSchr&#246Schrodinger operatorStability

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position 21/333, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics. Notably, the journal is positioned above the 90th percentile.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-25:

  • WoS: 1
  • Scopus: 1
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-25:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

    It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

    • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
    • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/88476/

    As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

    • Views: 126
    • Downloads: 104
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    Leadership analysis of institutional authors

    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 (LANTARON SANCHEZ, SAGRARIO) and Last Author (MERCHAN RUBIRA, SUSANA).

    the author responsible for correspondence tasks has been MERCHAN RUBIRA, SUSANA.

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    Awards linked to the item

    The first author was partially supported by project MTM2017-85934-C3-3-P from the MICINN (Spain). The second author was partially supported by project PDI2019-110712GB-100 of the Ministerio de Ciencia e Innovacion, Spain. We want to thank to J.A. Barcelo and C. Castro their contribution to the research.
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