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Analysis of institutional authors

Rapun, MlCorresponding AuthorVega, JmAuthor

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June 28, 2021
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Adaptive sampling and modal expansions in pattern-forming systems

Publicated to: ADVANCES IN COMPUTATIONAL MATHEMATICS. 47 (4): 48- - 2021-08-01 47(4), DOI: 10.1007/s10444-021-09870-x

Authors:

Rapún, ML; Terragni, F; Vega, JM
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Affiliations

Univ Carlos III Madrid, Dept Math, Leganes 28911, Spain - Author
Univ Carlos III Madrid, G Millan Inst, Leganes 28911, Spain - Author
Univ Politecn Madrid, ETSI Aeronaut & Espacio, Madrid 28040, Spain - Author
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Abstract

A new sampling technique for the application of proper orthogonal decomposition to a set of snapshots has been recently developed by the authors to facilitate a variety of data processing tasks (J. Comput. Phys. 335, 2017). According to it, robust modal expansions result from performing the decomposition on a limited number of relevant snapshots and a limited number of discretization mesh points, which are selected via Gauss elimination with double pivoting on the original snapshot matrix containing the given data. In the present work, the sampling method is adapted and combined with low-dimensional modeling. This combination yields a novel adaptive algorithm for the simulation of time-dependent non-linear dynamics in pattern-forming systems. Convenient snapshot sets, computed on demand over the evolution, are stored to record local temporal events whose underlying mechanisms are essential for the approximations. Also, a collection of sparse grid points, which are used to construct the mode basis and the reduced system of equations, is adaptively sampled according to unlinked spatial structures. The outcome is a reduced order model of the problem that (i) yields reliable approximations of the dynamical transitions, (ii) is well-suited to describe localized spatio-temporal complexity, and (iii) provides fast computations. Robustness, accuracy, and computational efficiency of the proposed algorithm are illustrated for some relevant pattern-forming systems, in both one and two spatial dimensions, exhibiting solutions with a rich spatio-temporal structure.
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Keywords

Adaptive algorithmsCollocation methodsComplex ginzburg-landau equationEquationFluid-flowsKuramoto-sivashinsky equationNonlinear-systemsOperatorPattern-forming systemsPodProper orthogonal decompositionReduced order modelsReduced-order modelReductionSampling techniquesSensitivity

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal ADVANCES IN COMPUTATIONAL MATHEMATICS due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Applied Mathematics.

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 2026-04-27:

  • WoS: 2
  • Scopus: 2
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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 2026-04-27:

  • 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: 3 (PlumX).

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:

  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/92671/

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: 31
  • Downloads: 12
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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 (RAPUN BANZO, MARIA LUISA) and Last Author (VEGA DE PRADA, JOSE MANUEL).

the author responsible for correspondence tasks has been RAPUN BANZO, MARIA LUISA.

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Awards linked to the item

This work has been supported by the FEDER/Ministerio de Ciencia, Innovacion y Universidades - Agencia Estatal de Investigacion, under grants TRA2016-75075-R and MTM2017-84446-C2-2-R.
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