Robustness of coherent sets computations

Publikation: Beiträge in SammelwerkenAbstracts in KonferenzbändenForschungbegutachtet

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Robustness of coherent sets computations. / Klünker, Anna; Padberg-Gehle, Kathrin.
Proceedings of the 9th European Nonlinear Dynamics Conference: ENOC 2017, 25-30 June 2017, Budapest, Hungary. Hrsg. / Gábor Stépán; Gábor Csernák. Budapest: Congressline Ltd., 2017. 493.

Publikation: Beiträge in SammelwerkenAbstracts in KonferenzbändenForschungbegutachtet

Harvard

Klünker, A & Padberg-Gehle, K 2017, Robustness of coherent sets computations. in G Stépán & G Csernák (Hrsg.), Proceedings of the 9th European Nonlinear Dynamics Conference: ENOC 2017, 25-30 June 2017, Budapest, Hungary., 493, Congressline Ltd., Budapest, European Nonlinear Dynamics Conference - ENOC 2017, Budapest, Ungarn, 25.06.17. <https://congressline.hu/enoc2017/proceedings.php?author=P>

APA

Klünker, A., & Padberg-Gehle, K. (2017). Robustness of coherent sets computations. In G. Stépán, & G. Csernák (Hrsg.), Proceedings of the 9th European Nonlinear Dynamics Conference: ENOC 2017, 25-30 June 2017, Budapest, Hungary Artikel 493 Congressline Ltd.. https://congressline.hu/enoc2017/proceedings.php?author=P

Vancouver

Klünker A, Padberg-Gehle K. Robustness of coherent sets computations. in Stépán G, Csernák G, Hrsg., Proceedings of the 9th European Nonlinear Dynamics Conference: ENOC 2017, 25-30 June 2017, Budapest, Hungary. Budapest: Congressline Ltd. 2017. 493

Bibtex

@inbook{d92eb151227a49f3b0b07c65b64a7423,
title = "Robustness of coherent sets computations",
abstract = "The notion of coherence in time-dependent dynamical systems refers to mobile sets that do not freely mix with thesurrounding regions in phase space. Coherent sets can be identified using set-oriented numerical methods involving transfer operators.Typically, such approach relies on the integration of a large number of particle trajectories computed from test points initialized inthe elements of a fine partition of phase space. This can be prohibitively expensive in complex flows involving turbulence. Here,we systematically study the robustness of such computations in an example system. We demonstrate that the transfer operator basedframework still gives reliable results even when both the number of partition elements and the number of test points are reducedsignificantly.",
keywords = "Mathematics",
author = "Anna Kl{\"u}nker and Kathrin Padberg-Gehle",
year = "2017",
language = "English",
isbn = "978-963-12-9168-1",
editor = "G{\'a}bor St{\'e}p{\'a}n and G{\'a}bor Csern{\'a}k",
booktitle = "Proceedings of the 9th European Nonlinear Dynamics Conference",
publisher = "Congressline Ltd.",
note = "European Nonlinear Dynamics Conference - ENOC 2017, ENOC 2017 ; Conference date: 25-06-2017 Through 30-06-2017",
url = "https://congressline.hu/enoc2017/",

}

RIS

TY - CHAP

T1 - Robustness of coherent sets computations

AU - Klünker, Anna

AU - Padberg-Gehle, Kathrin

N1 - Conference code: 9

PY - 2017

Y1 - 2017

N2 - The notion of coherence in time-dependent dynamical systems refers to mobile sets that do not freely mix with thesurrounding regions in phase space. Coherent sets can be identified using set-oriented numerical methods involving transfer operators.Typically, such approach relies on the integration of a large number of particle trajectories computed from test points initialized inthe elements of a fine partition of phase space. This can be prohibitively expensive in complex flows involving turbulence. Here,we systematically study the robustness of such computations in an example system. We demonstrate that the transfer operator basedframework still gives reliable results even when both the number of partition elements and the number of test points are reducedsignificantly.

AB - The notion of coherence in time-dependent dynamical systems refers to mobile sets that do not freely mix with thesurrounding regions in phase space. Coherent sets can be identified using set-oriented numerical methods involving transfer operators.Typically, such approach relies on the integration of a large number of particle trajectories computed from test points initialized inthe elements of a fine partition of phase space. This can be prohibitively expensive in complex flows involving turbulence. Here,we systematically study the robustness of such computations in an example system. We demonstrate that the transfer operator basedframework still gives reliable results even when both the number of partition elements and the number of test points are reducedsignificantly.

KW - Mathematics

UR - https://congressline.hu/enoc2017/proceedings.php?author=P

M3 - Published abstract in conference proceedings

SN - 978-963-12-9168-1

BT - Proceedings of the 9th European Nonlinear Dynamics Conference

A2 - Stépán, Gábor

A2 - Csernák, Gábor

PB - Congressline Ltd.

CY - Budapest

T2 - European Nonlinear Dynamics Conference - ENOC 2017

Y2 - 25 June 2017 through 30 June 2017

ER -

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