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Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation

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Bibliographic Details
Main Authors: Birgul, Koc, Tomás Chacón, Rebollo, Samuele, Rubino
Format: Book
Language:English
Published: Springer 2023
Subjects:
POD
ROM
Online Access:https://link.springer.com/article/10.1007/s10915-023-02160-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7586
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spelling oai:localhost:PNK-75862023-04-05T08:11:43Z Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation Birgul, Koc Tomás Chacón, Rebollo Samuele, Rubino POD ROM CC BY In this paper, we prove uniform error bounds for proper orthogonal decomposition (POD) reduced order modeling (ROM) of Burgers equation, considering difference quotients (DQs), introduced in Kunisch and Volkwein (Numer Math 90(1):117–148, 2001). In particular, we study the behavior of the DQ ROM error bounds by considering L2(Ω) and H10(Ω) POD spaces and l∞(L2) and natural-norm errors. We present some meaningful numerical tests checking the behavior of error bounds. 2023-04-05T08:11:43Z 2023-04-05T08:11:43Z 2023 Book https://link.springer.com/article/10.1007/s10915-023-02160-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7586 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic POD
ROM
spellingShingle POD
ROM
Birgul, Koc
Tomás Chacón, Rebollo
Samuele, Rubino
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
description CC BY
format Book
author Birgul, Koc
Tomás Chacón, Rebollo
Samuele, Rubino
author_facet Birgul, Koc
Tomás Chacón, Rebollo
Samuele, Rubino
author_sort Birgul, Koc
title Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
title_short Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
title_full Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
title_fullStr Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
title_full_unstemmed Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
title_sort uniform bounds with difference quotients for proper orthogonal decomposition reduced order models of the burgers equation
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10915-023-02160-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7586
_version_ 1762365504527269888
score 8.881002

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