Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation

Süha Tuna; Metin Demiralp

doi:10.1063/1.4938944

Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation

Süha Tuna
, Metin Demiralp

Bilişim Enstitüsü

Istanbul Technical University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

9 Atıf (Scopus)

Özet

In this work, Enhanced Multivariance Products Representation (EMPR) for bivariate functions is considered specifically. In order to approximate a function involving two independent variables, zeroth order EMPR approximant is taken into account. Due to this aim, univariate support functions are generated on a rectangular geometry using an optimization process. The area of the relevant rectangle is shrinked to zero value limit to increase the efficiency of the corresponding EMPR approximation with the help of a new technique, that is, geometric separation.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015
Editörler	Zacharoula Kalogiratou, Theodore E. Simos, Theodore Monovasilis, Theodore E. Simos, Theodore E. Simos
Yayınlayan	American Institute of Physics Inc.
ISBN (Elektronik)	9780735413498
DOI'lar	https://doi.org/10.1063/1.4938944
Yayın durumu	Yayınlandı - 31 Ara 2015
Etkinlik	International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015 - Athens, Greece Süre: 20 Mar 2015 → 23 Mar 2015

Yayın serisi

Adı	AIP Conference Proceedings
Hacim	1702
ISSN (Basılı)	0094-243X
ISSN (Elektronik)	1551-7616

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???event.eventtypes.event.conference???	International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015
Ülke/Bölge	Greece
Şehir	Athens
Periyot	20/03/15 → 23/03/15

Bibliyografik not

Publisher Copyright:
© 2015 AIP Publishing LLC.

Belgeye Erişim

10.1063/1.4938944

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Tuna, S., & Demiralp, M. (2015). Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation. In Z. Kalogiratou, T. E. Simos, T. Monovasilis, T. E. Simos, & T. E. Simos (Eds.), International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015 Makale 170009 (AIP Conference Proceedings; Hac. 1702). American Institute of Physics Inc.. https://doi.org/10.1063/1.4938944

Tuna, Süha ; Demiralp, Metin. / Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation. International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015. editör / Zacharoula Kalogiratou ; Theodore E. Simos ; Theodore Monovasilis ; Theodore E. Simos ; Theodore E. Simos. American Institute of Physics Inc., 2015. (AIP Conference Proceedings).

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title = "Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation",

abstract = "In this work, Enhanced Multivariance Products Representation (EMPR) for bivariate functions is considered specifically. In order to approximate a function involving two independent variables, zeroth order EMPR approximant is taken into account. Due to this aim, univariate support functions are generated on a rectangular geometry using an optimization process. The area of the relevant rectangle is shrinked to zero value limit to increase the efficiency of the corresponding EMPR approximation with the help of a new technique, that is, geometric separation.",

keywords = "Approximation, Bivariate functions, Enhanced multivariance products representation (EMPR), Geometric separation, Zero volume",

author = "S{\"u}ha Tuna and Metin Demiralp",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015 ; Conference date: 20-03-2015 Through 23-03-2015",

year = "2015",

month = dec,

day = "31",

doi = "10.1063/1.4938944",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Zacharoula Kalogiratou and Simos, \{Theodore E.\} and Theodore Monovasilis and Simos, \{Theodore E.\} and Simos, \{Theodore E.\}",

booktitle = "International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015",

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Tuna, S & Demiralp, M 2015, Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation. in Z Kalogiratou, TE Simos, T Monovasilis, TE Simos & TE Simos (eds), International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015., 170009, AIP Conference Proceedings, hac. 1702, American Institute of Physics Inc., International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015, Athens, Greece, 20/03/15. https://doi.org/10.1063/1.4938944

Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation. / Tuna, Süha; Demiralp, Metin.
International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015. ed. / Zacharoula Kalogiratou; Theodore E. Simos; Theodore Monovasilis; Theodore E. Simos; Theodore E. Simos. American Institute of Physics Inc., 2015. 170009 (AIP Conference Proceedings; Hac. 1702).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation

AU - Tuna, Süha

AU - Demiralp, Metin

PY - 2015/12/31

Y1 - 2015/12/31

N2 - In this work, Enhanced Multivariance Products Representation (EMPR) for bivariate functions is considered specifically. In order to approximate a function involving two independent variables, zeroth order EMPR approximant is taken into account. Due to this aim, univariate support functions are generated on a rectangular geometry using an optimization process. The area of the relevant rectangle is shrinked to zero value limit to increase the efficiency of the corresponding EMPR approximation with the help of a new technique, that is, geometric separation.

AB - In this work, Enhanced Multivariance Products Representation (EMPR) for bivariate functions is considered specifically. In order to approximate a function involving two independent variables, zeroth order EMPR approximant is taken into account. Due to this aim, univariate support functions are generated on a rectangular geometry using an optimization process. The area of the relevant rectangle is shrinked to zero value limit to increase the efficiency of the corresponding EMPR approximation with the help of a new technique, that is, geometric separation.

KW - Approximation

KW - Bivariate functions

KW - Enhanced multivariance products representation (EMPR)

KW - Geometric separation

KW - Zero volume

UR - https://www.scopus.com/pages/publications/84984585824

U2 - 10.1063/1.4938944

DO - 10.1063/1.4938944

M3 - Conference contribution

AN - SCOPUS:84984585824

T3 - AIP Conference Proceedings

BT - International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015

A2 - Kalogiratou, Zacharoula

A2 - Simos, Theodore E.

A2 - Monovasilis, Theodore

A2 - Simos, Theodore E.

PB - American Institute of Physics Inc.

T2 - International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015

Y2 - 20 March 2015 through 23 March 2015

ER -

Tuna S, Demiralp M. Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation. In Kalogiratou Z, Simos TE, Monovasilis T, Simos TE, Simos TE, editörler, International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015. American Institute of Physics Inc. 2015. 170009. (AIP Conference Proceedings). doi: 10.1063/1.4938944

Bivariate enhanced multivariance products representation (EMPR) at zero volume limit via geometric separation

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