Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials

Burcu Tunga

doi:10.1063/1.4938946

Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials

Burcu Tunga^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

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

2 Atıf (Scopus)

Özet

Separate Multinode Ascending Derivatives Expansion (SMADE) is a recently developed function representation method based on "Separate Node Ascending Derivatives Expansion (SNADE)" which was proposed by Prof. Demiralp. For this reason we call this method in this work "Demiralp's SMADE". The basic difference between two methods is that SNADE uses one separate node for each derivative to construct the expansion while SMADE uses multinodes for the same entities even though the separate nature of the nodes is not mandatory. This study focuses on SMADE both to present all important details of the method including its formulation and its basis polynomials.

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/10.1063/1.4938946
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

10.1063/1.4938946

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Tunga, B. (2015). Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials. 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 170011 (AIP Conference Proceedings; Hac. 1702). American Institute of Physics Inc.. https://doi.org/10.1063/1.4938946

Tunga, Burcu. / Separate multinode ascending derivatives expansion (Demiralp's SMADE) : Basis polynomials. 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).

@inproceedings{502fc8df62a04817875dc517fec8ef12,

title = "Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials",

abstract = "Separate Multinode Ascending Derivatives Expansion (SMADE) is a recently developed function representation method based on {"}Separate Node Ascending Derivatives Expansion (SNADE){"} which was proposed by Prof. Demiralp. For this reason we call this method in this work {"}Demiralp's SMADE{"}. The basic difference between two methods is that SNADE uses one separate node for each derivative to construct the expansion while SMADE uses multinodes for the same entities even though the separate nature of the nodes is not mandatory. This study focuses on SMADE both to present all important details of the method including its formulation and its basis polynomials.",

keywords = "Polynomial recursions, Remainder bounds, SMADE Convergence, SMADE expansion, SNADE, Univariate functions",

author = "Burcu Tunga",

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 = "10.1063/1.4938946",

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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Tunga, B 2015, Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials. in Z Kalogiratou, TE Simos, T Monovasilis, TE Simos & TE Simos (eds), International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015., 170011, 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/10.1063/1.4938946

Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials. / Tunga, Burcu.
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. 170011 (AIP Conference Proceedings; Hac. 1702).

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

TY - GEN

T1 - Separate multinode ascending derivatives expansion (Demiralp's SMADE)

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

AU - Tunga, Burcu

PY - 2015/12/31

Y1 - 2015/12/31

N2 - Separate Multinode Ascending Derivatives Expansion (SMADE) is a recently developed function representation method based on "Separate Node Ascending Derivatives Expansion (SNADE)" which was proposed by Prof. Demiralp. For this reason we call this method in this work "Demiralp's SMADE". The basic difference between two methods is that SNADE uses one separate node for each derivative to construct the expansion while SMADE uses multinodes for the same entities even though the separate nature of the nodes is not mandatory. This study focuses on SMADE both to present all important details of the method including its formulation and its basis polynomials.

AB - Separate Multinode Ascending Derivatives Expansion (SMADE) is a recently developed function representation method based on "Separate Node Ascending Derivatives Expansion (SNADE)" which was proposed by Prof. Demiralp. For this reason we call this method in this work "Demiralp's SMADE". The basic difference between two methods is that SNADE uses one separate node for each derivative to construct the expansion while SMADE uses multinodes for the same entities even though the separate nature of the nodes is not mandatory. This study focuses on SMADE both to present all important details of the method including its formulation and its basis polynomials.

KW - Polynomial recursions

KW - Remainder bounds

KW - SMADE Convergence

KW - SMADE expansion

KW - SNADE

KW - Univariate functions

UR - http://www.scopus.com/inward/record.url?scp=84984559194&partnerID=8YFLogxK

U2 - 10.1063/1.4938946

DO - 10.1063/1.4938946

M3 - Conference contribution

AN - SCOPUS:84984559194

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.

Y2 - 20 March 2015 through 23 March 2015

ER -

Tunga B. Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials. 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. 170011. (AIP Conference Proceedings). doi: 10.1063/1.4938946

Separate multinode ascending derivatives expansion (Demiralp's SMADE): Basis polynomials

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