Probabilistic evolutions in classical dynamics: Conicalization and block triangularization of Lennard-Jones systems

Burcu Tunga, Metin Demiralp

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde BölümKonferans katkısıbilirkişi

6 Atıf (Scopus)

Özet

This work aims at the solution of two-body problem with Lennard-Jones potential via recently developed Probabilistic Evolution Approach (PEA) proposed by M. Demiralp for explicit ODEs, as final target. PEA has been quite well developed and it is well-known that the conicality in descriptive functions facilitates the construction of the truncation approximants. Conicality, if does not exist, can be obtained by using the space extension method at the expense of an increase in the number of the unknowns and may bring the block triangularity which is another important facility to investigate and control the properties of PEA. In space extension we construct the Hamilton equations of the motion for the system first and then define new appropriate unknown functions depending on the existing unknowns such that the resulting ODEs to be used in PEA become conical. This attempt provides us with the block triangularity at the same time.

Orijinal dilİngilizce
Ana bilgisayar yayını başlığıNumerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
Sayfalar1986-1989
Sayfa sayısı4
Baskı1
DOI'lar
Yayın durumuYayınlandı - 2012
Harici olarak yayınlandıEvet
EtkinlikInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Kos, Greece
Süre: 19 Eyl 201225 Eyl 2012

Yayın serisi

AdıAIP Conference Proceedings
Sayı1
Hacim1479
ISSN (Basılı)0094-243X
ISSN (Elektronik)1551-7616

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???event.eventtypes.event.conference???International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Ülke/BölgeGreece
ŞehirKos
Periyot19/09/1225/09/12

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