Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Baver, Okutmustur"'
Autor:
Erhan, Piskin, Baver, Okutmustur
Sobolev spaces were firstly defined by the Russian mathematician, Sergei L. Sobolev (1908-1989) in the 1930s. Several properties of these spaces have been studied by mathematicians until today. Functions that account for existence and uniqueness, asy
Autor:
Baver Okutmustur
Publikováno v:
Finite Difference Methods. Theory and Applications ISBN: 9783030115388
FDM
FDM
Relativistic Burgers model and its generalization to various spacetime geometries are recently studied both theoretically and numerically. The numeric implementation is based on finite volume and finite difference approximation techniques designed fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f638c30dc5b6e5636c22c0fb973c092
https://doi.org/10.1007/978-3-030-11539-5_42
https://doi.org/10.1007/978-3-030-11539-5_42
Autor:
Baver Okutmustur
Publikováno v:
Cilt: 22 Sayı: Özel 448-459
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol 22, Iss 2, Pp 448-459 (2018)
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol 22, Pp 448-459 (2018)
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol 22, Iss 2, Pp 448-459 (2018)
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol 22, Pp 448-459 (2018)
Yakın zamanda Burgers denklemlerinin rölativistik modellerinin bir çok çeşidi elde edilip, bu modellerin farklı uzay-zaman geometrilerindeki versiyonları da geliştirildi. Bu makalede daha önceki çalışmalarda kullanılan teknikler gel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d519127ba213095d802fa7ff8f8aec4f
http://dspace.sdu.edu.tr/xmlui/handle/123456789/19892
http://dspace.sdu.edu.tr/xmlui/handle/123456789/19892
Publikováno v:
Communications in Computational Physics. 23
A relativistic generalization of the inviscid Burgers equation was introduced by LeFloch and co-authors and was recently investigated numerically on a Schwarzschild background. We extend this analysis to a Friedmann-Lemaitre-Robertson-Walker (FLRW) b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8acf3faf18f16453ce0df1ce6f976cf
https://doi.org/10.4208/cicp.020415.260717a
https://doi.org/10.4208/cicp.020415.260717a
Autor:
Baver Okutmustur, Tuba Ceylan
Publikováno v:
Volume: 41, Issue: 4 1027-1041
Turkish Journal of Mathematics
Turkish Journal of Mathematics
The relativistic versions of Burgers equations on the Schwarzschild, FLRW, and de Sitter backgrounds have recently been derived and analyzed numerically via finite volume approximation based on the concerned models. In this work, we derive the relati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6225565971b6ad767b856fca3346cdc8
https://dergipark.org.tr/tr/pub/tbtkmath/issue/35838/401715
https://dergipark.org.tr/tr/pub/tbtkmath/issue/35838/401715
Publikováno v:
Acta Mathematica Sinica, English Series. 25:1041-1066
Following Ben-Artzi and LeFloch, we consider nonlinear hyperbolic conservation laws posed on a Riemannian manifold, and we establish an L1-error estimate for a class of finite volume schemes allowing for the approximation of entropy solutions to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca9d6d3c16498336fb4eda349c347d15
https://doi.org/10.1007/s10114-009-8090-y
https://doi.org/10.1007/s10114-009-8090-y
Autor:
Baver Okutmustur, Tuba Ceylan
Publikováno v:
Mathematical and Computational Applications; Volume 21; Issue 2; Pages: 16
Several generalizations of the relativistic models of Burgers equations have recently been established and developed on different spacetime geometries. In this work, we take into account the de Sitter spacetime geometry, introduce our relativistic mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50d3bb2f25772235dfdf0420cccfab75
https://doi.org/10.3390/mca21020016
https://doi.org/10.3390/mca21020016
Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of relat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::634d1646ac8332dc9ddfa49ea49a4733
http://arxiv.org/abs/1206.3018
http://arxiv.org/abs/1206.3018