Publications


A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime [Abstract] [PDF]
T. Ceylan, P. G. LeFloch, and B. Okutmustur
Commun. Comput. Phys., 23 (2018), pp. 500-519.
Finite volume approximation of the relativistic Burgers equation on a Schwarzschild-(Anti-)de Sitter spacetime [Abstract] [PDF]
B. Okutmustur and T. Ceylan
Turk J Math (2017) 41: 1027-1041.
Finite Volume Method for the Relativistic Burgers Model on a (1+1)-Dimensional de Sitter Spacetime [Abstract] [PDF]
T. Ceylan and B. Okutmustur
Math. Comput. Appl. 2016, 21(2), 16.
Derivation of the relativistic Burgers equation on a de Sitter background
B. Okutmustur and T. Ceylan
Proccedings of 19th International Conference on Applied Mathematics, (WSEAS--AMATH14), Mathematics and Computers in Science and Engineering Series 38, pp. 41-47, 2014.
Relativistic Burgers equations on a curved spacetime. Derivation and finite volume approximation [Abstract] [PDF]
P. G. LeFloch, H. Makhlof and B. Okutmustur
SIAM Journal on Numerical Analysis, Volume 50, Number 4 (2012), 2136-2158.
Hyperbolic conservation laws on manifolds. Error estimate for finite volume schemes [Abstract] [PDF]
P. G. LeFloch, W. Neves and B. Okutmustur
Acta Mathematica Sinica, Volume 25, Number 7 (2009), 1041-1066.
Finite Volume Schemes on Lorentzian Manifolds [Abstract] [PDF]
P. Amorim, P. G. LeFloch and B. Okutmustur
Communications in Mathematical Sciences, Volume 6, Number 4 (2008), 1059-1086.
Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms [Abstract] [PDF]
P. G. LeFloch and B. Okutmustur
Far East Journal of Mathematical Sciences (FJMS), Volume 31, Issue 1 (2008), Pages 49-83.
Hyperbolic conservation laws on spacetimes with limited regularity [Abstract] [PDF]
P. G. LeFloch and B. Okutmustur
C.R. Acad. Sci. (CRAS), Paris 346 (2008), 539-543.
Reproducing Kernel Hilbert Spaces [Abstract]
B. Okutmustur
Master thesis, Bilkent University, August 2005
  Books :
Reproducing Kernel Hilbert Spaces: The Basics, Bergman Spaces, and Interpolation Problems [Abstract]
with Aurelian Gheondea
LAP Lambert Academic Publishing, 2010, ISBN 978-3-8383-5631-0.
Finite Volume Method For Hyperbolic Conservation Laws On Manifolds: Convergence Analysis and Error Estimation [Abstract]
Baver Okutmustur
LAP Lambert Academic Publishing, 2017, ISBN 978-3-3300-6310-5.