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Baver Okutmuştur

Department of Mathematics
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A FIRST COURSE IN ANALYSIS - Introductory Calculus
Okutmuştur, Baver (Nobel Yayın Dağıtım, 2019-09-01)
This book has been prepared in accordance with the programs of Basic Mathematics I, Analysis I or Calculus I courses which are taught at the undergraduate level of the Faculties of Science and Engineering as well as ...
Reissner-Nordström Uzay-zaman Geometrisinde Burgers modelleri için Şok ve Seyrelme Dalgalarının Yayılımı
Okutmuştur, Baver (2018-10-01)
<p> <br></p><div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><span style="font-size: 10.000000pt; font-family: 'NimbusRomNo9L'">Yakın zamanda Burgers d...
Relativistic Burgers Models on Curved Background Geometries
Okutmuştur, Baver (2018-06-16)
A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime
Ceylan, Tuba; Lefloch, Philippe G.; Okutmuştur, Baver (Global Science Press, 2018-02-01)
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-Lemait...
Finite Volume Method For Hyperbolic Conservation Laws On Manifolds
Okutmuştur, Baver (LAP LAMBERT Academic Publishing, 2017-03-01)
The purpose of this book is to lay out a mathematical framework for the convergence and error analysis of the finite volume method for the discretization of hyperbolic conservation laws on manifolds. Finite Volume Me...
Finite volume approximation of the relativistic Burgers equation on a Schwarzschild-(anti-)de Sitter spacetime
Ceylan, Tuba; Okutmuştur, Baver (2017-01-01)
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 thi...
Finite volume method for the relativistic burgers model on a (1+1)-Dimensional de sitter spacetime
Ceylan, Tuba; Okutmuştur, Baver (2016-05-10)
<p>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 ge...
Lefloch, Philippe G.; Makhlof, Hasan; Okutmuştur, Baver (2012-01-01)
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 ...
Reproducing Kernel Hilbert Spaces The Basics Bergman Spaces and Interpolation Problems
Okutmuştur, Baver; Aurelian, Gheondea (LAP Lambert Academic Publishing, 2010-01-01)
This is a series of lectures we have held during the academic year 2004-2005 at the Department of Mathematics of the Bilkent University in the seminar of operator theory. The theory of reproducing kernel Hilbert spac...
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes
Lefloch, Philippe G.; Okutmuştur, Baver; Neves, Wladimir (Springer Science and Business Media LLC, 2009-07-01)
Following Ben-Artzi and LeFloch, we consider nonlinear hyperbolic conservation laws posed on a Riemannian manifold, and we establish an L (1)-error estimate for a class of finite volume schemes allowing for the approximati...