Department of Mathematics
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An Introduction to Sobolev Spaces
Pişkin, Erhan; Okutmuştur, Baver (Bentham Science Publishers, 2021-11-01)
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 ...
A Survey on Hilbert Spaces and Reproducing Kernels
Okutmuştur, Baver (IntechOpen, 2020-02-01)
The main purpose of this chapter is to provide a brief review of Hilbert space with its fundamental features and introduce reproducing kernels of the corresponding spaces. We separate our analysis into two parts. In ...
Functional Calculus
Okutmuştur, Baver (2020-01-01)
A Survey on Spacetime Geometries and Relativistic Models
Okutmuştur, Baver (null; 2019-12-23)
Our analysis starts with the flat geometry, so-called Minkowski spacetime, and follows by further generalizations on specific spherically symmetric geometries whose metric elements describe solutions to the Einstein’s fiel...
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 ...
Scalar Conservation Laws
Okutmuştur, Baver (IntechOpen, 2019-04-01)
We present a theoretical aspect of conservation laws by using simplest scalar models with essential properties. We start by rewriting the general scalar conserva- tion law as a quasilinear partial differential equation a...
Relativistic Burgers Models on Curved Background Geometries
Okutmuştur, Baver (Springer-Verlag, 2019-01-01)
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 approxim...
Reissner-Nordström Uzay-zaman Geometrisinde Burgers modelleri için Şok ve Seyrelme Dalgalarının Yayılımı
Okutmuştur, Baver (2018-10-01)
Yakın zamanda Burgers denklemlerinin rölativistik modellerinin bir çok çesidi elde edilip, bu modellerin farklı uzay-zaman geometrilerindeki versiyonları da gelistirildi. Bumakalede daha önceki çalısmalarda kullanılan...
Reisnerr-Nordstrom Spacetime Geometry: Derivation of the Euler and Burgers Models
Okutmuştur, Baver (2018-7-07)
A relativistic generalization of the Euler and Burgers models have recently been introduced and analyzed both theoretically and numerically. In this work we extend these analysis to a particular type of the Lorentzian mani...
Relativistic Burgers Models on Curved Background Geometries
Okutmuştur, Baver (2018-06-16)
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