Contents / İçindekiler

CV / Özgeçmiş

Personal Information

Name : Hüseyin Kaya
Phone : +90 212 285 70 77 (ext. 123)
Address : İstanbul Teknik Üniversitesi, Bilişim Enstitüsü, Maslak, İstanbul
Email : hkaya@be.itu.edu.tr, WWW: http://istanbul.be.itu.edu.tr/~hkaya

Education

M.Sc. in Computational Science and Engineering, Informatics Institute, Istanbul Technical University, Istanbul, Turkey, June 2003.
BS in Mathematics, Middle East Technical University, Ankara, Turkey June 2000.

Publications / Makaleler

Hüseyin Kaya, Murat Kaplan, Hasan Saygın. "A Recursive Algorithm for Finding HDMR Terms for Sensitivity Analysis",
Computer Physics Communications, Volume 158, Issue 2, 1 April 2004, Pages 106-112.

Conferences / Bildiriler

Hasan Saygın, Hüseyin Kaya, Metin Demiralp. "Using Factorized High Dimensional Model Representation for Solution of Time Dependent Schrodinger Equation" (Turkish) Download
("Zamana Bağımlı Hamiltonyenli Schrödinger Evrim Denkleminin Çözüm Yaklaştırımında Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilim" (Türkçe) (İndir)
12. Ulusal Mekanik Kongresi, Selçuk Üniversitesi, Konya, 10-14 Eylül 2001.
Hüseyin Kaya, Murat Kaplan. "Parallel Implementations in Computer Visualization" (Turkish) Download
("Bilgisayar Tabanlı Görselleştirmede Paralel Uygulamalar" (Türkçe) İndir)
Akademik Bilişim'03, 3-5 Şubat 2003, Çukurova Üniversitesi, Adana.
Hüseyin Kaya, Murat Kaplan, Hasan Saygın. "A Recursive Algorithm for Finding HDMR Terms for Sensitivity Analysis"
International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003) Kastoria, Greece 12-16 September 2003
Hüseyin Kaya, Hasan Saygın. "Using Multifrontal Methods for Solution of Neutron Diffusion Equation"
International Conference on Supercomputing in Nuclear Applications, SNA'2003, Palais des Congrès Paris, France, 22-24 September 2003
MODEST-5C: Summer school on direct N-body simulations,
Astronomical Institute, 'Anton Pannekoek',Amsterdam, 24-30 July 2005 The photos I've taken
Hüseyin Kaya, Metin Demiralp, "A new order reduction method for particle simulations"
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2005) Rhodes, Greece, 16-20 September 2005.

Programs / Programlar

Homeworks of Generalized Inverse Techniques
- Newton's Forward Differences
  - NewtonsForward.c Forward Difference Routine. download
  - NewtonsForwardMain.c Main program for Forward Difference Routine. download
- Interface for Newton's Forward Difference. Enter the function in the first box via C syntax. Other boxes are used for begin and end of interpolation interval and number of intervals. Number of intervals can be at most 20 since error propogation of Newton's Forward Differences is very high. Although the algorithm is designed to interpolate values between first and second datum, whole interval is used to show the accuracy of the algorithm.
  Example : jnf(3,x) , 0.0 , 20.0 , 5 where jnf(3,x) denotes Bessel function of the first kind of order n of x.
  
  "); ?>
- Newton's Divided Differences
  - Divided.c Divided Difference Routine. download
  - DividedMain.c Main program for Divided Difference Routine. download
- Interface for Divided Difference. Enter the function in the first box. Other boxes are used for begin and end of interpolation interval and number of intervals. Number of intervals can be at most 20 since error propogation of Divided differences is very high.
  Example : sin(x) , 0.0 , 1.0 , 5
  
  "); ?>
- Romberg Integration (Romberg Integrasyonu)
  - Simpson.c is used as basic numerical integration routine.
  - SimpsonMain.cMain program of Simpson.
  - Romberg.c Romberg routine. download
  - RombergMain.cMain program of Romberg routine.
- Interface for Romberg. Enter the function in the first box.
  
  Example : Integral[x,x=0..20,n=10] = 200.000000 Integral[$f,x=$a..$b,n=$n] = $rombergsonuc"); ?>
Homeworks of Computational Complexity
- Gaussion Elimination with Partial Pivoting
  (Gauss Eliminasyon Yöntemi ile Doğrusal Denklem Takımı Çözümü)
  gauss.f, genmatrix.f Here how the program works :
```
	hkaya@istanbul:~> ifort gauss.f -o gauss.exe
	hkaya@istanbul:~> ifort genmatrix.f -o genmatrix.exe
	hkaya@istanbul:~> echo 10 | ./genmatrix.exe > mat10.dat
	hkaya@istanbul:~> ./gauss.exe < mat10.dat 
	DIMENSION OF THE MATRIX      =           10
	# OF ENTRIES COMPUTED TRUE   =          100
	# OF ENTRIES COMPUTED FALSE  =            0
	
```
- Newton-Rapson. newton.c
  An interface to the program is presented. Boxes are used for initial value, tolerance and maximum iteration number respectively. The x^2-2 (root = sqrt(2)) is selected for this interface.
  
  Example : init=1000 tol=1e-10 maxiter=100 gives
  Root : 1.4142135623730950487637881 [After 15 iteration] Result: Root of x^2-2 where initial value=$init tolerance=$tol and maximum iteration=$maxiter
  $newtonsonuc"); ?>
A simple n-body simulation with particle-particle approach. (Parçacık-parçacık ilkesi ile yapılmış basit bir çok-cisim simulasyonu.)
Extended Euclidean Algorithm to find GCD of a two big integers.(Verilen iki büyük tamsayının En Büyük Ortak Bölenini bulmak için GNU MP kütüphanesi ile yazılmış bir program)
- Source code :ExtendedEuclidean.c You should also install GNU Multiprecision Library GMP
- Example : 75 and 28 gives 1 since gcd(75,28)=1 $euclideansonuc"); ?>
A program to compute Jacobi Symbol. (Jacobi Sembolünü hesaplamak için GNU MP kütüphanesi ile yazılmış bir program)
- Example : 7411 and 9283 gives -1 Result : Jacobi($m,$n) = $sonuc"); ?>
A program to compute Modular Exponentiation. (Çok büyük sayılar için modüler üs alma programı.)
- Example : 9726 ^ 3533 (mod 11413) = 5761 Answer : $x^$c (mod $n) = $karesonuc"); ?>
Implementation of Tree and Butterfly Barrier in MPI. (MPI içerisinde yer alan "Barrier" fonksiyonunun farklı iki şekilde yazılması.)
- barrier.c (source) (kaynak)
Outer product of two vectors in MPI via a pipeline algorithm. (İki yöneyin dış çarpımının pipeline yöntemi ile gerçekleştirilmesi.)
- pipeline.c (source) (kaynak)
Above two programs are parts of my homework in Parallel Algorithms course. (Yukarıdaki iki program aslında benim ödevimden alınma iki programdır. Ödevin tamamını indirmek isterseniz aşağıdaki bağlantıyı kullanabilirsiniz.)
- hkayaodev1.pdf (pdf) (PDF dosyasi)
- BarrierAndButterflyHW (tgz) (paket)

Documentation / Kaynak Yazılar

Makefile ile ilgili bol açıklamalı bir örnek: Makefile. Bu örneğin basite indirgenmiş ve açıklamaları silinmiş hali : Makefile.basit. Tabii bu örneklerin yazılma amacı olan Fortran kaynak dosyaları : MakefileOrnegi.tgz.
Concurrent Versions System (CVS); Thesis Preparation with CVS (Turkish) Download
(Concurrent Versions System (CVS); CVS Yardımı ile Tez Hazırlama (Türkçe) İndir)
VIM Tutorial (Turkish) Download
(VIM Kılavuzu İndir)
A very short tutorial about Autofs (Turkish) Download
(Autofs ile ilgili kısa bir kılavuz (Türkçe) İndir)
CSS (Cascading Style Sheets) (Turkish) Download
(CSS (Cascading Style Sheets) (Türkçe) İndir)
A short document about Regular Expressions (Turkish) Download
(Regular Expressions hakkında kısa bir belge (Türkçe) İndir)
PHP (Turkish) Download
(PHP (Türkçe) İndir)
MySQL (Turkish) Download
(MySQL (Türkçe) İndir)
XML (Turkish) Download
(XML (Türkçe) İndir)
Frequently Asked Questions (Turkish) View Online
(Sıkça Sorulan Sorular (Türkçe) Hemen Oku)

Presentations / Sunumlar

Gaussian Elimination with Message Passing Interface, with Murat Kaplan. (English) View Online
(MPI ile Gauss Eliminasyonu, Murat Kaplan ile beraber (İngilizce)Hemen Oku)
Unifrontal/Multifrontal Methods : Overview (English) View Online
(Unifrontal ve Multifrontal Yöntemlere Giriş (İngilizce)Hemen Oku)
A short document about Sets. (English) Download
(Kümeler ile ilgili kısa bir belge (İngilizce) İndir)

Research Areas / İlgilendiğim Konular

High Dimensional Model Representation
(Yüksek Boyutlu Model Gösterilim)
Sparse direct methods, multifrontal techniques
(Seyrek matris teknikleri, multifrontal metodlar)
Numerical solutions of NDE
(Nötron Difuzyon Denkleminin sayısal çözümleri)

Thesis Subject / Tez Konusu

Using Direct Methods for Solution of Neutron Diffusion Equation
Nötron Difuzyon Denkleminin Çözümünde Doğrudan Yöntemlerin Kullanımı

Courses / Dersler

EST533B TCP/IP Based Network Security and Management (TCP/IP Tabanlı Ağ Güvenliği ve Yönetimi)
BIL104E Introduction to Scientific and Engineering Computing (Bilimsel Hesaplamaya Giriş)
- Spring 2003 (Bahar 2003)
- Fall 2003, CRN: 12215 (Kış 2003, CRN: 12215)
- Fall 2003, CRN: 12217 (Kış 2003, CRN: 12217)
- Fall 2003, CRN: 12587 (Kış 2003, CRN: 12587)
- Fall 2003, ISE101 (Kış 2003, ISE101)

Contact / İletişim

For any question. please contact Hüseyin Kaya
(Her türlü sorunuz için bana mesaj atabilirsiniz Hüseyin Kaya)

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