DSpace@Çankaya

Yazar "17647" için Matematik Bölümü Yayın Koleksiyonu listeleme

Yazar "17647" için Matematik Bölümü Yayın Koleksiyonu listeleme

Sırala: Sıra: Sonuçlar:

  • A close look at Newton–Cotes integration rules 
    Sermutlu, Emre (2019)
    Newton–Cotes integration rules are the simplest methods in numerical integration. The main advantage of using these rules in quadrature software is ease of programming. In practice, only the lower orders are implemented ...
  • A new quadrature routine for improper and oscillatory integrals 
    Sermutlu, Emre; Eyyuboğlu, Halil T. (Elsevier Science, 2007-01-01)
    In MATLAB environment, a new quadrature routine based on Gaussian quadrature rule has been developed. Its performance is evaluated for improper integrals, rapidly oscillating functions and other types of functions requiring ...
  • Calculation of average intensity via semi-analytic method 
    Eyyuboğlu, Halil T.; Sermutlu, Emre (Springer, 2010-03)
    We present a semi-analytic approach to the solution of the quadruple Huygens-Fresnel integral which is used to calculate the average receiver intensity of a source beam after it has propagated in a turbulent atmosphere. ...
  • Comparison of Newton–Cotes and Gaussian methods of quadrature 
    Sermutlu, Emre (Elsevier Science, 2005-12)
    We compare Newton-Cotes and Gauss methods of various orders. We give two MATLAB programs that evaluates integrals numerically for given order with given number of points. We make extensive tests with various functions and ...
  • Convergence of general beams into Gaussian intensity profiles after propagation in turbulent atmosphere 
    Eyyuboğlu, Halil T.; Baykal, Yahya; Sermutlu, Emre (Elsevier Science, 2006-09)
    It is shown that a general shaped laser beam will eventually approach a Gaussian average intensity profile after propagation in turbulent atmosphere. In our formulation, source field at the exit plane of the laser is taken ...
  • Intensity fluctuations in J-Bessel-Gaussian beams of all orders propagating in turbulent atmosphere 
    Eyyuboğlu, Halil T.; Sermutlu, Emre; Baykal, Yahya; Cai, Yangjian; Korotkova, Olga (Springer, 2008-11)
    The scintillation index of a J (n) -Bessel-Gaussian beam of any order propagating in turbulent atmosphere is derived and numerically evaluated at transverse cross-sections with the aid of a specially designed triple integral ...
  • On almost periodic solutions for an impulsive delay logarithmic population model 
    Alzabut, Jehad; Stamov, G. T.; Sermutlu, Emre (Pergamon-Elsevier Science LTD, 2010-03)
    By employing the contraction mapping principle and applying the Gronwall-Bellman inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solutions for ...
  • Positive almost periodic solutions for a delay logarithmic population model 
    Alzabut, Jehad; Stamov, G. T.; Sermutlu, Emre (Pergamon-Elsevier Science LTD, 2011-01)
    By utilizing the continuation theorem of coincidence degree theory, we shall prove that a delay logarithmic population model has at least one positive almost periodic solution. An example is provided to illustrate the ...
  • Scintillation advantages of lowest order Bessel-Gaussian beams 
    Eyyuboğlu, Halil T.; Baykal, Yahya; Sermutlu, Emre (Springer, 2008-08)
    For a weak turbulence propagation environment, the scintillation index of the lowest order Bessel-Gaussian beams is formulated. Its triple and single integral versions are presented. Numerical evaluations show that at large ...
  • Scintillation index of modified Bessel-Gaussian beams propagating in turbulent media 
    Eyyuboğlu, Halil T.; Baykal, Yahya; Sermutlu, Emre; Korotkova, Olga; Cai, Yangjian (Optical Soc Amer, 2009-02)
    The scintillation index is formulated for modified Bessel-Gaussian beams propagating in weakly turbulent media. Numerical calculations applied directly to the derived triple integral show that, for off-axis positions, the ...