Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Computing the Electric and Magnetic Matrix Green's Functions in a Rectangular Parallelepiped With a Perfect Conducting Boundary
    (Hindawi Publishing Corporation, 2014) Yakhno, Valery; Ersoy, Şengül; 01. Izmir Institute of Technology
    A method for the approximate computation of frequency-dependent magnetic and electric matrix Green's functions in a rectangular parallelepiped with a perfect conducting boundary is suggested in the paper. This method is based on approximation (regularization) of the Dirac delta function and its derivatives, which appear in the differential equations for magnetic and electric Green's functions, and the Fourier series expansion meta-approach for solving the elliptic boundary value problems. The elements of approximate Green's functions are found explicitly in the form of the Fourier series with a finite number of terms. The convergence analysis for finding the number of the terms is given. The computational experiments have confirmed the robustness of the method.
  • Article
    Noetherian and Artinian Lattices
    (Hindawi Publishing Corporation, 2012) Keskin Tütüncü, Derya; Toksoy, Sultan Eylem; Tütüncü, Derya Keskin; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    It is proved that if L is a complete modular lattice which is compactly generated, then Rad(L)/0 is Artinian if, and only if for every small element a of L, the sublattice a/0 is Artinian if, and only if L satisfies DCC on small elements.