• Using ω-circulant matrices for the preconditioning of Toeplitz Systems 

  Fischer, Rainer; Huckle, Thomas (Selcuk University Research Center of Applied Mathematics, 2003)

  Toeplitz systems can be solved efficiently by using iterative methods such as the conjugate gradient algorithm. If a suitable preconditioner is used, the overall cost of the method is O(n log(n)) arithmetic operations. ...
• Optimum spectral parameter and convergency for stationary iterative methods in the case of three-diagonal SLAE 

  Kulikov, Sergey (Selcuk University Research Center of Applied Mathematics, 2003)

  The modified stationary iterative methods of the solution of system of the linear algebraic equations (SLAE) are considered.For SLAE with a three-diagonal matrix with constant factors it is shown, that eigenvalues of ...
• Volterra integral equation method for solving some hyperbolic equation problems 

  Yakhno, Valery G.; Işık, Ali (Selcuk University Research Center of Applied Mathematics, 2003)

  The Cauchy problem for a hyperbolic equation with function coefficients of the first partial derivatives with respect to time and space variables is considered. It is proved by Sobolev's method that solution of this problem ...
• Simulation of electromagnetic wave propagation in anisotropic media 

  Yakhno, Valery G.; Yakhno, Tatyana; Kasap, Mustafa (Selcuk University Research Center of Applied Mathematics, 2003)

  Explicit formulas for fundamental and generalized solutions of the Cauchy problem for Maxwell's system are obtained for the case when the dielectric permeability is a symmetric positive definite matrix, the magnetic ...
• A problem of plane integral geometry 

  Yıldız, Mustafa (Selcuk University Research Center of Applied Mathematics, 2003)

  In this work we deal with existence, uniqueness and stability of solutions to the two dimensional integral geometry problem for a family of regular curves of given curvature. Here a family of regular curves means that from ...
• A compatible lagrangian hydrodynamics algorithm for unstructured grids 

  Campbell, James C.; Shashkov, Mikhail J. (Selcuk University Research Center of Applied Mathematics, 2003)

  We have extended a compatible Lagrangian hydrodynamics algorithm to unstructured grids, where each zone is a polygon with an arbitrary number of sides. An unstructured grid offers more flexibility than a logical grid in ...
• Simulation technology - the role of concepts and algorithms 

  Bungartz, Hans-Joachim; Mundani, Ralf-Peter (Selcuk University Research Center of Applied Mathematics, 2003)

  Since modern numerical simulation is a transdiscipli-nary field of research, the question often arises up to which extent this fact should be reflected by the content of single courses as well as by the structure of the ...
• Linear algebra without determinant 

  Bulgak, Haydar; Zenger, Christoph (Selcuk University Research Center of Applied Mathematics, 2003)

  The course of linear algebra is one of the basic courses in modern university education. Since the work by J. Von Neumann and H. Goldstine (1947), the epoch of a determinant in practical computing of the linear algebraic ...
• Cauchy solver 

  Bulgak, Ayşe; Eminov, Diliaver (Selcuk University Research Center of Applied Mathematics, 2003)

  This article presents a dialogue program "Cauchy Solver 2.1" that has been elaborated for computing the Cauchy problem for discrete-time and differential linear equations. The program features are: plotting graphical ...
• Boundary rigidity for Riemannian manifolds 

  Amirov, Arif (Selcuk University Research Center of Applied Mathematics, 2003)

  In the work question of the uniqueness of the solution of the problem of restoring the Riemannian metric by the distances between the pairs of the points of boundary of the region are investigated.The uniqueness of solution ...

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