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Browsing Selcuk Journal of Applied Mathematics by Issue Date

Browsing Selcuk Journal of Applied Mathematics by Issue Date

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  • Zenger, Christoph; Schneider, S. A. H. (Selcuk University Research Center of Applied Mathematics, 2000)
    This article is a contribution to the current research field of computational fluid dynamics. We discretize the Stokes flow for Re=0 with adaptive hierarchical finite elements and verify the method with numerical results ...
  • Huckle, Thomas (Selcuk University Research Center of Applied Mathematics, 2000)
    In recent papers the use of sparse approximate inverses for the preconditioning of linear equations Ax=b is examined. The minimization of || AM-I || in the Frobenius norm generates good preconditioners without any a priori ...
  • Vaskevich, Vladimir; Bulgak, Haydar; Çinar, Cengiz (Selcuk University Research Center of Applied Mathematics, 2000)
    Consider an initial value problem for simultaneous linear difference equations x(n+1) = Ax(n) + f(n), x(0) = a, withA theNN rational matrix, {f(n)} a sequence ofN-dimensional rational vectors, anda a rationalN-dimensional ...
  • Vorozhtsov, Evgenii V.; Ganzha, Victor G. (Selcuk University Research Center of Applied Mathematics, 2000)
    The development of new programming paradigms like the object-oriented programming (OOP) and parallel programming opens up the new prospects for the development of reliable and efficient program packages on the basis of ...
  • Bulgak, Haydar; Vaskevich, Vladimir (Selcuk University Research Center of Applied Mathematics, 2000)
    The purpose of the paper is to discuss methods for constructing weighted cubature formulas in Sobolev spaces with periodic members. These formulas are intended to approximate the calculation of Fourier coefficients of ...
  • Demidenko, Gennadii (Selcuk University Research Center of Applied Mathematics, 2000)
    In this paper we study the Cauchy problem for a class of partial differential equations not solved with respect to the highest derivative. The members of this class are called pseudohyperbolic equations. We establish the ...
  • Chumakov, Gennadii A.; Chumakova, Natalia A. (Selcuk University Research Center of Applied Mathematics, 2001)
    We describe an effective computational procedure of obtaining estimate for the global error in the long-term numerical integration with one-step embedded explicit Runge-Kutta methods applied to an ODE system. The paper ...
  • Bornemann, Folkmar (Selcuk University Research Center of Applied Mathematics, 2001)
    This paper presents a simple and elementary proof of Butcher's theorem on the order conditions of Runge-Kutta methods. It is based on a recursive definition of rooted trees and avoids combinatorial tools such as labelings ...
  • Yakhno, Valery; Sevimlican, Ali (Selcuk University Research Center of Applied Mathematics, 2001)
    This paper deals with Maxwell's system. An Explicit formula for a fundamental solution of the Cauchy problem for Maxwell's system with the constant dielectric and magnetic permeabilities, and the matrix conductivity is ...
  • Golubyatnikov, I. V.; Hacısalihoğlu, Hilmi H. (Selcuk University Research Center of Applied Mathematics, 2001)
    We study the uniqueness questions for the inverse problem of determining hamiltonian H(x,p)= gij (x) pi pj and a phase function w(x,t) from the Hamilton-Jacobi equation and the initial-terminal conditions w(x, t0 ), w(x, ...
  • Bulgak, Ayşe (Selcuk University Research Center of Applied Mathematics, 2001)
    In this paper we investigate an algorithm for checking a practical asymptotic stability for an interval matrix.
  • Aydın, Kemal; Bulgak, Haydar; Demidenko, Gennadii (Selcuk University Research Center of Applied Mathematics, 2001)
    We consider linear perturbation systems of difference equations y(n+1)=(A(n) + B(n))y(n), n 0, where A(n), B(n) are NxN periodic matrices with period T. The spectrum of a monodromy matrix of the system x(n+1)=A(n)x(n), n ...
  • Bulgak, Ayşe (Selcuk University Research Center of Applied Mathematics, 2001)
    In this paper we investigate an algorithm for checking a practical discrete-time asymptotic stability of an interval matrix.
  • Bulgak, Haydar; Eminov, Diliaver (Selcuk University Research Center of Applied Mathematics, 2001)
    The computer-aided methods of mathematical education include three main parts: computers, textbooks and software. An experimental version of this approach was elaborated in the Research Centre of Applied Mathematics of the ...
  • Vaskevich, Vladimir L. (Selcuk University Research Center of Applied Mathematics, 2001)
    In the present paper we extend the definition of a hierarchical basis to the case of Banach spaces with higher smoothness order elements. Hierarchical bases are similar to the well-known Faber-Schauder system. We prove ...
  • Chibisov, Dmytro; Ganzha, Victor G.; Vorozhtsov, Evgenii V. (Selcuk University Research Center of Applied Mathematics, 2001)
    We present an approach to rapid solving of modelling problems for fluid dynamics. We show how the problem solving process in fluid dynamics can be expressed through the incremental successive data modelling on the basis ...
  • Korn, Ralf (Selcuk University Research Center of Applied Mathematics, 2001)
    We review some stochastic approaches to the problem of optimally investing money at a securities market. Besides the simple Markowitz one-period approach and the standard continuous-time solution in the Black-Scholes setting ...
  • Demidenko, Gennadii (Selcuk University Research Center of Applied Mathematics, 2001)
    In the paper we present some applications of a new method for constructing approximate projections onto invariant subspaces of linear operators. We illustrate the method on the dichotomy problem for the matrix spectrum ...
  • Yakhno, Valery G.; Uygul, Faruk (Selcuk University Research Center of Applied Mathematics, 2001)
    Main object of this paper is the acoustic equation. Coefficients of this equation are smooth functions of the space variables. Existence and uniqueness theorem of the generalized solution of the Cauchy problem in the form ...
  • Matveeva, Inessa (Selcuk University Research Center of Applied Mathematics, 2001-02-15)
    The author studies the Cauchy problem for a system of integrodifferential equations describing internal waves for the Boussinesq approximation. The necessary and sufficient conditions of solvability in weighted Sobolev ...

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