Selçuk Üniversitesi Dijital Arşiv Sistemi

Yayın tarihi için Selcuk Journal of Applied Mathematics listeleme

Yayın tarihi için Selcuk Journal of Applied Mathematics listeleme

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  • Adaptive hierarchical tenzor product finite elements for fluid dynamics 
    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 ...
  • Factorized sparse approximate inverses for preconditioning and smoothing 
    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 ...
  • Algorithm with guaranteed accuracy for computing a solution to an initial value problem for linear difference equations 
    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 ...
  • Diagram design and analysis of aerodynamics problems with mathematica 
    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 ...
  • Optimal cubature formulas for Fourier coefficients of periodic functions in Sobolev spaces 
    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 ...
  • The Cauchy problem for pseudohyperbolic equations 
    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 ...
  • On a global error estimate in long-term numerical integration of ordinary differential equations 
    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 ...
  • Runge-Kutta methods, trees, and maple on a Simple Proof of Butcher's Theorem and the automatic generation of order condition 
    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 ...
  • Fundamental solution of the Cauchy problem for an anisotropic electrodynamic system 
    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 ...
  • A local inverse problem for Hamilton-Jacobi equation Reconstruction of Riemannian metric 
    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, ...
  • Checking a practical asymptotic stability for an interval matrix 
    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.
  • Continuity of numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients 
    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 ...
  • Checking a practical discrete-time asymptotic stability for an interval matrix 
    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.
  • Computer dialogue system MVC 
    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 ...
  • Best approximation and hierarchical bases 
    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 ...
  • Problem solving for scientific computing: data modelling instead of algorithms 
    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 ...
  • Stochastic models for optimal investment 
    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 ...
  • On a functional approach to spectral problems of linear algebra 
    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 ...
  • General solution of the Cauchy problem for the acoustic equation in the form of dynamic ray expansion 
    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 ...
  • Solvability conditions of the Cauchy problem for the system of internal waves 
    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 ...