Πλοήγηση ανά Θέμα "Mathematics, Applied"
Αποτελέσματα 21-40 από 57
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Formulation and stability analysis of rapidly convergent iteration schemes for the 2-D linearized BGK equation
(2007)Various H-N rapidly convergent schemes are proposed to speed up the slow convergence of the iterative solution of 2-D linearized Bhatnagar-Gross-Krook (BGK) kinetic equation containing up to the first moments of the ... -
GasTurbnLab: a multidisciplinary problem solving environment for gas turbine engine design on a network of nonhomogeneous machines
(2002)Gas turbine engines are very complex (with 20-40,000 parts) and have extreme operating conditions. The important physical phenomena take place on scales from 10-100 microns to meters. A complete and accurate dynamic ... -
The generalized Levinger transformation
(2010)In this paper, we present new results relating the numerical range of a matrix A with the generalized Levinger transformation L(A, alpha, beta) = alpha H(A) + beta S(A), where H(A) and S(A), are, respectively the Hermitian ... -
Golden section, Fibonacci sequence and the time invariant Kalman and Lainiotis filters
(2015)We consider the discrete time Kalman and Lainiotis filters for multidimensional stochastic dynamic systems and investigate the relation between the golden section, the Fibonacci sequence and the parameters of the filters. ... -
A heuristic method for nonconvex optimization in mechanics: Conceptual idea, theoretical justification, engineering applications
(2000)Structures involving nonmonotone, possibly multivalued reaction-displacement or stress-strain laws cannot be effectively treated by the numerical methods for classical nonlinearities. In this paper we make use of the fact ... -
Improving the Performance of the Continued Fractions Method Using New Bounds of Positive Roots
(2008)In this paper we compare four implementations of the Vincent-Akritas-Strzebonski Continued Fractions (VAS-CF) real root isolation method using four different (two linear and two quadratic complexity) bounds on the values ... -
Interpolation based numerical procedure for solving two-point nonlinear boundary value problems
(2004)The present paper offers a simple, efficient and accurate straightforward numerical method for solving two-point nonlinear boundary value problems (NBVPs), which are frequently encountered in a broad discipline of sciences. ... -
Involutions on classical crossed products over global fields
(2002)If L/K is a finite Galois extension of the global field K with Galois group G, we denote by A = (L/K, alpha) the crossed product algebra of G over L, where alpha is the factor set of G. We give a criterion when A admits ... -
Irreducibility and extensions of Ostrowski's Theorem
(2012)In this paper an extension of Ostrowski's Theorem for complex square irreducible matrices is presented. Also extensions of similar statements for square complex matrices are analyzed and completed. Most of the statements ... -
Is A is an element of C-n,C-n a general H-matrix?
(2012)H-matrices play an important role in the theory and applications of Numerical Linear Algebra. So, it is very useful to know whether a given matrix A is an element of C-n,C-n, usually the coefficient of a complex linear ... -
The matrix analogue of the scalar AOR iterative method
(2015)The Accelerated Overrelaxation (AOR) and the Generalized AOR (GAOR) iterative methods for the solution of linear systems of algebraic equations (Ax = b, A is an element of C-nxn, det(A) not equal 0, b is an element of C-n) ... -
MINIMIZATION OF THE SPECTRAL NORM OF THE SOR OPERATOR IN A MIXED CASE
(2007)In this work we solve the problem of the minimization of the spectral norm of the SOR operator associated with a block two-cyclic consistently ordered matrix A epsilon C-n,C-n, assuming that the corresponding Jacobi matrix ... -
Mixed integer parametric bilevel programming for optimal strategic bidding of energy producers in day-ahead electricity markets with indivisibilities
(2013)We address the problem of finding the optimal bidding strategy of an energy producer that participates in a single-period day-ahead electricity market, assuming full knowledge of the market's parameters. The problem is ... -
A new iterative criterion for H-matrices: The reducible case
(2008)H-matrices appear in various areas of science and engineering and it is of vital importance to have an Algorithm to identify the H-matrix character of a certain matrix A epsilon C-n,C-n. Recently, the present authors have ... -
Non-overlapping Generation Species: Complex Prey-Predator Interactions
(2015)In this paper we study a prey-predator dynamical system suitable for species having no overlap between successive generations. Assuming that population evolves in discrete-time steps we investigate the prey refuge effect ... -
Nonstationary Extrapolated Modulus Algorithms for the solution of the Linear Complementarity Problem
(2009)The Linear Complementarity Problem (LCP) has many applications as, e.g., in the solution of Linear and Convex Quadratic Programming, in Free Boundary Value problems of Fluid Mechanics, etc. In the present work we assume ... -
A note on Ostrowski's Theorem
(2013)In this note, a further extension of Ostrowski's Theorem, concerning mainly complex square irreducible matrices, is presented. Specifically, classes of irreducible matrices are determined for which the classical statement: ... -
On a topological closeness of perturbed Julia sets
(2010)In the present work we expand our previous work in [1] by introducing the Julia Deviation Distance and the Julia Deviation Plot in order to study the stability of the Julia sets of noise-perturbed Mandelbrot maps. We observe ... -
On a topological closeness of perturbed Mandelbrot sets
(2010)In the present work we propose a numerical and visual tool for the study of the deformation of the Mandelbrot sets of perturbed Mandelbrot maps by noise in comparison with the original Mandelbrot set. Further, by employing ... -
On Brauer-Ostrowski and Brualdi sets
(2014)For the localization of the spectrum of the eigenvalues of a complex square matrix, the classical Gersgorin Theorem was extended by Ostrowski who used the generalized geometric mean of the row and column sums of the matrix. ...