Time series problems involve analysis of periodic functions for predicting the future. A flexible regression method should be able to dynamically select the appropriate model to fit the available data. In this paper, we present a function approximation scheme that can be used for modeling periodic functions using a series of orthogonal polynomials, named Chebychev polynomials. In our approach, ...

In this paper, it is shown that for a system of intuitionistic fuzzy linear equations of the form b x A = ⊗ is said to be solvable if, for a definite solution ) ; ( b A x , b b A x A = ) ; ( ⊗ holds, otherwise unsolvable. In general b b A x A ≤ ⊗ ) ; ( holds always, so taking a tolerable solution of an unsolvable system, keeping right hand side of the system constant, modification of the left h...

Bu çalışmada, zamana bağlı Schrödinger denkleminin çözümüne dayanan kuantum dalga paketi metodu, üç boyutta inelastik saçılma problemine uygulandı. denklemi Kosloff tarafından geliştirilen Chebychev açılımı metodu ile çözüldü. Hamiltonyen operatörünün fonksiyonu üzerindeki etkisi, Fourier Dönüşümü ve Kesikli Değişken Gösterimi teknikleri yapıldı. Dalga Grid Metodu analiz edilerek bireysel seviy...

Computational methods are developed for generating Gauss-type quadrature formulae having nodes of arbitrary multiplicity at one or both end points of the interval of integration. Positivity properties of the boundary weights are investigated numerically, and related conjectures are formulated. Applications are made to moment-preserving spline approximation. AMS subject classification: 65D30.

We present a new semide nite programming approach to FIR lter design with arbitrary upper and lower bounds on the frequency response magnitude. It is shown that the constraints can be expressed as linear matrix inequalities (LMIs), and hence they can be easily handled by recent interior-point methods. Using this LMI formulation, we can cast several interesting lter design problems as convex or ...

We investigate analytically as well as numerically Burgers equation with a high-order nonlinearity (i.e., ut = νuxx−unux+mu+h(x)). We show existence of an absorbing ball in L2[0,1] and uniqueness of steady state solutions for all integer n ≥ 1. Then, we use an adaptive nonlinear boundary controller to show that it guarantees global asymptotic stability in time and convergence of the solution to...

We present a new semideenite programming approach to FIR lter design with arbitrary upper and lower bounds on the frequency response magnitude. It is shown that the constraints can be expressed as linear matrix inequalities (LMIs), and hence they can be easily handled by recent interior-point methods. Using this LMI formulation, we can cast several interesting lter design problems as convex or ...

We demonstrate both theoretically and experimentally propagation dynamics of surface gravity water-wave pulses, having Hermite-Gauss envelopes. We show that these waves propagate self-similarly along an 18-m wave tank, preserving their general Hermite-Gauss envelopes in both the linear and the nonlinear regimes. The measured surface elevation wave groups enable observing the envelope phase evol...