In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of the parabolic equations. Theglobal extrapolation and the correction approximations of thir
In this paper, the existence of a global periodic attractor for a third-order phase-lockedloop with tangential phase detector characteristic and frequency modulation input is provedunder some condition on the parameters.
This paper proposes a general integer-valued time series (IVTS) model based on the oneproposed by Al-Osh and Alzaid[1]. The model is represented by a construction from differingfrom Al-Osh's INAR(1) model in which the INAR(1) model is given only
A saddlepoint approximation for a two-sample permutation test was obtained by Robinson[7].Although the approximation is very accurate, the formula is very complicated and difficult toapply. In this papert we shall revisit the same problem from a
Let B(G) denote the bandwidth of graph G. For any tree T, Ve(T) denote the set of leaves(venices of degree l) of T. Wang and Yao[5] obtained that for any tree T, B(T)≤ 「Ve(T) /2」and the bound is sharp. In this paper, we show that any tree may
Combined Chebyshev spectral-finite element schemes are constructed for three-dimensionalunsteady vorticity equation. The generalized stability and convergence are proved strictly.
In this paper) we shall give two new variational formulations for Wilson element on arbitraryquadrilateral meshes. It is shown that the convergence order is O(h) as the Wilson element withoriginal variational formulation. Furthermore, the multigr
Given a multiresolution analysis of multidimension, we construct pre-wavelets and a Rieszwavelet basis under some assumptions on the scale function. Example are provided.
The present paper deals with the inefficiency of the least square estimates in linear models.FOr Gauss-Markov model, a new efficiency is proposed and its lower bound is given. FOr variancecomponent model, an efficiency is introduced and its lower
Let Yi=x'iβo+ei. 1≤i≤n, n≥1 be a linear regression model. Denote by βn the M-estimateof βo, using a convex function ρ. In [1], a basic theorem (Theorem A below) concerning the weakconsistency of βn. is established. This theorem raises fur
This article investigates the test for linearity of a multivariate stochastic regression model.The use of nonparametric regression procedures for developing regression diagnostics has beenthe subject of several recent research efforts. However, w
The restricted flows of a hierarchy of discrete integrable systems are presented. It is shownthat integrals of motion and Lax representation for restricted flows as well as a discrete zerocurvature representation for the hierarchy with sources ca
In this paper, we discuss the construction of attractors and Markov attractors of hyperboliciterated function systems. We show that when M is an irreducible GI matrix, for a huge amount(in the sense a.e. for any ergodic measure) of elements (j,,i
The remainders and the convergence of cardinal polyharmonic spline interpolation are studied, and the asymptotic behavior of the best approximation by polyharmonic spline and the average K-width of some class of smooth functions defined on the Eu
