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When the worst case integration error in a family of functions decays as nfor some > 1 and simple averages along an extensible sequence match that rate at a set of sample sizes n1 < n2 <    < 1...
Gauss quadrature is a well known method for estimating the integral of a continuous function with respect to a given measure as a weighted sum of the function evaluated at a set of node points. Gauss ...
The first part of my thesis is concerned with estimation for longitudinal data using generalized semi-parametric mixed models and multilevel generalized linear mixed models for a binary response. Like...
为了解决无源传感器机动目标跟踪系统非线性较强、传统的跟踪滤波方法不稳定容易发散的缺陷,提出了一种带渐消因子的QKF(FQKF)算法。该算法通过引入时变渐消因子来实时调整状态预测误差协方差阵、量测预测误差协方差阵及状态预测误差和量测预测误差之间的互协方差阵,利用公式推导得出渐消因子实际上是对状态传播积分点和量测传播积分点进行渐消,进而达到实时调整滤波器增益矩阵的目的。并通过算法的机理分析和仿真实验表...
We study the error in quadrature rules on a compact manifold, XN j=1 !jf (zj) − Z M f(x)dx ≤ cD {zj} V {f} .
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments ...
In this work, we describe, analyze, and implement a pseudospec-tral quadrature method for a global computer modeling of the incompressible surface Navier-Stokes equations on the rotating unit sphere. ...
We report on the efficient generation, propagation, and re-emission of squeezed long-range surface-plasmon polaritons (SPPs) in a gold waveguide. Squeezed light is used to excite the non-classical SPP...
The unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the variable -coefficient unstable nonlinear Schrödinger (vcUNLS) eq...
Given are two strictly positive constants a and k. We show that if a ¸ 3:92k then there exists an open and bounded set ­ in R2 which contains strictly the line segment C (C = [¡1; 1]...
A generalization of the pre-Grüss inequality is presented. It is applied to estimations of remainders of some quadrature formulae.
The order structure of the set of six operators connected with quadrature rules is established in the class of 3-convex functions. Convex combinations of these operators are studied and their error bo...
The error bounds for Gauss-Legendre and Lobatto quadratures are proved for four times differentiable functions (instead of six times differentiable functions as in the classical results). Auxiliaril...
In the article ''N. Ujevic, A generalization of the pre-Grüss inequality and applications to some quadrature formulae, J. Inequal. Pure Appl. Math., 3(2), Art. 13, 2002'' error bounds for some quadrat...

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