We extend the classical empirical interpolation method [1] to a weighted empirical interpolation method in order to approximate nonlinear parametric functions with weighted parameters, e.g. random variables obeying various probability distributions. A priori convergence analysis is provided for the proposed method and the error bound by Kolmogorov N-width is improved from the recent work [13]. ...

The main objective of this study was to develop parsimonious empirical models for predicting the mass and number concentrations of ultrafine particulate (UFP, aerodynamic diameter < 0.1 or 0.18 microm) in the atmospheric environment. We found strong correlations existed between the mass/number concentration of UFP and the mass concentration of PM(2.5) (aerodynamic diameter < 2.5 microm) by fitt...

an attempt was made to develop a method for sizing stable riprap around bridge piers based on a huge amount of experimental data, which is available in the literature. all available experimental data for circular as well as round-nose-and-tail rectangular piers were collected. the data for rectangular piers, with different aspect ratios, aligned with the flow or skewed at different angles to th...

assessment of the correlation between rock brittleness and rock fracture toughness has been the subject of extensive research works in the recent years. unfortunately, the brittleness measurement methods have not yet been standardized, and rock fracture toughness cannot be estimated satisfactorily by the proposed indices. in the present study, statistical analyses are performed on some data col...

using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don&apos;t need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...

Previous empirical research has shown that Mexico's Oportunidades program has succeeded in increasing schooling and improving health of disadvantaged children. This paper studies the program's potential longer-term consequences for the poverty and inequality of these children. It adapts methods developed in DiNardo, Fortin and Lemieux (1996) and incorporates existing experimental estimates of t...

Article history: Received 25 August 2015 Received in revised form 17 November 2015 Accepted 17 November 2015 Available online 18 November 2015 Law is a powerful tool for combatting public health issues. This article reviews existing empirical research on the effect of eight legal levers on outcomes related to child maltreatment. Laws created with the intent to address child maltreatment are oft...