In ([10], JCP 227 No. 6, 2008, pp. 3101–3211), the authors have designed a new fifth order WENO finite-difference scheme by adding a higher order smoothness indicator which is obtained as a simple and inexpensive linear combination of the already existing low order smoothness indicators. Moreover, this new scheme, dubbed as WENO-Z, has a CPU cost which is equivalent to the one of the classical ...

In this report we describe how the tactile smoothness of shaven beards depends on the distribution of the stubble lengths remaining after shaving and on various skin parameters like coarseness and scaliness. To this end, we set up two experiments on perceived smoothness with blinded human judges. In the first experiment we used artificial beards with various stubble length distributions and stu...

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We present some sufficient conditions for which a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W∗-convexity, and the coefficient R 1, X , which generalized some well-known results. Furthermore the relationship between modulus of convexity, modulus of smoothness, and Gao’s constant is considered, meanwhile the exact value of Milman modulus has been obtai...

We consider density deconvolution with zero-mean Laplace noise in the context of an error component regression model. adapt minimax methods Meister (2006) to allow estimation unknown variance. propose a semi-uniformly consistent estimator for ordinary-smooth target and modified "variance truncation device” provide simulation study practical guidance choice smoothness parameters density. apply r...

Quasi-Monte Carlo (QMC) methods are equal weight quadrature rules to approximate integrals over the unit cube with respect uniform measure. In this paper we discuss QMC integration general product measures defined on an arbitrary hyperrectangle. We only require that cumulative distribution function is invertible. develop a worst-case error bound and study dependence of number points dimension f...