Polycrystalline materials exhibit physical properties that are driven by both the interatomic crystallographic structure as well nature and density of structural defects. Crystallographic evolutions phase transitions associated twinning process can be observed in situ three-dimensional (3D) using monochromatic synchrotron radiation at very high temperatures (over 1000 °C). This paper focuses on...

We compute the rst N coeecients of the reciprocal r(x) of a given polynomial p(x), (r(x)p(x) = 1 mod x N , p(0) 6 = 0), by using, under the PRAM arithmetic models , O(h log N) time-steps and O((N=h)(1 + 2 ?h log (h) N)) processors, for any h, h = 1; 2; : : : ; log N, provided that O(log m) steps and m processors suuce to perform DFT on m points and that log (0)

In this paper we study a finite volume approximation for the conservative formulation of multiple fragmentation models. We investigate the convergence of the numerical solutions towards a weak solution of the continuous problem by considering locally bounded kernels. The proof is based on the Dunford-Pettis theorem by using the weak L compactness method. The analysis of the method allows us to ...

Conventional data envelopment analysis (DEA) models normally assume all inputs and outputs are real valued and continuous. However in problems some inputs and outputs can only take integer values, also, both desirable and undesirable outputs can be generated . In this paper the effect of undesirable outputs in integer DEA model is discussed. The proposed model distinguishes weak disposability o...