A novel implicit finite difference method for the one-dimensional fractional percolation equation

In this paper, a novel implicit finite difference method for the one-dimensional fractional percolation equation is proposed. Consistency, stability and convergence of the method are established. Some numerical examples are given. The numerical results demonstrate the effectiveness of theoretical analysis.     

On a multistage discrete stochastic optimization problem with stochastic constraints and nested sampling

Mathematical Programming -     

Cellulosic value-added products from sugarcane bagasse

Cellulose - Sugarcane bagasse (SCB) is a major by-product of the sugarcane industry and one of the most common renewable and sustainable cellulosic materials for various industrial...     

Any nilpotence degree occurs in mod-<Emphasis Type="Italic">p</Emphasis> cohomology rings of <Emphasis Type="Italic">p</Emphasis>-groups

Let p be an odd prime number and let n be an arbitrary positive integer. We prove that there exists a p-group whose mod-p cohomology ring has a nilpotent element H²() satisfying ⁿ0,^n+p–1=0. As a corollary, we exhibit a p-group whose mod-p cohomology ring contains an element of nilpotency degree n+1.Mathematical Subject Classification (2000): 20J06, 20D15, 55R40To Phuong and Nin