Splitting spunlaid composite filament is a most significant technique to manufacture nonwoven with microfibers. The splitting effect of composite filament is a direct impact on the performance of the final products. The paper summarizes present methods of splitting composite fibers at home or abroad, and the principle and characteristic of each method is also described in order to discuss the m...

We discuss iterative operator-splitting methods for convection-diffusion and wave equations motivated from the eigenvalue problem to decide the splitting process. The operator-splitting methods are well-know to solve such complicated multi-dimensional and multi-physical problems. Often the problem, how to decouple the underlying operators, is not understood well enough. We propose a method base...

We show that an outer automorphism acts loxodromically on the cyclic splitting complex if and only if it has a filling lamination and no generic leaf of the lamination is carried by a vertex group of a cyclic splitting. This is the analog for the cyclic splitting complex of HandelMosher’s theorem on loxodromics for the free splitting complex. We also show that such outer automorphisms have virt...

In this paper we study the convergence behaviour and geometric properties of Strang splitting applied to semilinear evolution equations. We work in an abstract Banach space setting that allows us to analyse a certain class of parabolic equations and their spatial discretizations. For this class of problems, Strang splitting is shown to be stable and second-order convergent. Moreover, it is show...

This paper introduces three new types of combinatorial designs, which we call external difference families (EDF), external BIBDs (EBIBD) and splitting BIBDs. An EDF is a special type of EBIBD, so existence of an EDF implies existence of an EBIBD. We construct optimal splitting A-codes by using EDF. Then we give a new bound on the number of shares required in robust secret sharing schemes (i.e.,...

Let m and t be positive integers with t ≥ 2. An (m, t)-splitting system is a pair (X,B) where |X| = m and B is a collection of subsets of X called blocks, such that, for every Y ⊆ X with |Y | = t, there exists a block B ∈ B such that |B ∩ Y | = ⌊ t 2 ⌋ . An (m, t)-splitting system is uniform if every block has size ⌊ m 2 ⌋ . In this paper, we give several constructions and bounds for splitting ...