In this report we study and compare particular integration methods to solve ordinary differential equations, which are separable in solvable parts. The main source for this work is the article of Blanes and Casas: "On the necessity of negative coefficient for operator splitting schemes of order higher than two", which was published by ELSEVIER in 2004. After a brief introduction and some prelim...

this paper aims to evaluate inventory cost of a two-echelon serial supply chain system under vendor managed inventory program with stochastic demand, and examine the effect of environmental factors on the cost of overall system. for this purpose, we consider a two-echelon serial supply chain with a manufacturer and a retailer. under vendor managed inventory program, the decision on inventory le...

the famous primary and cyclic decomposition theorems along with the tightly related rational and jordan canonical forms are extended to linear spaces of infinite dimensions with counterexamples showing the scope of extensions.

Many systems of equations fit naturally in the form du/dt = A(u) + B(u). We may separate convection from diffusion, x-derivatives from y-derivatives, and (especially) linear from nonlinear. We alternate between integrating operators for dv/dt = A(v) and dw/dt = B(w). Noncommutativity (in the simplest case, of eAh and eBh) introduces a splitting error which persists even in the steady state. Sec...

there is great interest worldwide in discovering and developing a permanent source of tissues which would be capable of generating any cell type and which would avoid the problem of transplant rejection. stem cells are cells that can specialize into the many different cells found in the human body. the ethical objections concerning stem cells have focused primarily on their source. human embryo...

W-beam systems utilize end-terminal anchorages to develop tension upstream and downstream of an impact event. However, the capacities of the anchorage components under impact loading are not well known. One such W-beam end anchorage system, the Midwest guardrail system (MGS) trailing-end anchorage, was evaluated using three dynamic component tests _ a soil foundation tube pull test, a breakaway...

We give a comprehensive treatment on how $F$-signatures, splitting primes, ratios, and test modules behave under finite covers. To this end, we expand the notion of transposability along section relative canonical module as first introduced by K.~Schwede K.~Tucker.

We study the question of routing for minimum average drop rate over unreliable servers that are susceptible to random buffer failures, which arises in unreliable data or manufacturing networks. Interestingly, we first reveal that the traditional Join-the-Shortest-Queue (JSQ) or optimal Randomized Splitting (RS) strategies are consistently outperformed by the Constant Splitting Rule (CSR) where ...

Conjoined twins is a phenomenon believed to be caused by either delayed splitting of the fertilized ovum or fusion of the embryonic stem cells. Disorganization of mutant genes is believed to be a cause in some cases. We report a case of stillborn dicephalus tribrachius female conjoined twins with features that are not reported previously in the literature with a single umbilical artery and two ...