Problem solving paper decomposition

The type of problem solving illustrated by investigation of the acid decomposition of paper is quite typical of that which a practicing chemist confronts daily. The first step in successful problem solving is to identify the... 

Schematic diagram of the strategy for solving the problem of the acid decomposition of paper.

Explosive decomposition of conventional EMs is based on chemical processes. In spite of this fact, very few authors in the past dealt with, and today are deahng with, the initiation mechanisms from the point-of-view of chemistry. As follows from Sect. 3, most authors of papers published in this field try to solve the problem of micro-initiation by means of quantum chemistry [1,3-5,39,56,60,74,81,85,105,106,109]. The simulations are predominantly restricted to a few selected molecules of energetic substances (NM, RDX, HMX and TATB are the dominating ones) and their crystals [1,3, 5,56,60,74], or in some cases only to hypothetical two-atom molecules [109]. 

In ACM, a Block Triangular Decomposition is applied to the nonlinear equation system before the solution process. The algorithm described in this paper is used to solve the nonlinear blocks arising after the decomposition, hence these will be smaller than the original problem. 

In this example, and for all the five nonlinear blocks solved after the decomposition, only one equation requires to solve the optimization problem because the equation does not have a solution at the given variable values. With the new initial point found with the proposals in this paper, the Newton solver succeeds, while it fails with the original initial point. 

A Decomposition Strategy for Solving Multi-Product, Multi-Purpose Scheduling Problems in the Paper Converting Industry... 

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