A procedure is given for reducing nonlinear ordinary differential equations containing exponential and logarithms to systems of polynomial ordinary differential equations. Examples that Maple V release 4 cannot solve, but can solve after the transformations are given.

Callus induced from the leaves of Eucommia ulmoides, a medicinal woody plant, was cultivated to produce a factor capable of enhancing collagen synthesis in animal cells (FECS). However, the callus was too rigid to be divided into small pieces by a hydrodynamic force during the cultivation, which...

A brief review of the semi-classical Monte Carlo method for semiconductor device simulation is given, covering the standard Monte Carlo algorithms, variance reduction techniques, the self-consistent solution, and the physical semiconductor model including band structure and scattering...

The Lissajous transformation is extended to any finite combination of harmonic oscillators and for any resonance mode. An example shows how normalization after a Lissajous transformation leads to a geometric characterization of the reduced phase space.

Recently, Percus derived probabilities and distributions for parallel, i.i.d. random sequences of integers. This was accomplished by considering s given bit locations in each random variable (represented as a predetermined number of bits) in each sequence. These s bits were used to create a new...

We have proved a new rotational sorting algorithm capable of reducing the complexity of data assignment process embedded in the maximum likelihood (ML)-based solution of a multitarget tracking problem from O(N3) of the conventional Hungarian type routines to O(N2) provided that the bearings-only...

Antisolitons traveling on the surface of a nucleus are shown to generate highly deformed shapes. The dynamics is based on solutions of the non-linear Korteweg-de Vries (KdV) equation. The theory is used to model the onset of nuclear fission. Aspects of the dynamics, its relation to fluid...

By using the Fourier method we study the stability of a three-stage finite volume Runge–Kutta time stepping scheme approximating the 2D Euler equations on curvilinear grids. By combining the analytic and numeric stability investigation results we obtain an analytic formula for stability...

The propagation of spiral waves in excitable media with the Belousov–Zhabotinsky reactions in a non-solenoidal, time-independent velocity field is studied numerically as a function of the amplitude and frequency of the velocity. It is shown that the spiral wave is slightly distorted for small...

In the past few decades, the problem of dealing with inadvertently contaminated steel has turned out to be of real importance in several countries. Typically, this problem originates at a foundry which recycles scrap iron: indeed, in several instances it happened that the material to be smelted...