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APPLICATIONS OF THE WEIGHTED SCHEME FOR GNLS EQUATIONS IN SOLVING SOLITON SOLUTIONS
Zhang, Tiande,Cao, Qingjie,Price, G.W.,Djidjeli, K.,Twizell, E.H. 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
Soliton solutions of a class of generalized nonlinear evo-lution equations are discussed analytically and numerically which is achieved using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical dolutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations. The characteristic behavior of the nonlinear-ity admitted in the system has been investigated and the soliton state of the system in the limit of $\alpha\;\longrightarrow\;0$ and $\alpha\;\longrightarrow\;\infty$ has been studied. The results presented show that soliton phenomena are character-istics associated with the nonlinearities of the dynamical systems.
Single-Cell Genomics Reveals Organismal Interactions in Uncultivated Marine Protists
Yoon, H. S.,Price, D. C.,Stepanauskas, R.,Rajah, V. D.,Sieracki, M. E.,Wilson, W. H.,Yang, E. C.,Duffy, S.,Bhattacharya, D. American Association for the Advancement of Scienc 2011 Science Vol.332 No.6030
<P>Whole-genome shotgun sequence data from three individual cells isolated from seawater, followed by analysis of ribosomal DNA, indicated that the cells represented three divergent clades of picobiliphytes. In contrast with the recent description of this phylum, we found no evidence of plastid DNA nor of nuclear-encoded plastid-targeted proteins, which suggests that these picobiliphytes are heterotrophs. Genome data from one cell were dominated by sequences from a widespread single-stranded DNA virus. This virus was absent from the other two cells, both of which contained non-eukaryote DNA derived from marine Bacteroidetes and large DNA viruses. By using shotgun sequencing of uncultured marine picobiliphytes, we revealed the distinct interactions of individual cells.</P>
CONVEXITY CONTROL AND APPROXIMATION PROPERTIES OF INTERPOLATING CURVES
Qi, Duan,Chen, Tzer-Shyong,Djidjeli, K.,Price, W.G.,Twizell, E.H. 한국전산응용수학회 2000 Journal of applied mathematics & informatics Vol.7 No.2
A constrained rational cubic spline with linear denominator was constructed in [1]. In the present paper, the sufficient condition for convex interpolation and some properties in error estimation are given.