13 research outputs found

    The discrete energy method in numerical relativity: Towards long-term stability

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    The energy method can be used to identify well-posed initial boundary value problems for quasi-linear, symmetric hyperbolic partial differential equations with maximally dissipative boundary conditions. A similar analysis of the discrete system can be used to construct stable finite difference equations for these problems at the linear level. In this paper we apply these techniques to some test problems commonly used in numerical relativity and observe that while we obtain convergent schemes, fast growing modes, or ``artificial instabilities,'' contaminate the solution. We find that these growing modes can partially arise from the lack of a Leibnitz rule for discrete derivatives and discuss ways to limit this spurious growth.Comment: 18 pages, 22 figure

    Mapping of chromosomal loci associated with lipopolysaccharide synthesis and serotype specificity in Vibrio cholerae 01 by transposon mutagenesis using Tn5 and Tn2680

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    Vibrio cholerae strains of the 01 serotype have been classified into three subclasses, Ogawa, Inaba and Hikojima, which are associated with the O-antigen of the lipopolysaccharide (LPS). The DNA encoding the biosynthesis of the O-antigen, the rfb locus, has been cloned and analysed (Manning et al. 1986; Ward et al. 1987). Transposon mutagenesis of the Inaba and Ogawa strains of V. cholerae, using Tn5 or Tn2680 allowed the isolation of a series of independent mutants in each of these serotypes. Some of the insertions were mapped to the rfb region by Southern hybridization using the cloned rfb DNA as a probe, confirming this location to be responsible for both O-antigen production and serotype specificity. The other insertions allowed a second region to be identified which is involved in V. cholerae LPS biosynthesis.Helena M. Ward and Paul A. Mannin

    Vibrational Spectroscopic Detection of Beta- and Gamma-Turns in Synthetic and Natural Peptides and Proteins

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