We describe briefly how a third-orderWeighted Essentially Nonoscillatory (WENO) scheme is derived by coupling aWENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3. We perform a spectral analysis of its dispersive and dissipative propertieswhenused to approximate the 1D linear advection equation anduse a technique of optimisation to find the optimal ...

We derive here a simplified discrete one-dimensional (1D) model describing the main features of shock waves. In order to avoid expensive multidimensional simulations, 1D models are commonly used, but the existing ones often exhibit some spurious physically irrelevant behavior. Here we build a 1D model with perturbations arising from mean higher-dimensional behavior. The coupling of the system w...

Let S = Sym(Ω) be the group of all permutations of an infinite set Ω. Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n such that every element of S may be written as a group word, respectively a monoid word, of length ≤ n in the elements of U. Some related questions are n...

Here, we report the whole-genome sequence of Bacillus subtilis strain DKU_NT_01 isolated from traditional Korean food containing soybean (chung-gook-jang). The de novo genome of Bacillus subtilis strain DKU_NT_01 has one contig and G+C content of 55.4%, is 4,954,264 bp in length, and contains 5,011 coding sequences (CDSs).

Electron-phonon interactions of free charge-carriers in doped pi-conjugated polymers are conceptually described by 1-dimensional (1D) delocalization. Thereby, polaronic transitions fit the 1D-Froehlich model in quasi-confined chains. However, recent developments in conjugated polymers have diversified the backbones to become elaborate heterocylcic macromolecules. Their complexity makes it diffi...

This paper introduces a novel ansatz-based technique for solution of the Hubbard model over two length scales. Short range correlations are treated exactly using a dynamical cluster approximation QMC simulation, while longer-length-scale physics requiring larger cluster sizes is incorporated through the introduction of the fluctuation exchange (FLEX) approximation. The properties of the resulti...

An experiment is presented to determine (3)J(HNHalpha) coupling constants, with significant advantages for applications to unfolded proteins. The determination of coupling constants for the peptide chain using 1D (1)H, or 2D and 3D (1)H-(15)N correlation spectroscopy is often hampered by extensive resonance overlap when dealing with flexible, disordered proteins. In the experiment detailed here...

We study 2+1D toroidal compactifications of M-theory with twists in the U-duality group. These compactifications realize many symmetric-manifolds from the classification of 2+1D extended supergravity moduli-spaces. We then focus on the moduli-space SU(2, 1)/U(2) obtained by dimensional reduction of pure N = 2 supergravity in 3+1D. This space is realized with an explicit example. Assuming that t...