The goal of this paper is to relate numerical dissipations that are inherited in high order shock-capturing schemes with the onset of wrong propagation speed of discontinuities. For pointwise evaluation of the source term, previous studies indicated that the phenomenon of wrong propagation speed of discontinuities is connected with the smearing of the discontinuity caused by the discretization ...

Systems of convection–diffusion equations model a variety of physical phenomena which often occur in real life. Computing the solutions of these systems, especially in the convection dominated case, is an important and challenging problem that requires development of fast, reliable and accurate numerical methods. In this paper, we propose a second-order fast explicit operator splitting (FEOS) m...

An explicit finite-volume solver is proposed for numerical simulation of non-hydrostatic atmospheric dynamics with promise for efficiency on massively parallel machines via low communication needs and large time steps. Solving the governing equations with a single stage lowers communication, and using the method of characteristics to follow information as it propagates enables large time steps....

Abstract In this paper we characterize all subspaces of analytic functions in finitely generated shift-invariant spaces with compactly supported generators and provide explicit descriptions their elements. We illustrate the differences between our characterizations Strang-Fix or zero conditions on several examples. Consequently, depict by scalar vector subdivision masks bounded unbounded suppor...

the corresponding one ef neonicotinoids indicated that the latter was far deshielded as compared with the forrner. The result implies that the unsharcd electron pair on the concerned nitrogcn atom is delocalized by the presencc of strang electTon-withdrawing group and the nitrogen atom becomes partially positivc. Such nitrogen is enough to interact with the insect nAChR, but not with the verteb...

A complete characterization is given of closed shift-invariant subspaces of L2(Rd) which provide a specified approximation order. When such a space is principal (i.e., generated by a single function), then this characterization is in terms of the Fourier transform of the generator. As a special case, we obtain the classical Strang-Fix conditions, but without requiring the generating function to...

consumption and problems among the Irish in London: A preliminary comparison of pub drinkers in London and Dublin, (Author postprint) in Addiction Research & Theory, 12(4), 373-384 , [Accessed: (date) from www.drugsandalcohol.ie] 1 Note: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Addiction Research & Theory following peer review. The definitive pub...

The local approximation order from a scale (Sh) of approximating functions on IR m is characterized in terms of the linear spac (and its Fourier transform) of the finitely many compactly supported functions φ whose integer translates φ(· − j), j ∈ ZZ, span the space S = S1 from which the scale is derived. This provides a correction of similar results stated and proved, in part, by Strang and Fi...