The real-time applicability of the ADREA-I prognostic mesoscale meteorological model was enhanced by applying the preconditioned BiCGSTAB method for the numerical solution of the pressure equation in combination with increasing the magnitude of the time steps up to the values allowed by the Courant number. The ILU, MILU, ILUT and ILUM preconditioning methods with different ordering strategies w...

Several new spectral properties of the normalized Laplacian defined for oriented hypergraphs are shown. The eigenvalue 1 and case duplicate vertices discussed; two Courant nodal domain theorems established; quantities that bound eigenvalues introduced. In particular, Cheeger constant is generalized it shown classical bounds can be some classes hypergraphs; a geometric quantity used to study zon...

An efficient time domain method is needed to analyze problems containing high loss viscoelastic materials with complex geometry. One presently available method for low loss, constant , materials is the finite difference method with memory variables attributed to Carcione et al., and Blanch et al. [2, 5]. In this method, the constitutive relation is approximated by a sum of decaying exponential ...

We define integrable, big-isotropic structures on a manifold M as subbundles E ⊆ T M ⊕ T * M that are isotropic with respect to the natural, neutral metric g of T M ⊕ T * M , closed by Courant brackets and such that, if E ′ is the g-orthogonal bundle, the Courant brackets [X , Y], X ∈ ΓE, Y ∈ ΓE ′ , belong to ΓE ′. We give the interpretation of such a structure by objects of M , we discuss the ...

ertion,” they considered their book to be popular in that it required only “a good high school course” by way of background. And it was a popular book. I remain very fond of it for reasons that are personal as well as objective. As a high school student I had access to numerous algebra and trigonometry books that those of a certain age and British Commonwealth lineage would associate with the s...