This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for DAEs with index 1 or 2. Further, an interpolatory projection-based model order reduction technique using is applied to eddy current problem as well electrical circuit compute a reduced model.

the topological index of a graph g is a numeric quantity related to g which is invariant underautomorphisms of g. the vertex pi polynomial is defined as piv (g)  euv nu (e)  nv (e).then omega polynomial (g,x) for counting qoc strips in g is defined as (g,x) =cm(g,c)xc with m(g,c) being the number of strips of length c. in this paper, a new infiniteclass of fullerenes is constructed. the ...

The authors give convergence theorems for interpolatory product rules for evaluating Cauchy singular integrals and obtain asymptotic estimates of the remainder. Some results, previously established by other authors, are generalized and improved.

Multiresolution schemes within Harten’s framework corresponding to interpolatory techniques are used for image compression. The numerical behavior of the error-control and classical algorithms are compared. Compression properties are demonstrated on various tests.

We analyse the approximation and smoothness properties of fundamental and reenable functions that arise from interpolatory subdivision schemes in mul-tidimensional spaces. In particular, we provide a general way for the construction of bivariate interpolatory reenement masks such that the corresponding fundamental and reenable functions attain the optimal approximation order and smoothness orde...

We propose a new interpolatory framework for model reduction of largescale bilinear systems. The input-output representation of a bilinear system in frequency domain involves a series of multivariate transfer functions, each representing a subsystem of the bilinear system. If a weighted sum of these multivariate transfer functions associated with a reduced bilinear system interpolates a weighte...

BackgroundEndotracheal intubation is a common lifesaving procedure. An in situ endotracheal tube (ETT) must be secured position to avoid displacement and potentially life-threatening complications. Adhesive tapes form the most intraoperative ETT stabilization methods. Limited published data are available guide clinical decision regarding taping method. We performed an interventional study aimin...

A class of local nonlinear stationary subdivision schemes that interpolate equidistant data and that preserve monotonicity in the data is examined. The limit function obtained after repeated application of these schemes exists and is monotone for arbitrary monotone initial data. Next a class of rational subdivision schemes is investigated. These schemes generate limit functions that are continu...