The analysis of elastic wave propagation and scattering is an important issue in fields such as earthquake engineering, nondestructive testing, and exploration for energy resources. Since the 1980s, the boundary integral equation method has played an important role in the analysis of both forward and inverse scattering problems. For example, Colton and Kress (1998) presented a survey of a vast ...

We report on the synthesis of complexes hav ing two equiva lent redox active 2,5-dimethylazafe rrocenyl entities connected by heteroaryl (heteroaryl = thiophenyl, bithiophenyl and pyridyl) bridges. The new compounds have been investigated by various electrochemical techniques including cyclic voltammetry (CV), differential pulse voltammetry (DPV) and square wave voltammetry (SW) and were found ...

Spherical Harmonic Transforms (SHTs) which are essentially Fourier transforms on the sphere are critical in global geopotential and related applications. Discrete SHTs are more complex to optimize computationally than Fourier transforms in the sense of the well-known Fast Fourier Transforms (FFTs). Furthermore, for analysis purposes, discrete SHTs are difficult to formulate for an optimal discr...

An approach to multi-dimensional smoothing is introduced which is based on a penalized with a modified The choice of penalty stanaard multi-dim~nsiQnal.Lapladan SQ11aI'e errQrcharacteristics at-least on the interior of hyper-rectangular~omains, which has wide restorationproblems,computar tions are carried out using fast Fourier transforms. Non-linear smoothing is accomplished by iterative appli...

This paper introducesnew techniques for the eecient computationof Fourier transforms on symmetric groups and their homogeneous spaces. We replace the matrix multiplications in Clausen's algorithm with sums indexed by combinatorial objects that generalize Young tableaux, and write the result in a form similar to Horner's rule. The algorithm we obtain computes the Fourier transform of a function ...