Fast-multipole and precorrected-FFT accelerated iterative methods have substantially improved the eeciency of Method-of-Moments (MOM) based 3-D electromagnetic analysis programs. In this paper we present a novel second-kind integral formulation and discretization approach for electrostatic analysis, as well as a projection technique for electroquasistatic analysis. We show that when these new a...

Near threshold neutral pion electroproduction on the deuteron is studied in the framework of baryon chiral perturbation theory at next–to–leading order in the chiral expansion. We develop the multipole decomposition for pion production off spin-1 particles appropriate for the threshold region. The existing data at photon virtuality k = −0.1GeV can be described satisfactorily. Furthermore, the p...

We present a matrix interpretation of the three-dimensional fast multipole method (FMM). The FMM is for efficient computation of gravitational/electrostatic potentials and fields. It has found various applications and inspired the design of many efficient algorithms. The one-dimensional FMM is well interpreted in terms of matrix computations. The threedimensional matrix version reveals the unde...

Article history: Received 31 March 2009 Received in revised form 17 August 2009 Accepted 26 August 2009 Available online 6 September 2009

The van der Waals interaction is a weak, long-range correlation, arising from quantum electronic charge fluctuations. This interaction affects many properties of materials. A simple and yet accurate estimate of this effect will facilitate computer simulation of complex molecular materials and drug design. Here we develop a fast approach for accurate evaluation of dynamic multipole polarizabilit...

A phenomenological schematic model of multipole giant resonances (GR) is considered which treats the external interaction via common decay channels on the same footing as the coherent part of the internal residual interaction. The damping due to the coupling to the sea of complicated states is neglected. As a result, the formation of GR is governed by the interplay and competition of two kinds ...