We present analytic estimates for the energy levels of N electrons (N = 2−5) in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the confinement plane. The relevant scaled energy is shown to be a smooth function of the parameter β=(effective Rydberg/effective dot energy)1/6. Two-point Pade approximants are obtained from the series expansions of the energy ...

The cluster-variation-Pade-approximant method is a recently proposed tool, based on the extrapolation of low- and high-temperature results obtained with the cluster-variation method, for the determination of critical parameters in Ising-like models. Here the method is applied to the three-dimensional simple cubic Ising model, and new results, obtained with an 18-site basic cluster, are reported...

Configuration space Faddeev equations are applied to describe the ΛBe hypernucleus in the ααΛ cluster model. For calculation of resonance state energies a variant of the method of analytical continuation in coupling constant is used. To realize this method, an auxiliary three-body potential is added to the Hamiltonian of the equations. A proper choice of strength parameter of the potential conv...

We develop a perturbation expansion for the solution of the nonlinear one-dimensional free-electron laser equations. For a monochromatic wave, the radiation field is expanded in a Taylor series having a finite radius of convergence. Analytic continuation using Pade′ approximates yields accurate results well into the saturation regime. We also formulate the perturbation expansion for finite band...

In this paper, we studythe option pricing problem,one of the prominent and challenging problems in computational finance. Using Pade approximation,we have developed a second order L0 stable discrete parallel algorithm for experimentation on advanced architectures. This algorithm is suitable for more complicated option pricing problems. For simulation purposes, we have implemented thesequential ...

The switch-like character of the dynamics of genetic regulatory networks has attracted much attention from mathematical biologists and researchers on hybrid systems alike. We extend our previous work on a method for the qualitative analysis of hybrid models of genetic regulatory networks, based on a class of piecewise-affine differential equation (PADE) models, in two directions. First, we pres...

; The Pade approximant problem is related to a (not necessarily orthogonal) projection of a linear functional equation of the Fredholni type. If the kernel is of trace class and its upper Hessenberg form is tridiagonal (this class includes Hermitian operators), then we prove that not only do the diagonal Pade' appioximants converge, but so do their numerators and denominators separately. The ge...