IEEE

Relaxed Nonlinear Vector Fitting for Calculation of Rational Approximation of Systems Defined by Input/Output Responses in the Frequency Domain

Abstract: The so-called non-linear vector fitting (NL-VF) technique was recently introduced as a new method for rational function approximation in the frequency domain (FD). While the classical vector ...
JSTOR Daily

On Spectral Approximations Using Modified Legendre Rational Functions: Application to the Korteweg-de Vries Equation on the Half Line

A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...
JSTOR Daily

An Efficient Spectral Method for Ordinary Differential Equations with Rational Function Coefficients

We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of ...
IEEE

Methods Based on Rational Function Approximation of Green's Function Spectra

Abstract: In this chapter, the authors describe the rational function fitting method (RFFM) and spectral differential equation approximation method (SDEAM), which shift the burden of numerical ...