We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol
oscillator, obtaining the numerical coefficients of the series for the period and for the …

In this paper, we suggest a method for solving Fredholm integral equation of the first kind
based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first …

Abstract The Petrov–Galerkin ultraspherical polynomial/Chebyshev polynomial
discretization of the highest derivative of a differential equation is a diagonal matrix. The …

We present examples of two functions that are analytic on the interval [− 1, 1] and satisfy the
condition that, for any n= 2, 3,…, the first of them does not have nonlinear Padé-Chebyshev …

1.1. Аппроксимации Паде–Чебышёва являются одним из наиболее естественных
обобщений классических аппроксимаций Паде степенного ряда (см. прежде всего [1] и …

In this paper, relying on known results on consistent Hermite-Pad\'e approximations of a
system of trigonometric series, sufficient conditions are found under which linear Hermite …

Abstract Laurent Padé-Chebyshev rational approximants, A m (z, z− 1)/B n (z, z− 1), whose
Laurent series expansions match that of a given function f (z, z− 1) up to as high a degree in …

This thesis is concerned with the least-squares approximation of discrete data that appear to
exhibit asymptotic behaviour. In particular, we consider using rational functions as they are …

Pade–Chebyshev approximation of Clenshaw–Lord type with method of moments is
proposed for wide‐band analysis of an arbitrary‐shaped perfect electric conductor structure …

[AGR93] Gregory S. Ammar, William B. Gragg, and Lothar Reichel. An analogue for Szego
polynomials of the Clenshaw algorithm. Journal of Computational and Applied Mathematics …