Applications of Padé Approximation to Numerical Integration

On Padé Approximation of Some Practical Functions

Approximation of the Stieltjes Integral and Applications in Numerical Integration

Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications for the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.

Robust Padé Approximation via SVD

Padé approximation is considered from the point of view of robust methods of numerical linear algebra, in particular the singular value decomposition. This leads to an algorithm for practical computation that bypasses most problems of solution of nearly-singular systems and spurious pole-zero pairs caused by rounding errors; a Matlab code is provided. The success of this algorithm suggests that...

on padé approximation of some practical functions

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Comparison of the Padé approximation method to perturbative QCD calculations.

We present a method of estimating perturbative coefficients in Quantum Field Theory using Padé Approximants. We test this method on various known QCD results, and find that the method works very well. ? Work supported by the Department of Energy, contract DE–AC03–76SF00515. † To appear in Phys. Rev. Lett. By using the first n coefficients in a series expansion, we have estimated the (n+ 1)-st p...