On certain improper integrals
On Clenshaws's Method and a Generalisation to Faber Series.
On Computing Reciprocals of Power Series.
On numerical evaluation of integrals involving Bessel functions
On rational approximations to the exponential
On the calculation of elliptic integrals of the second and third kinds
On the computation of Aden functions
The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.
On the computation of Riccati-Bessel functions
The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors.
On the computation of zeros and turning points of Bessel functions
On the Sensitivity of Orthogonal Polynomials to Perturbations in the Moments.
On the Sharpness of Theorems Concerning Zero-Free Regions for Certain Sequences of Polynomials.
Optimization of Rational Approximations by Continued Fractions
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.To get guaranteed machine enclosures of a special function f(x), an upper bound ε(f) of the relative error is needed, where ε(f) itself depends on the error bounds ε(app); ε(eval) of the approximation and evaluation error respectively. The approximation function g(x) ≈ f(x) is a rational function (Remez algorithm), and with sufficiently high polynomial degrees ε(app) becomes...
Padé-Type Approximants of Exp (-z) Whose Denominators Are (1+z/n)n.
Positivity of the Cotes Numbers for some Jacobi Abscissas.
Recurrent evaluation of integrals of the type , with respect to numerical stability
Recursive computation of certain integrals of elliptic type.
Remarks on the evaluation of the Bessel functions from the recurrent formula
Résultat numérique de régularité du problème de Stokes et du laplacien itéré dans un polygone
Series approximations to powers of
Series para e de gran convergenica