arXiv subjects

Gareth Hegarty

Publications and source records attributed to Gareth Hegarty.

2 recordsLinked to original sources

arXiv2025

On the Jacobi formula for Bivariate Pade Approximants of Rectangular Type

In this paper a recursive algorithm is presented for evaluating multivariate Pad\'e approximants (of the rectangular type described in the work of Lutterodt) which is analogous to the Jacobi formula for univariate Pad\'e approximants. This algorithm is then applied to a (singular) Riccati differential equation to generate fast and accurate approximate solutions.

math.NA↗

arXiv2025

Calculation of Univariate Pade Approximants for solutions of the Michaelis-Menten equation with first order input using the Tau method

In this paper the Jacobi formula is used to recursively generate (diagonal) univariate Pade approximants using the Tau method for solutions Michaelis-Menten equation with first order input. In the algorithm the Jacobi coefficients and error terms in the Tau method are postulated to have a particular form, and this form is maintained by specific patterns of cancellations.

math.NA↗