This book is designed to be used by mathematicians, engineers, and computer scientists as
a graduate-level introduction to numerical analysis and its methods. Readers are expected …

Vandermonde matrices are exponentially ill-conditioned, rendering the familiar “polyval
(polyfit)” algorithm for polynomial interpolation and least-squares fitting ineffective at higher …

One of the major challenges in using distributed learning to train complicated models with
large data sets is to deal with stragglers effect. As a solution, coded computation has been …

An efficient and robust algorithm and a Matlab code ratdisk are presented for rational
interpolation or linearized least-squares approximation of a function based on its values at …

Let f(z) be an analytic or meromorphic function in the closed unit disk sampled at the n th
roots of unity. Based on these data, how can we approximately evaluate f(z) or f^(m)(z) at a …

APPRENTICE is a tool developed for event generator tuning. It contains a range of
conceptual improvements and extensions over the tuning tool Professor. Its core …

Powerful algorithms have recently been proposed for computing eigenvalues of large
matrices by methods related to contour integrals; best known are the works of Sakurai and …

Orthogonal polynomials in two variables on cubic curves are considered. For an integral
with respect to an appropriate weight function defined on a cubic curve, an explicit basis of …

We present two approaches for computing rational approximations to multivariate functions,
motivated by their effectiveness as surrogate models for high-energy physics (HEP) …

This study is devoted to the higher-order finite-difference numerical methods for solving the
pseudo-differential parabolic equation of diffraction theory. The relationship between the …