Turbulence is still an unsolved issue with enormous implications in several fields, from the
turbulent wakes on moving objects to the accumulation of heat in the built environment or …

AAA rational approximation has normally been carried out on a discrete set, typically
hundreds or thousands of points in a real interval or complex domain. Here we introduce a …

This work highlights an approach for incorporating realistic uncertainties into scientific
computing workflows based on finite elements, focusing on prevalent applications in …

A theoretical framework for the rational approximation of optical response functions in
resonant photonic systems is introduced. The framework is based on the AAA algorithm and …

In this research, the He‐Laplace algorithm is extended to generalized third order, time‐
fractional, Korteweg‐de Vries (KdV) models. In this algorithm, the Laplace transform is …

We developed a novel autonomously dynamic nonlocal turbulence model for the large and
very large eddy simulation (LES, VLES) of homogeneous isotropic turbulent flows. The …

The AAA algorithm, introduced in 2018, computes best or near-best rational approximations
to functions or data on subsets of the real line or the complex plane. It is much faster and …

The primary goal of this paper is to provide an efficient solution algorithm based on the
augmented Lagrangian framework for optimization problems with a stochastic objective …

In this study, we revisit the spectral transfer model for the turbulent intensity in passive scalar
transport (under large-scale anisotropic forcing), and a subsequent modification to the …

In this work we focus on reducing the wall clock time required to compute statistical
estimators of highly chaotic incompressible flows on high performance computing systems …