It is shown that no stable procedure for approximating functions from equally spaced
samples can converge exponentially for analytic functions. To avoid instability, one must …

The goal of this book is to teach the art of finding the root of a single algebraic equation or a
pair of such equations. We shall quote theorems and theory as necessary, but this is not …

This paper firstly presents numerical analyses of functionally graded porous plates/shells
with graphene platelets (GPLs) reinforcement using a novel four-node quadrilateral element …

This paper presents an efficient bandgap analysis method for metamaterial structures based
on variational principle and linear expression technique. This is in view of the challenges in …

We propose AAA rational approximation as a method for interpolating or approximating
smooth functions from equispaced samples. Although it is always better to approximate from …

When a function f(x) is holomorphic on an interval x∈a,b, its roots on the interval can be
computed by the following three-step procedure. First, approximate f(x) on a,b by a …

Abstract Binary Collision Approximation (BCA) codes for ion-material interactions, such as
SRIM, Tridyn, F-TRIDYN, and SDtrimSP, have historically been limited to screened Coulomb …

Accurate prediction of residual stress has significant impacts on structural fatigue and long-
term performance. Eigenstrain reconstruction emerges as a competitive method for residual …

Echocardiography is an important imaging modality in daily clinical practices. Lack of image
quality and limited number of frames per second are the major problems of this modality …

In this paper, assuming porosity varies only along thickness direction, its optimal
distributions in functionally graded porous (FGP) beams are tailored. Two multi-objective …