This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …

In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

In the fourteen years since the second edition of this book appeared, linear integral
equations have continued to be an active area of mathematics and they have revealed more …

Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold
particular importance in recent advances in subjects such as orthogonal polynomials …

In an attempt to introduce application scientists and graduate students to the exciting topic of
positive definite kernels and radial basis functions, this book presents modern theoretical …

Function approximation and interpolation play an essential role in most fields of
computational sciences and engineering, such as data processing and numerical solution of …

This article explores the rich heritage of the boundary element method (BEM) by examining
its mathematical foundation from the potential theory, boundary value problems, Green's …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

This study presents a parallel meshless solver for transient heat conduction analysis of
slender functionally graded materials (FGMs) with exponential variations. In the present …

The radial basis function (RBF) collocation method uses global shape functions to
interpolate and collocate the approximate solution of PDEs. It is a truly meshless method as …