A spectral method is developed for the direct solution of linear ordinary differential equations
with variable coefficients and general boundary conditions. The method leads to matrices …

An efficient algorithm for the accurate computation of Gauss--Legendre and Gauss--Jacobi
quadrature nodes and weights is presented. The algorithm is based on Newton's root …

The misalignment and displacement of inductively coupled coils in a wireless power transfer
system (WPT) can degrade the power efficiency and limit the amount of power that can be …

An object-oriented MATLAB system is described that extends the capabilities of Chebfun to
smooth functions of two variables defined on rectangles. Functions are approximated to …

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 …

In this book we have attempted to integrate a reasonably rigorous mathematical treatment of
elementary numerical analysis with motivating examples and applications as well as some …

A computational method based on Chebyshev series to rigorously compute solutions of
initial and boundary value problems of analytic nonlinear vector fields is proposed. The idea …

A method for solving delay Volterra integro-differential equations is introduced. It is based on
two applications of linear barycentric rational interpolation, barycentric rational quadrature …

The tempered fractional diffusion equation is a generalization of the standard fractional
diffusion equation that includes the truncation effects inherent to finite-size physical …

The closest point method for solving partial differential equations (PDEs) posed on surfaces
was recently introduced by Ruuth and Merriman J. Comput. Phys., 227 (2008), pp. 1943 …