Along with finite differences and finite elements, spectral methods are one of the three main
methodologies for solving partial differential equations on computers. This book provides a …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

The aim of this book is to teach you the essentials of spectral collocation methods with the
aid of 40 short MATLAB® programs, or “M-files.”* The programs are available online at …

Publisher Summary This chapter reviews the Maxwell's equations in the time domain and
discusses boundary conditions, various simplifications, and standard normalizations. The …

Barycentric Lagrange Interpolation Page 1 SIAM REVIEW c 2004 Society for Industrial and
Applied Mathematics Vol. 46, No. 3, pp. 501–517 Barycentric Lagrange Interpolation ∗ Jean-Paul …

A software suite consisting of 17 MATLAB functions for solving differential equations by the
spectral collocation (ie, pseudospectral) method is presented. It includes functions for …

The objective of this book is to provide a comprehensive discussion of Fourier and
Chebyshev spectral methods for the computation of incom pressible viscous flows, based on …

Various numerical methods for the solution of linear stability equations for compressible
boundary layers are compared. Both the global and local eigenvalue methods for temporal …

This paper presents a computational technique for optimal control problems including state
and control inequality constraints. The technique is based on spectral collocation methods …

We present a Chebyshev pseudospectral method for directly solving a generic Bolza optimal
control problem with state and control constraints. This method employs Nth-degree …