Title: An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)
Description: This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev's. The author gives rigorous proofs of fundamental results related to one-dimensional advection and diffusions equations. The book addresses students as well as practitioners of numerical analysis.
Subjects: Numerical analysis, Fluids, Physics, Mathematical physics, Engineering mathematics, Mathematical Methods in Physics, Numerical and Computational Methods, Appl.Mathematics/Computational Methods of Engineering