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An Introduction to the Numerical Analysis of Spectral Methods

  • Book
  • © 1989

Overview

Authors:
  1. Bertrand Mercier
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Part of the book series: Lecture Notes in Physics (LNP, volume 318)

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About this book

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.

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Table of contents (3 chapters)

  1. Front Matter

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  2. Introduction

    Pages 1-5

  3. Fourier spectral method

    Pages 7-96

  4. Polynomial spectral methods

    Pages 97-152

  5. Back Matter

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