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An Introduction to the Numerical Analysis of Spectral Methods|Bertrand Mercier

An Introduction to the Numerical Analysis of Spectral Methods

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Overview

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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Details

  • ISBN-13: 9783662137574
  • ISBN-10: 3662137577
  • Publisher: Springer
  • Publish Date: August 2014
  • Dimensions: 9.61 x 6.69 x 0.35 inches
  • Shipping Weight: 0.6 pounds
  • Page Count: 154

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