
An Introduction to the Numerical Analysis of Spectral Methods
Bertrand Mercier(Author)
Springer (Publisher)
Published on 23. August 2014
Book
Paperback/Softback
V, 154 pages
978-3-662-13757-4 (ISBN)
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1989
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
1 s/w Abbildung
V, 154 p. 1 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 10 mm
Weight
296 gr
ISBN-13
978-3-662-13757-4 (9783662137574)
DOI
10.1007/BFb0020591
Schweitzer Classification
Other editions
Additional editions
Bertrand Mercier
An Introduction to the Numerical Analysis of Spectral Methods
Book
04/1989
1st Edition
Springer
€85.59
Article exhausted; check different version
Person
Bertrand Mercier is a graduate of the Ecole Polytechnique (class of '68) and holds a doctorate in science. A researcher in applied mathematics at INRIA (Institut National de Recherches en Informatique et Automatique) and Ecole Polytechnique, he has published around 40 papers in scientific journals. He taught 12 years as a lecturer in Ecole Polytechnique. In 1979, he joined CEA/DAM's Centre d'Etudes de Limeil to become head of the Mathematics and Numerical Codes Department. In 1987, he joined EADS as head of the Scientific Software Plan. In 1999, he returned to the Commissariat à l'Energie Atomique (Atomic Energy Commission) as Head of the Mechanical and Thermal Studies Department, then of the Mechanics and Technology Department. He was then appointed Deputy Director of the Saclay Center, Director of Nuclear Protection and Safety at the CEA, and finally Director of Nuclear Activities at Saclay.
Content
Fourier spectral method.- Polynomial spectral methods.