TY  - BOOK
AU  - Mercier,Bertrand
ED  - SpringerLink (Online service)
TI  - An Introduction to the Numerical Analysis of Spectral Methods
T2  - Lecture Notes in Physics,
SN  - 9783540461586
AV  - QC5.53 
U1  - 530.15 23
PY  - 1989///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Physics
KW  - Numerical analysis
KW  - Mathematical physics
KW  - Fluids
KW  - Engineering mathematics
KW  - Mathematical Methods in Physics
KW  - Numerical and Computational Methods
KW  - Appl.Mathematics/Computational Methods of Engineering
KW  - Numerical Analysis
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0020591
ER  -