Spectral Methods Fundamentals in Single Domains /

• Main Authors: Canuto, Claudio (Author), Hussaini, M. Youssuff (Author), Quarteroni, Alfio (Author), Zang, Thomas A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Scientific Computation,
• Subjects: Physics.; Computer mathematics.; Continuum physics.; Fluids.; Fluid mechanics.; Classical Continuum Physics.; Numerical and Computational Physics.; Computational Mathematics and Numerical Analysis.; Mathematical Methods in Physics.; Engineering Fluid Dynamics.; Fluid- and Aerodynamics.

Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and prac...

Table of Contents:

• Polynomial Approximation
• Basic Approaches to Constructing Spectral Methods
• Algebraic Systems and Solution Techniques
• Polynomial Approximation Theory
• Theory of Stability and Convergence
• Analysis of Model Boundary-Value Problems
• Erratum.