Theory of Stability and Convergence.

Autor: Canuto, Claudio, Hussaini, M. Youssuff, Quarteroni, Alfio, Zang, Thomas A.
Zdroj: Spectral Methods (9783540307259); 2006, p327-399, 73p
Abstrakt: In this chapter we present a fairly general approach to the stability and convergence analysis of spectral methods. We confine ourselves to linear problems. Analysis of several nonlinear problems is presented in Chap. 7 and in CHQZ3, Chap. 3. For time-dependent problems, only the discretizations in space are considered. Stability for fully discretized time-dependent problems is discussed in Appendix D by a classical eigenvalue analysis and in Chap. 7 by variational methods. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index