On the stability of difference schemes
โ Scribed by Peter D. Lax; Burton Wendroff
- Publisher
- John Wiley and Sons
- Year
- 1962
- Tongue
- English
- Weight
- 316 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove two new criteria for the sufficiency of the von Neumann condition for stability of difference schemes. The first criterion is that the von Neumann criterion is sufficient for stability if a finite power of the amplification matrix is a uniformly diagonalizable matrix. The second criterion r
For finite difference schemes of compact forni on noniiniform grids approximating w t h order two-point boiindary value problenia stabilit!-inequulitiea are proved irliicll use ti norm anitlogotis t o the Gprncm-norm in the ease of milltistep niethocts. TIM restilts are appliecl to a nitmber of fini
This paper discusses implementation strategies for second-order ยฎnite dierence discretizations of advection. Purely explicit and implicit methods both have disadvantages, and we consider semi-implicit schemes in which the ยฏux is split into a primary implicit part and a secondary explicit correction.