๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the stability of difference schemes

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


Sufficient Stability Criteria and Unifor
โœ Boris Yu. Scobelev; Evgenii V. Vorozhtsov ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

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

Some Stability Inequalities for Compact
โœ Rolf Dieter Grigorieff ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 460 KB

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

Accuracy and stability of semi-implicit
โœ Gjesdal, Thor ;Teigland, Rune ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 134 KB

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.