Timeline for Who introduced the notion of "stability" in numerical analysis?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Jan 31, 2014 at 12:20 | history | edited | András Bátkai | CC BY-SA 3.0 |
maintenance edit: added links to references (partly from comments, thanks for that).
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| Sep 4, 2011 at 23:05 | vote | accept | András Bátkai | ||
| Sep 4, 2011 at 20:18 | answer | added | Carlo Beenakker | timeline score: 18 | |
| Sep 3, 2011 at 7:41 | comment | added | András Bátkai | Well, maybe I was not clear enough because I do not know the subject well. Specifically, my motivation was the concept in the Lax equivalence theorem. Clearly, someone must have introduced the notion of stability for a finite difference scheme well before, probably based on CFL. Who and where? | |
| Sep 3, 2011 at 7:37 | history | edited | Andrew |
edited tags
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| Sep 3, 2011 at 6:38 | comment | added | J. M. isn't a mathematician | Wait... are you considering the stability of a numerical algorithm, or some other more specialized concept of stability? | |
| Sep 2, 2011 at 22:26 | comment | added | András Bátkai | Will, thanks. It is great to have this paper, and I should have found it myself... A note: Du Fort and Frankel in this paper: ams.org/journals/mcom/1953-07-043/S0025-5718-1953-0059077-7 introduces the notion of stability/instability referring to the CFL condition. This seems to show me that maybe it was not operator theory what motivated this notion. | |
| Sep 2, 2011 at 22:07 | comment | added | Will Jagy | The original German CFL is available at resolver.sub.uni-goettingen.de/purl?GDZPPN002272636 which I found off en.wikipedia.org/wiki/… but as the wikipedia article does not use the word stability anywhere one must wonder. Is there only one notion of stability in numerical analysis, or, more to the point, is there one obvious notion of stability that comes from the operator theory direction? | |
| Sep 2, 2011 at 20:29 | history | asked | András Bátkai | CC BY-SA 3.0 |