On the zero stability of the variable order variable stepsize BDF- formulas (Q911237)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the zero stability of the variable order variable stepsize BDF- formulas |
scientific article; zbMATH DE number 4141439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the zero stability of the variable order variable stepsize BDF- formulas |
scientific article; zbMATH DE number 4141439 |
Statements
On the zero stability of the variable order variable stepsize BDF- formulas (English)
0 references
1990
0 references
The authors derive bounds for the mesh-size ratios \(h_{j+1}/h_ j\) of nonequidistant grids such that variable order backward differentiation formulas are zero-stable. In the case of 3-step formulas the results of the third author and \textit{P. J. Paes-Lemme} [BIT 24, 85-91 (1984; Zbl 0554.65052)] are substantially improved. Further results are presented for 4- and 5-step formulas. Finally, it is shown that introducing some additional assumptions on the stepsize variation, the stability bounds can be considerably improved.
0 references
variable stepsize
0 references
zero-stability
0 references
nonequidistant grids
0 references
variable order backward differentiation formulas
0 references
stability bounds
0 references
