Name
Abstract | ||
|---|---|---|
For a linear multistep method applied with a fixed integration steph tox=λx, λ constant, a concept ofAD-stability is defined relative to any domain of the complexq=λh plane. The image of the unit circle, under the mapq=q(z) induced by the characteristic equation, determines a “maximal” stability domainD, even ifq (z) is not univalued or if the image of the unit circle is unbounded. This is proved via degree theory of analytic maps onRiemann surfaces. For a special class of formulae, easy-to-check, sufficient conditions are given forq to belong toD. |
Year | DOI | Venue |
|---|---|---|
1971 | 10.1007/BF02242351 | COMPUTING |
Keywords | DocType | Volume |
linear multistep method,characteristic equation | Journal | 7 |
Issue | ISSN | Citations |
3-4 | 0010-485X | 4 |
PageRank | References | Authors |
1.06 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| farouk odeh | 1 | 4 | 1.06 |
| W. Liniger | 2 | 25 | 28.27 |