Abstract
Stability properties of linear multistep methods for delay differential equations with respect to the test equation [formula omitted] 0 < λ <1, are investigated. It is known that the solution of this equation is bounded if and only if ∣a∣ < -b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 447-458 |
| Number of pages | 12 |
| Journal | International Journal of Mathematics and Mathematical Sciences |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1986 |
| Externally published | Yes |
Keywords
- Linear multistep method
- delay differential equation
- stability analysis
ASJC Scopus subject areas
- Mathematics (miscellaneous)