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) |
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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)