Abstract
In this paper stability properties of one-step methods for neutral functional-differential equations are investigate. Stability regions are characterized for Runge-Kutta methods with respect to the linear test equation {Mathematical expression} τ>0, where, a, b, and c are complex parameters. In particular, it is shown that every A-stable collocation method for ordinary differential equations can be extended to a method for neutrals delay-differential equations with analogous stability properties (the so called NP-stable method). We also investigate how the approximation to the derivative of the solution affects stability properties of numerical methods for neutral equations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 605-619 |
| Number of pages | 15 |
| Journal | Numerische Mathematik |
| Volume | 52 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 1 1988 |
Keywords
- Subject Classifications: AMS(MOS): 65L20, CR: G1.7
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics