Abstract
In this paper Adams type methods for the special case of neutral functional differential equations are examined. It is shown that k-step methods maintain order k+1 for sufficiently small step size in a sufficiently smooth situation. However, when these methods are applied to an equation with a "non-smooth" solution the order of convergence is only one. Some computational considerations are given and numerical experiments are presented.
Original language | English (US) |
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Pages (from-to) | 221-230 |
Number of pages | 10 |
Journal | Numerische Mathematik |
Volume | 39 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1982 |
Externally published | Yes |
Keywords
- Subject Classifications: AMS(MOS): 65L05, CR: 5.17
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics