Abstract
We consider the linear Lotka-McKendrick equation and discuss in detail how to solve the problem of the breakdown of the usual finite-difference methods when the mortality is unbounded. Usual error bounds require some derivative of the mortality rate to be bounded across all ages. Our approach works for a model class of mortality rates, and we show that not all methods are compatible with any mortality function.
Original language | English (US) |
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Pages (from-to) | 245-254 |
Number of pages | 10 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 136 |
Issue number | 1-2 |
DOIs | |
State | Published - Nov 1 2001 |
Externally published | Yes |
Keywords
- Age structure
- Numerical method
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics