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Mathematics of Computation

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Linear multistep methods for functional-differential equations

Author: Maarten de Gee
Journal: Math. Comp. 48 (1987), 633-649
MSC: Primary 65Q05
MathSciNet review: 878696
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Abstract: A new way to define linear multistep methods for functional differential equations is presented, and some of their properties are analyzed. The asymptotic behavior of the global discretization error is investigated. Finally, Milne’s device is generalized to functional differential equations. The effect of the nonsmoothness of the exact solution is taken into account.

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Keywords: Functional differential equations, delay differential equations, linear multistep methods, predictor-corrector methods, Milne’s device
Article copyright: © Copyright 1987 American Mathematical Society