Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations
- 1 April 1986
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 23 (2) , 423-452
Abstract
The theory of quasilinear multistep methods and predictor–corrector methods for neutral functional differential equations is developed. The theorem about the asymptotic behaviour of the global discretization error of quasilinear methods, which forms a theoretical basis for step control strategy for predictor–corrector methods for neutral equations, is given. Some problems of implementation of these methods are also addressed, and the results of numerical experiments are presented.Keywords
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