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Multitime Methods for Systems of Difference Equations
Author(s) -
Hoppensteadt Frank C.,
Miranker Willard L.
Publication year - 1977
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1977563273
Subject(s) - constructive , mathematics , nonlinear system , differential equation , numerical partial differential equations , population , mathematical analysis , numerical analysis , computer science , physics , demography , process (computing) , sociology , operating system , quantum mechanics
Systems of difference equations containing small parameters are studied by a constructive perturbation scheme analogous to the one developed by the authors for the study of differential equations. The method results in an averaging procedure for difference equations, and it is particularly well suited to certain highly oscillatory, nonlinear systems. The method is applied to problems from population genetics, pattern recognition, and the numerical analysis of stiff differential equations