Abstract:We consider the use of difference methods for weakly nonlinear systems of ordinary differential equations with rapidly oscillating solutions and develop a general approach which depends only on the smoothness of the coefficients and the nonlinearities. In particular, one is led to a strategy which is suitable for the detection and resolution of turning points in such systems. A computational example is presented.
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- © Copyright 1985 American Mathematical Society
- Journal: Math. Comp. 44 (1985), 81-92
- MSC: Primary 65L05; Secondary 34E20
- DOI: https://doi.org/10.1090/S0025-5718-1985-0771032-9
- MathSciNet review: 771032