Difference methods for problems with different time scales

Scheid, Robert E.

doi:10.1090/S0025-5718-1985-0771032-9

Difference methods for problems with different time scales
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Math. Comp. 44 (1985), 81-92 Request permission

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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