An averaging method for the stiff highly oscillatory problem

Miranker, W. L.; Wahba, G.

doi:10.1090/S0025-5718-1976-0423817-0

An averaging method for the stiff highly oscillatory problem
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by W. L. Miranker and G. Wahba PDF

Math. Comp. 30 (1976), 383-399 Request permission

Abstract:

We show how to replace the point functionals of numerical analysis with types of stable functionals of highly oscillatory solutions of differential equations. This replacement leads to the development of effective numerical methods for the stiff highly oscillatory problem.

References

Survey of Stiff Ordinary Differential Equations

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On the Numerical Treatment of Stiff, Highly Oscillatory Systems