An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations *

@inproceedings{PETZOLDtAnEN,
  title={An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations *},
  author={LINDA R. PETZOLDt}
}
  • LINDA R. PETZOLDt
A "quasi-envelope" of the solution of highly oscillatory differential equations is defined. For many problems this is a smooth function which can be integrated using much larger steps than are possible for the original problem. Since the definition of the quasi-envelope is a differential equation involving an integral of the original oscillatory problem, it is necessary to integrate the original problem over a cycle of the oscillation (to average the effects of a full cycle).-This information… CONTINUE READING
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