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Corpus ID: 220486679

Dense output for highly oscillatory numerical solutions

@article{Agocs2020DenseOF,
title={Dense output for highly oscillatory numerical solutions},
author={F. Agocs and M. Hobson and W. J. Handley and A. Lasenby},
journal={arXiv: Computational Physics},
year={2020}
}

We present a method to construct a continuous extension (otherwise known as dense output) for a numerical routine in the special case of the numerical solution being a scalar-valued function exhibiting rapid oscillations. Such cases call for numerical routines that make use of the known global behaviour of the solution, one example being methods using asymptotic expansions to forecast the solution at each step of the independent variable. An example is oscode, numerical routine which uses the… CONTINUE READING