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Corpus ID: 119658172

A characteristics-based approximation for wave scattering from an arbitrary obstacle in one dimension

@article{George2019ACA,
title={A characteristics-based approximation for wave scattering from an arbitrary obstacle in one dimension},
author={J. George and D. Ketcheson and R. LeVeque},
journal={arXiv: Analysis of PDEs},
year={2019}
}

The method of characteristics is extended to solve the Cauchy problem for linear hyperbolic PDEs in one space dimension with arbitrary variation of coefficients. In the presence of continuous variation of coefficients, the number of characteristics that must be dealt with is uncountable. This difficulty is overcome by writing the solution as an infinite series in terms of the number of reflections involved in each characteristic path. We illustrate an interesting combinatorial connection… Expand