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SPECTRAL METHODS WITH POSTPROCESSING FOR NUMERICAL HYPERBOLIC HEAT TRANSFER

Under the governing equations of hyperbolic heat transfer, energy propagates through a medium as a wave with sharp discontinuities at the wave front. The use of spectral methods to solve such problems numerically results in a solution in which strong numerical oscillations are present due to the Gibbs-Wilbraham phenomenon. It is demonstrated that a spectrally accurate solution can still be obtained via a postprocessing technique.