When discounts are tiered, it is possible to buy more than one needs yet pay less? When is it impossible?
The paper Spectral Methods for Hyperbolic Problems by Gottlieb and Hesthaven highlights some methods to address the disadvantages of spectral methods when applied to hyperbolic problems. This end-semester project reproduces the results by implementing those techniques, and also tries to explain their working. Although the discussion sticks to Fourier expansions, the techniques apply to general spectral methods.