“…Other approximation methods exist, and they include finite elements, finite volumes, and spectral methods. While there are a number of problems, for example, elliptic systems, which can be solved with low-order approximation methods (second or lower) with reasonable accuracies, there is also a large class of problems, including those of acoustics [1,2,3], and of fluid dynamics [5,6,7,9,13,14], the solutions of which typically require higher order approximation solution schemes for higher levels of accuracy.…”