Dispersion analysis and comparative study of Coifman scaling function based S-MRTD

A detailed analysis and comparative study of a finite difference numerical scheme (of the S-MRTD type) based on Coifman scaling functions (coiflets) of various degrees is presented in this paper. The smoothness properties of the Coifman basis functions provide for highly linear dispersion behavior of the resulting numerical scheme. In addition, the fact that coiflets are compactly supported adds to the numerical efficiency of the method. A comparison with Daubechies and Battle-Lemarie function based S-MRTD reveals a number of advantages in the use of coiflets as a basis for the formulation of S-MRTD schemes, while their overall performance is deemed similar to the former and better than the latter.