We propose a new family of mapped WENO schemes by using several adaptive control functions and smoothing approximation the signum function. The proposed introduce adaptivity admit an extensive permitted range parameters in mapping functions. Consequently, they have capacity to achieve optimal convergence rates, even near critical points. Particularly, one these with fine-tuned illustrates signi...

Modified group projector technique for induced representations is a powerful tool for calculation and symmetry quantum numbers assignation of a tight binding Hamiltonian energy bands of crystals. Namely, the induced type structure of such a Hamiltonian enables efficient application of the procedure: only the interior representations of the orbit stabilizers are to be considered. Then the genera...