  We develop and analyze quadrature blending schemes that minimize the
dispersion error of isogeometric analysis up to polynomial order seven with
maximum continuity in the span ($C^{p-1}$). The schemes yield two extra orders
of convergence (superconvergence) on the eigenvalue errors, while the
eigenfunction errors are of optimal convergence order. Both dispersion and
spectrum analysis are unified in the form of a Taylor expansion for eigenvalue
errors. As a consequence, the schemes increase the accuracy and robustness of
isogeometric analysis for wave propagation as well as the differential
eigenvalue problems. We analyze the methods' robustness and efficacy and
utilize numerical examples to verify our analysis of the performance of the
proposed schemes.
