  The Landau-Brazovskii model is a well-known Landau model for finding the
complex phase structures in microphase-separating systems ranging from block
copolymers to liquid crystals. It is critical to design efficient numerical
schemes for the Landau-Brazovskii model with energy dissipation and mass
conservation properties. Here, we propose a mass conservative and energy stable
scheme by combining the spectral deferred correction (SDC) method with the
convex splitting technique to solve the Landau-Brazovskii model efficiently. An
adaptive correction strategy for the SDC method is implemented to reduce the
cost time and preserve energy stability. Numerical experiments, including two-
and three-dimensional periodic crystals in the Landau-Brazovskii model, are
presented to show the efficiency of the proposed numerical method.
