The field of numerical methods for complex systems is witnessing significant advancements, driven by the need for efficient and accurate solutions to multidisciplinary problems. A key direction in this area is the development of robust and unified approaches for handling heterogeneous porous media, contaminant transport, and parabolic-type equations. Researchers are exploring innovative finite element methods, block-centered schemes, and one-step schemes to address the challenges inherent in these systems. Noteworthy papers in this area include: A paper introducing a novel weak Galerkin finite element method for the Brinkman equations, which offers a unified approach for capturing both Stokes- and Darcy-dominated regimes. Another paper presents a scalable ADER-DG transport method with a polynomial order-independent CFL limit, achieving a maximum stable time step governed by an element-width based CFL condition.