The field of numerical methods for wave equations is witnessing significant advancements, with a focus on developing high-order methods and improving the efficiency of existing algorithms. Researchers are exploring new approaches to discretize and solve wave equations, including the use of wavelet-based techniques and adaptive mesh refinements. These innovations have the potential to enhance the accuracy and performance of numerical simulations, allowing for better modeling and analysis of complex wave phenomena. Notable papers in this area include: A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D, which presents a novel method for direct numerical simulation of Wave Kinetic Equations. A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems, which proposes a reliable error estimator and adaptive mesh refinement strategy for time-dependent acoustic scattering problems.