The field of numerical methods for partial differential equations is witnessing significant developments, with a focus on improving the accuracy, efficiency, and scalability of numerical schemes. Researchers are exploring new approaches to tackle complex problems, such as nonlocal wave equations, magneto-hydrodynamics, and time-harmonic Maxwell equations. Notable advancements include the development of adaptive finite element methods, discontinuous Galerkin methods, and partitioned conservative algorithms. These innovations have the potential to enhance our understanding of various physical phenomena and improve the performance of numerical simulations. Some noteworthy papers in this regard include: The paper on a discontinuous Galerkin method for one-dimensional nonlocal wave problems, which presents a fully discrete numerical scheme with optimal L2 error convergence. The paper on partitioned conservative, variable step, second-order method for magneto-hydrodynamics, which proposes a symplectic algorithm that unconditionally conserves energy, cross-helicity, and magnetic helicity. The paper on high performance parallel solvers for the time-harmonic Maxwell equations, which compares different preconditioners and solvers to achieve efficient solutions for large-scale problems.