The field of numerical methods for convection-diffusion-reaction models is experiencing significant advancements, driven by the development of innovative techniques for error estimation, mesh adaptivity, and optimization. Researchers are exploring new approaches to improve the accuracy and efficiency of numerical simulations, including the use of anisotropic error control, multi-goal-oriented error estimation, and data-driven mesh generation. These developments have the potential to enhance the reliability and performance of numerical models in various fields, such as fluid dynamics and computational geometry. Notable papers in this area include:

• Error Etimates for Non Conforming Discretisation of Time-dependent Convection-Diffusion-Reaction Model, which establishes novel convergence rates for numerical approximations of time-dependent convection-diffusion-reaction models.
• PDE-Constrained High-Order Mesh Optimization, which presents a novel framework for optimizing high-order meshes using a combination of mesh quality metrics and PDE solution accuracy.