The field of high-performance computing and numerical methods is witnessing significant developments, with a focus on improving the performance and accuracy of simulations. Researchers are exploring innovative approaches to optimize computational models, including the use of surrogate models, adaptive methods, and high-order interpolation schemes. These advancements have the potential to substantially enhance the efficiency and reliability of simulations in various domains, such as fluid dynamics and wave propagation. Notably, the development of lock-free distributed hash tables and arbitrary-Lagrangian-Eulerian methods with shifted boundary polynomial correction are particularly noteworthy, as they demonstrate promising results in improving simulation performance and accuracy.

Noteworthy papers include: The paper on a fast MPI-based Distributed Hash-Table as Surrogate Model, which presents a novel approach to enhancing performance in HPC applications. The paper on an $rp$-adaptive method for accurate resolution of shock-dominated viscous flow, which introduces an optimization-based numerical method for approximating solutions of viscous flows. The paper on Fast Higher-Order Interpolation and Restriction in ExaHyPE, which introduces a set of higher-order interpolation schemes for adaptive mesh refinement. The paper on High order treatment of moving curved boundaries, which presents a novel approach for prescribing high order boundary conditions on curved moving domains.