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Explore the intersection of Partial Differential Equations (PDEs) and stencil computations in this 24-minute video presentation by Paul H J Kelly from Imperial College London. Delivered at the SPARSE 2024 workshop, sponsored by ACM SIGPLAN, this talk delves into the computational aspects of solving PDEs using stencil-based methods. Gain insights into the challenges and techniques involved in efficiently implementing PDE solvers, and learn about potential optimizations for high-performance computing applications. While no specific abstract is provided, expect to encounter discussions on numerical methods, parallel computing strategies, and performance considerations for PDE-based simulations using stencil computations.