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Author Title & Description
Bernardo Collufio
January 4, 2026
Numerical diffusion

Numerical methods for PDEs represent a well-established research field in Applied Mathematics, and their use as powerful tools for many real-world applications continues to attract interest from the international community. The performance of numerical techniques for solving PDEs can be significantly affected by several undesirable effects. One of these subtle effects, referred to as numerical diffusion, may lead—if not carefully analyzed and controlled—to results that are inconsistent with the underlying physics of the system.