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Design and Analysis of Modern and Robust Numerical Methods for Partial Differential Equations

David Del Rey Fernandez, NASA-Langley

Jesse Chan, Rice University

Matteo Parsani, KAUST

The aim of this minisymposium is to bring together researchers working on "robust'' methods for nonlinear partial differential equations, such as the Euler and Navier-Stokes equations. Reliable and robust numerical methods are becoming increasingly important for complex and high-fidelity problems where ad-hoc stabilization techniques can fail. Robust numerical methods are also necessary in the context of high-performance computing, where manual interventions incur a high cost.

In this minisymposium, we are interested in both theoretical and practical aspects of numerical methods, with a specific focus on mathematically rigorous discretization technologies. We invite contributions aimed at developing methodologies for nonlinear partial differential equations.