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math.NA2025
Non-intrusive model reduction of advection-dominated hyperbolic problems using neural network shift augmented manifold transformation
Harshith Gowrachari, Nicola Demo, Giovanni Stabile +1
Advection-dominated problems are predominantly noticed in nature, engineering systems, and various industrial processes. Traditional linear compression methods, such as proper orth…
math.NA2025
Model Reduction for Transport-Dominated Problems via Cross-Correlation Based Snapshot Registration
Harshith Gowrachari, Giovanni Stabile, Gianluigi Rozza
Traditional linear approximation methods, such as proper orthogonal decomposition and the reduced basis method, are ill-suited for transport-dominated problems due to the slow deca…