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math.OC2024
Optimal control for a class of linear transport-dominated systems via the shifted proper orthogonal decomposition
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional s…
cs.LG2024
Automated transport separation using the neural shifted proper orthogonal decomposition
Beata Zorawski, Shubhaditya Burela, Philipp Krah +2
This paper presents a neural network-based methodology for the decomposition of transport-dominated fields using the shifted proper orthogonal decomposition (sPOD). Classical sPOD…