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math.OC2026
A first-optimize-then-reduce framework for optimal control with the shifted proper orthogonal decomposition
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Overcoming the Kolmogorov barrier for constructing efficient reduced-order models (ROMs) for transport-dominated problems remains a challenge. This has impeded their use as computa…
math.OC2026
Optimal control for a class of linear evolution equations with transformed proper orthogonal decomposition
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Solving optimal control problems for high-dimensional partial differential equations (PDEs) is computationally expensive. As a workaround, reduced-order models (ROMs) are often emp…