least-squares

Preconditioned least-squares Petrov–Galerkin reduced order models

This work proposes a preconditioning strategy for the least-squares Petrov–Galerkin (LSPG) reduced-order model. Preconditioning is critical for ensuring that the LSPG method produces accurate reduced-order models, particularly when the full-order …

Windowed least-squares model reduction for dynamical systems

This work proposes a windowed least-squares approach for model reduction of dynamical systems. The method constructs reduced-order models by minimizing the residual over a sliding time window, which enables the method to adapt to the local dynamics …