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math.NA2020★ 20 cited
A Bi-fidelity Ensemble Kalman Method for PDE-Constrained Inverse Problems
Han Gao, Jian-Xun Wang
Mathematical modeling and simulation of complex physical systems based on partial differential equations (PDEs) have been widely used in engineering and industrial applications. To…
math.NA2019★ 44 cited
Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning
Han Gao, Jian-Xun Wang, Matthew J. Zahr
Projection-based model reduction has become a popular approach to reduce the cost associated with integrating large-scale dynamical systems so they can be used in many-query settin…