4 papers
Higher-Order LaSDI: Reduced Order Modeling with Multiple Time Derivatives
Robert Stephany, William Michael Anderson, Youngsoo Choi
Solving complex partial differential equations is vital in the physical sciences, but often requires computationally expensive numerical methods. Reduced-order models (ROMs) addres…
Rollout-LaSDI: Enhancing the long-term accuracy of Latent Space Dynamics
Robert Stephany, Youngsoo Choi
Solving complex partial differential equations is vital in the physical sciences, but often requires computationally expensive numerical methods. Reduced-order models (ROMs) addres…
mLaSDI: Multi-stage latent space dynamics identification
William Anderson, Seung Whan Chung, Robert Stephany +1
Accurately solving partial differential equations (PDEs) is essential across many scientific disciplines. However, high-fidelity solvers can be computationally prohibitive, motivat…
DDE-Find: Learning Delay Differential Equations from Noisy, Limited Data
Robert Stephany
Delay Differential Equations (DDEs) are a class of differential equations that can model diverse scientific phenomena. However, identifying the parameters, especially the time dela…