8 citations · 23 across the 5 of their papers we have counts for
6 papers
Time-Dependent PDE-Constrained Optimization via Weak-Form Latent Dynamics
April Tran, Terry Haut, David Bortz +1
Optimization problems constrained by high-dimensional, time-dependent partial differential equations require repeated forward and sensitivity solves, making high-fidelity optimizat…
Weak Form Scientific Machine Learning: Test Function Construction for System Identification
April Tran, David Bortz
Weak form Scientific Machine Learning (WSciML) is a recently developed framework for data-driven modeling and scientific discovery. It leverages the weak form of equation error res…
The Weak Form Is Stronger Than You Think
Daniel A. Messenger, April Tran, Vanja Dukic +1
The weak form is a ubiquitous, well-studied, and widely-utilized mathematical tool in modern computational and applied mathematics. In this work we provide a survey of both the his…
Physics-informed active learning with simultaneous weak-form latent space dynamics identification
Xiaolong He, April Tran, David M. Bortz +1
The parametric greedy latent space dynamics identification (gLaSDI) framework has demonstrated promising potential for accurate and efficient modeling of high-dimensional nonlinear…
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling
Christophe Bonneville, Xiaolong He, April Tran +10
Numerical solvers of partial differential equations (PDEs) have been widely employed for simulating physical systems. However, the computational cost remains a major bottleneck in…
Weak-Form Latent Space Dynamics Identification
April Tran, Xiaolong He, Daniel A. Messenger +2
Recent work in data-driven modeling has demonstrated that a weak formulation of model equations enhances the noise robustness of a wide range of computational methods. In this pape…