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- Fermi National Accelerator LaboratoryUS301 papers
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38 papers · 1 filter
A finite element framework for simulating residential burglary in realistic urban geometries
Baoli Hao, Kamrun Mily, Annalisa Quaini +1
We consider a partial differential equation (PDE) model to predict residential burglary derived from a probabilistic agent-based model through a mean-field limit operation. The PDE…
Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter
Baoli Hao, Chun Liu, Ulisses Braga-Neto +2
Training physics-informed neural networks (PINNs) on stiff, time-dependent PDEs remains a fundamental challenge due to optimization instabilities and gradient pathologies. Through…
A unified treatment of tractability for approximation problems defined on Hilbert spaces
Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer
A large literature specifies conditions under which the information complexity for a sequence of numerical problems defined for dimensions grows at a moderate rate,…
An Alternating Direction Implicit Method for Mean Curvature Flows
Han Zhou, Shuwang Li, Wenjun Ying
This paper is concerned with the mean curvature flow, which describes the dynamics of a hypersurface whose normal velocity is determined by local mean curvature. We present a Carte…
High-order variational Lagrangian schemes for compressible fluids
Guosheng Fu, Chun Liu
We present high-order variational Lagrangian finite element methods for compressible fluids using a discrete energetic variational approach. Our spatial discretization is mass/mome…
Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle
Qingyi Zhan, Jinqiao Duan, Xiaofan Li +1
In this work we construct a stochastic contact variational integrator and its discrete version via stochastic Herglotz variational principle for stochastic contact Hamiltonian syst…