7 citations · 14 across the 10 of their papers we have counts for
10 papers
Mamba-Assisted Non-Markovian Closure for Reduced-Order Modeling
Zhi-Feng Wei, Saad Qadeer, Panos Stinis
Reduced-order modeling of high-dimensional dynamical systems is often hindered by closure effects arising from unresolved variables, which can introduce non-Markovian dependence in…
Assessing Emulator Design and Training for Modal Aerosol Microphysics Parameterizations in E3SMv2
Shady E. Ahmed, Hui Wan, Saad Qadeer +5
Toward the goal of using Scientific Machine Learning (SciML) emulators to improve the numerical representation of aerosol processes in global atmospheric models, we explore the emu…
Improving the accuracy of physics-informed neural networks via last-layer retraining
Saad Qadeer, Panos Stinis
Physics-informed neural networks (PINNs) are a versatile tool in the burgeoning field of scientific machine learning for solving partial differential equations (PDEs). However, det…
Stabilizing PDE--ML coupled systems
Saad Qadeer, Panos Stinis, Hui. Wan
A long-standing obstacle in the use of machine-learnt surrogates with larger PDE systems is the onset of instabilities when solved numerically. Efforts towards ameliorating these h…
Efficient kernel surrogates for neural network-based regression
Saad Qadeer, Andrew Engel, Amanda Howard +4
Despite their immense promise in performing a variety of learning tasks, a theoretical understanding of the limitations of Deep Neural Networks (DNNs) has so far eluded practitione…
Vibrational Levels of a Generalized Morse Potential
Saad Qadeer, Garrett D. Santis, Panos Stinis +1
A Generalized Morse Potential (GMP) is an extension of the Morse Potential (MP) with an additional exponential term and an additional parameter that compensate for MP's erroneous b…
The Projection Extension Method: A Spectrally Accurate Technique for Complex Domains
Saad Qadeer, Ehssan Nazockdast, Boyce E. Griffith
An essential ingredient of a spectral method is the choice of suitable bases for test and trial spaces. On complex domains, these bases are harder to devise, necessitating the use…
Machine-learning custom-made basis functions for partial differential equations
Brek Meuris, Saad Qadeer, Panos Stinis
Spectral methods are an important part of scientific computing's arsenal for solving partial differential equations (PDEs). However, their applicability and effectiveness depend cr…
The Smooth Forcing Extension Method: A High-Order Technique for Solving Elliptic Equations on Complex Domains
Saad Qadeer, Boyce E. Griffith
High-order numerical methods for solving elliptic equations over arbitrary domains typically require specialized machinery, such as high-quality conforming grids for finite element…
Computing the Dirichlet-Neumann Operator on a Cylinder
Saad Qadeer, Jon Wilkening
The computation of the Dirichlet-Neumann operator for the Laplace equation is the primary challenge for the numerical simulation of the ideal fluid equations. The techniques used c…