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1. Sparse-Galerkin-Operator Sparse-Galerkin-Operator Public

   Codes for the paper "Reducing Operator Complexity of Galerkin Coarse-Grid Operators with Machine Learning". Baseline included.

   Jupyter Notebook 1

2. Stochastic-Simulation Stochastic-Simulation Public

   Numerical Methods for Stochastic Simulations of Scientific Problems. Include algorithms for Sampling, Forward Uncertainty Propagation, Filtering, and Rare Event Simulations. Demonstrated with noteb…

   Jupyter Notebook

3. si-sbgm si-sbgm Public

   Comparing Stochastic Interpolants and Score-Based Generative Models via Entropic Optimal Transport

   Jupyter Notebook

4. nodec-fno nodec-fno Public

   Adjoint-based Fourier Neural Operators and conservation-preserving Fourier Neural Operators. Worked done during the Moncrief Program at the Oden Institute (UT Austin) in 2022 summer.

   Jupyter Notebook

5. NLA NLA Public

   A Suite of Numerical Linear Algebra Algorithms: Krylov Subspace Methods and Variants, Preconditioning Methods, Smoothing Methods, and Golub-Kahan

   Python

6. num-opt num-opt Public

   A Suite of Numerical Optimization Algorithms: Variants of Newton's Methods, Proximal Methods, Non-negative Matrix Factorization, etc.

   Jupyter Notebook