28 results on '"Thomas Y. Hou"'
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2. Nearly self-similar blowup of generalized axisymmetric Navier-Stokes and Boussinesq equations.
3. KAN: Kolmogorov-Arnold Networks.
4. Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics.
5. Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators.
6. Exponentially Convergent Multiscale Finite Element Method.
7. Potential Singularity of the Axisymmetric Euler Equations with Cα Initial Vorticity for A Large Range of α. Part I: the 3-Dimensional Case.
8. The nearly singular behavior of the 3D Navier-Stokes equations.
9. Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations.
10. Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold.
11. Potential singularity of the 3D Euler equations in the interior domain.
12. Multiscale Invertible Generative Networks for High-Dimensional Bayesian Inference.
13. Potential Singularity Formation of 3D Axisymmetric Navier-Stokes Equations with Degenerate Variable Diffusion Coefficients.
14. Multiscale Elliptic PDEs Upscaling and Function Approximation via Subsampled Data.
15. Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization.
16. Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions.
17. A class of robust numerical methods for solving dynamical systems with multiple time scales.
18. The subsampled Poincar\' e inequality for functional recovery.
19. Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization.
20. A Fast Hierarchically Preconditioned Eigensolver Based On Multiresolution Matrix Decomposition.
21. Extracting a shape function for a signal with intra-wave frequency modulation.
22. On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data.
23. Sparse Time-Frequency decomposition for multiple signals with same frequencies.
24. Generalized Multiscale Finite Element Methods (GMsFEM)
25. Convergence of a data-driven time-frequency analysis method
26. Sparse Time-Frequency decomposition by adaptive basis pursuit.
27. Sparse Time Frequency Representations and Dynamical Systems.
28. Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations
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