Math @ Duke
|
Publications [#361454] of Jianfeng Lu
Papers Published
- Chen, K; Chen, S; Li, Q; Lu, J; Wright, SJ, Low-rank approximation for multiscale PDEs
(November, 2021)
(last updated on 2024/04/18)
Abstract: Historically, analysis for multiscale PDEs is largely unified while numerical
schemes tend to be equation-specific. In this paper, we propose a unified
framework for computing multiscale problems through random sampling. This is
achieved by incorporating randomized SVD solvers and manifold learning
techniques to numerically reconstruct the low-rank features of multiscale PDEs.
We use multiscale radiative transfer equation and elliptic equation with rough
media to showcase the application of this framework.
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|