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Author

Peimeng Yin

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Preprint Oct 2026

Low-cost non-iterative Sylvester solvers for dynamical low-rank approximation of reaction-diffusion equations

In this work, we develop low-cost non-iterative Sylvester solvers for dynamical low-rank approximation of reaction-diffusion equations and incorporate them into a basis-update \&Galerkin mass-lumped finite element method (\mbox{BUG-MLFEM}). By incorporating mass lumping via Gauss-Lobatto quadrature, the spatial discret...

Joy Saha, Jun Yang, Peimeng Yin · 0 citations
Preprint Sep 2026

Sparsely connected rank-inspired neural network

A two-stage framework is developed, in which an approximately orthonormal neural basis is first constructed, and the output weights are subsequently determined using least-squares methods.

Yun-Qing Huang, Wu Su, Nian-Yu Yi et al. · 0 citations

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