Yimin Zhong

collaborators

3 papers

math.NA2026

An improvement on B-spline basis condition number

Yimin Zhong

In this short note, we improve the upper bound on the condition number of the univariate B-spline basis of order $k$ from $k 2^{k}$ to $O (k lo g k 2^{k})$ for all $k \geq 2$ .

math.AP2026

Forward and inverse problems of a semilinear transport equation

Kui Ren, Yimin Zhong

We study forward and inverse problems for a semilinear radiative transport model where the absorption coefficient depends on the angular average of the transport solution. Our firs…

math.NA2026

From Frequency Bias to Spectral Balance: Operator-Aware Preconditioners for PINNs

Roy Y. He, Ying Liang, Hongkai Zhao +1

When neural networks (NNs) are used as a type of nonlinear parametric representation to solve partial differential equations (PDEs), they often display frequency-dependent learning…