output
20042026
most citedOrigin of Ferromagnetism in nitrogen embedded ZnO:N thin films

98 citations

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6 papers · 1 filter

math.NA2022★ 65 cited

A cusp-capturing PINN for elliptic interface problems

Yu-Hau Tseng, Te-Sheng Lin, Wei-Fan Hu +1

In this paper, we propose a cusp-capturing physics-informed neural network (PINN) to solve discontinuous-coefficient elliptic interface problems whose solution is continuous but ha…

math.NA2022★ 9 cited

An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications

Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng +1

A new and efficient neural-network and finite-difference hybrid method is developed for solving Poisson equation in a regular domain with jump discontinuities on embedded irregular…

math.NA2017★ 2 cited

A modified Newton iteration for finding nonnegative Z-eigenpairs of a nonnegative tensor

Chun-Hua Guo, Wen-Wei Lin, Ching-Sung Liu

We propose a modified Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. When the tensor is irreducible, all nonnegative eigenpairs are known to be…

math.NA2017

Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors

Yueh-Cheng Kuo, Wen-Wei Lin, Ching-Sung Liu

In this paper, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the homotopy continuation method…

math.NA2016

Computing the unique CANDECOMP/PARAFAC decomposition of unbalanced tensors by homotopy method

Tsung-Lin Lee, Yueh-Cheng Kuo

The Candecomp/Parafac (CP) decomposition of the tensor whose maximal dimension is greater than its rank is considered. We derive the upper bound of rank under which the generic uni…

math.NA2014

Structure-Preserving Flows of Symplectic Matrix Pairs

Yueh-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh

We construct a nonlinear differential equation of matrix pairs that is invariant (the \textbf{Structure-Preserving Property}) in the class of symp…