98 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National Kaohsiung University of Applied SciencesTW16 papers
- National Taiwan UniversityTW12 papers
- National Center for Theoretical SciencesTW11 papers
- National Yang Ming Chiao Tung UniversityTW11 papers
- National Dong Hwa UniversityTW10 papers
- National Chengchi UniversityTW7 papers
- National Pingtung UniversityTW5 papers
- National Cheng Kung UniversityTW4 papers
- National Sun Yat-sen UniversityTW4 papers
- Academia SinicaTW3 papers
- Institute of Statistical Science, Academia SinicaTW3 papers
- Kindai UniversityJP3 papers
6 papers · 1 filter
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…
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…
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…
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…
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…
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…