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Te-Sheng Lin (林得勝)

Associate Professor

National Yang Ming Chiao Tung University, TW

About me

I am an associate professor at the Department of Applied Mathematics, National Yang Ming Chiao Tung University, Taiwan. My research focuses on developing analytical, computational, and machine-learning methodologies for challenging scientific computing tasks, and further communicating with scientists from other disciplines to address practical problems.

My list of publications in Google Scholar. Some preprints in arXiv.

I co-organize NYCU webinar on Scientific Machine Learning.

Interests

  • Mathematical modeling
  • Scientific computation
  • Scientific machine learning

Education

  • PhD in Mathematical Sciences, 2012

    New Jersey Institute of Technology, USA

  • M.S. in Applied Mathematics, 2004

    National Chung Cheng University, Taiwan

  • B.S. in Mathematics, 2002

    National Chung Cheng University, Taiwan

Appointments

 
 
 
 
 

Associate Professor

National Yang Ming Chiao Tung University

Feb 2021 – Present Hsinchu, TW
 
 
 
 
 

Associate Professor

National Chiao Tung University

Aug 2020 – Jan 2021 Hsinchu, TW
 
 
 
 
 

Assistant Professor

National Chiao Tung University

Aug 2014 – Jul 2020 Hsinchu, TW
 
 
 
 
 

Research Associate

Loughborough University

Dec 2012 – Jul 2014 Loughborough, UK
 
 
 
 
 

Marie Curie Experienced Researcher

Loughborough University

Jun 2012 – Dec 2012 Loughborough, UK

Recent Publications

C.-C. Chang, C.-Y. Dai, W.-F. Hu, T.-S. Lin, M.-C. Lai (2024). A hybrid neural-network and MAC scheme for Stokes interface problems.

arXiv

A. Farutin, M.S. Rizvi, W.-F. Hu, T.S. Lin, S. Rafaï, C. Misbah (2023). Motility and swimming: universal description and generic trajectories. Eur. Phys. J. E.

DOI arXiv

W.-F. Hu, T.-S. Lin, M.-C. Lai (2023). Multiple discontinuous function approximations by single continuous network architecture and applications. .

Y.-C. Ho, T.-S. Lin, S.-C. Wang, C.-S. Chang, Y.-T. Lin (2023). Variability of morphology in beat-to-beat photoplethysmographic waveform quantified with unsupervised wave-shape manifold learning for clinical assessment.

arXiv

Y.-H. Tseng, T.-S. Lin, W.-F. Hu, M.-C. Lai (2023). A cusp-capturing PINN for elliptic interface problems. J. Comput. Phys..

DOI arXiv

J.-J. Tsai, C.-C. Chang, D.-Y. Huang, T.-S. Lin, Y.-C. Chen (2023). Analysis and classification of coffee beans using single coffee bean mass spectrometry with machine learning strategy. Jood Chem..

DOI

W.-F. Hu, T.-S. Lin, Y.-H. Tseng, M.-C. Lai (2023). An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications. Comm. Comput. Phys..

DOI arXiv

M. Blyth, T.-S. Lin, D. Tseluiko (2023). On the transition to dripping of an inverted liquid film. J. Fluid Mech..

DOI arXiv

W.-F. Hu, Y.-J. Shih, T.-S. Lin, M.-C. Lai (2023). A shallow physics-informed neural network for solving partial differential equations on surfaces. Computer Methods in Applied Mechanics and Engineering.

DOI arXiv

A. Farutin, M.S. Rizvi, W.-F. Hu, T.S. Lin, S. Rafaï, C. Misbah (2022). A Reduced Model for a Phoretic Swimmer. J. Fluid Mech..

DOI arXiv

See all publications

Recent Posts

Least square method 2

最小平方法 2 給定一個矩陣 $A$ 以及一個向量 $b$, 我們想要找到一個向量 $x$ 使得 $\|Ax - b\|^2+\|x\|^2$ 最小. $$ A\in M_{m\times n}, \quad b \in M_{m\times 1}, \quad …
Last updated on Dec 20, 2023 3 min read linear algebra, notes

Gibbs_phenomenon - code

Last updated on Dec 20, 2023 1 min read Computational Mathematics, Linear algebra

主成分分析 - 0

Principle component analysis - 0 1. 一維資料的統計學 假設我們有 $n$ 筆資料, 每筆資料都是一個數字 (例如 $n$ 個學生的成績). 這 $n$ 筆資料我們設為 $x_1, \cdots, x_n$, 並且定義一個矩陣 $$ …
Last updated on Dec 20, 2023 3 min read Calculus, Computational Mathematics, Linear algebra, Machine_learning

主成分分析 - code

Last updated on Dec 20, 2023 1 min read Calculus, Computational Mathematics, Linear algebra, Machine_learning

Least square method 1

最小平方法 1 給定一個矩陣 $A$ 以及一個向量 $b$, 我們想要找到一個向量 $x$ 使得 $\|Ax - b\|^2$ 最小. $$ A\in M_{m\times n}, \quad b \in M_{m\times 1}, \quad x\in …
Last updated on Dec 20, 2023 3 min read linear algebra, notes

Trace, determinant 與 eigenvalue 的關係

方陣 A 的行列式等於其特徵值相乘 Determinant of A equals to the product of its eigenvalues 給定一個 $n\times n$ 的方陣 $A$, 我們定義一個變數為 $\lambda$ …
Last updated on Nov 16, 2023 2 min read linear algebra, notes

Euler equations

Euler equations Here, we consider Euler equations: $$ \tag{1} x^2 y’’ + a xy’ + by = 0, \quad x\ne 0, $$ where $a$, …
Last updated on Nov 16, 2023 3 min read ODE

Euler equations

Euler equations 這裡我們想要解 Euler equations, 長相如下: $$ \tag{1} x^2 y’’ + a xy’ + by = 0, $$ 其中 $a$, $b$ 為常數. …
Last updated on Nov 16, 2023 2 min read ODE

Power method with Rayleigh Quotient

Power 迭代法目錄: 基本概念 Power iteration; inverse power method; shifted inver power method 找第二大的 eigenvalue deflation Rayleigh Quotient 迭代及其收斂 …
Last updated on Apr 29, 2023 1 min read notes, Linear algebra, Computational Mathematics

Power method - deflation

Power 迭代法目錄: 基本概念 Power iteration; inverse power method; shifted inver power method 找第二大的 eigenvalue deflation Rayleigh Quotient 迭代及其收斂 …
Last updated on May 24, 2023 3 min read notes, Linear algebra, Computational Mathematics
See all posts