Research Interests and Recent Research Directions

I am interested in developing numerical algorithms and software for scientific computing. My researches usually involve numerical linear algebra, computational optimization, parallel computing, and their applications. Here is my publications list.

My recent projects include the following topics.

Numerical Linear Algebra and Its Applications.
We consider large-scale linear systems and nonlinear eigenvalue problems arising in various numerical simulations that include three-dimensional photonic crystal, quantum dots, acoustic, and others. The main focuses are Krylov type algorithms, Jacobi-Davidson methods, preconditioning schemes, and accelerations on parallel computers.

Data-Driven Analysis and Optimization.
Many computer experiments require performance analysis and optimization in which only objective function values are available. Our main focuses are design of experiments and surrogates models assisted techniques with emphasis in software auto-tuning. We also develop efficient methods for statistical optimal experiment designs.

GPU and High-Performance Computing.
We study how GPU, multicore-CPU, and heterogeneous CPU-GPU clusters can be used to accelerate scientific computations. The focuses include CPU-GPU accelerated solvers for linear systems and eigenvalue problems, fast medical image reconstructions on computed tomography, and particle swarm optimization with applications in medical and statistical sciences.



Educational Background
  • Ph.D. in Applied Mathematics, University of Maryland, College Park, USA, 1996. Thesis advisor: Dianne P. O'Leary
  • B.S. in Applied Mathematics, National Chiao-Tung University, Taiwan, 1989
  • Academic Genealogy


Employment Background
  • Professor (2013-Present)
    Institute of Applied Mathematical Sciences, National Taiwan University
  • Professor (2007-Present)
    Department of Mathematics, National Taiwan University
  • Associate Professor (2002-2005), Professor (2005-2007), Chairperson (2003-2006)
    Department of Applied Mathematics, National University of Kaohsiung
  • Assistant Professor (1997-2000), Associate Professor (2000-2002)
    Department of Mathematics Education, National Tainan Teachers College
  • Software Engineer (1996-1997)
    ITServ Inc., USA


Honors
  • University Outstanding Teaching Faculty Member, National Taiwan University, 2011
  • University Outstanding Teaching Faculty Member, National Taiwan University, 2010
  • Honor Researcher, Mathematics Division, National Center for Theoretical Sciences (Taipei Office), 2008


學歷
  • 美國馬里蘭大學 College Park 校區,應用數學博士,1996
  • 國立交通大學,應用數學學士,1989
  • 學術族譜
經歷
  • 國立臺灣大學,應用數學科學研究所,教授 (2013-迄今)
  • 國立臺灣大學,數學系,教授 (2007-迄今)
  • 國立高雄大學,應用數學系
    副教授 (2002-2005)教授 (2005-2007),系主任 (2003-2006)
  • 國立台南師範學院,數學教育系
    助理教授 (1997-2000),副教授 (2000-2002)
  • 美國 ITServ Inc.,軟體研發工程師 (1996-1997)
  • 美國超級電腦研究中心,研究助理 (1993-1994)
  • 美國馬里蘭大學,數學系,教學助理 (1990-1993,1994-1996)
榮譽
  • 國立臺灣大學,全校教學優良教師,2011
  • 國立臺灣大學,全校教學優良教師,2010
  • 國家理論科學研究中心 臺北辦公室數學組,理論科學榮譽研究員,2008
  • 教育部,基礎科學教育改進計畫 92年度優等獎 (科學計算與數學),2004