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### Lin, Runchang

#### ACADEMIC TITLE

Professor

#### CONTACT INFO

(956) 326-2569

rlin@tamiu.edu

LBV-317

#### COURSES TAUGHT

### RESEARCH

### EDUCATION

### PUBLICATIONS

### GRANTS

### EXHIBITS

### AWARDS

### PUBLIC SERVICE

rlin@tamiu.edu

LBV-317

- Advanced Topics in Mathematics (MATH 5355)
- Case Seminar in App Stats (STAT 5390)
- Combinatorics (MATH 5315)
- Complex Variables (MATH 4345)
- Complex Variables I (MATH 5320)
- Functional Analysis I (MATH 5312)
- Fundamentals of Mathematics I (MATH 1350)
- Generalized Lin Mdls with Apps (STAT 5306)
- Geometry (MATH 3325)
- Linear Algebra (MATH 5306)
- Math in Middle&High School (MATH 4390)
- Mathematical Modeling (MATH 5370)
- Mathematics Seminar (MATH 5191)
- Number Theory (MATH 4305)
- Number Theory I (MATH 5303)
- Number Theory II (MATH 5304)
- Numerical Analysis I (MATH 4340)
- Numerical Linear Algebra (MATH 4330)
- Ordinary Diff Equations (MATH 3330)
- Ordinary Diff Equations I (MATH 5350)
- Ordinary Differential Equation (MATH 3330)
- Partial Differential Equations (MATH 5360)
- Probability (MATH 5375)
- Real Analysis I (MATH 5305)
- Research Mthds in Mathematics (MATH 5290)
- Selected Topics in Math (MATH 4355)
- Senior Mathematics Project (MATH 4395)
- Thesis I (MATH 5398)
- Thesis II (MATH 5399)
- Undergraduate Research in Math (MATH 4380)

Current Research:

Tacit Skills and Mentoring: A Combined Quantitative and Qualitative Comparative Research of Doctoral Science Training Regimes

Research Interests:

•Numerical Analysis of Partial Differential Equations
•Applied Mathematics
•Numerical Linear Algebra
•Combinatorial Optimization

- Wayne State University (Doctor of Philosophy)
- Tongji University (Master of Science)
- Tongji University (Bachelor of Science)
- Wayne State University (Master of Arts)

Journal Article:

A new mixed finite element method for singularly perturbed reaction-diffusion problems - SIAM Journal on Numerical Analysis 2012

Convergence analysis for least-squares approximations to solutions of second-order two-point boundary value problems - Journal of Computational and Applied Mathematics 2012

Program for student retention and success in engineering - Proceedings of the 2011 Annual Conference of the American Society for Engineering Education 2011

Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems - Applications of Mathematics 2009

Natural superconvergence points in three-dimensional finite elements - SIAM Journal on Numerical Analysis 2008

Natural superconvergent points of triangular finite elements - Numerical Methods for Partial Differential Equations 2004

Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities - Numerische Mathematik 2009

Discontinuous discretization for least-squares formulation of singularly perturbed reaction-diffusion problems in one and two dimensions - SIAM Journal on Numerical Analysis 2008

Simple, fast heuristics based on preferable intervals for the single-sink, fixed-charge transportation problem

Locating natural superconvergent points of finite element methods in 3D - International Journal of Numerical Analysis and Modeling 2005

Ultraconvergence of ZZ patch recovery at mesh symmetry points - Numerische Mathematik 2003

Numerical Computation of Vertex Shedding Flow around 2D Building - Chinese Science Abstracts 2000

A finite difference method for the FitzHugh-Nagumo equations - Dynamics of Continuous, Discrete and Impulsive Systems-Series B 2015

Several finite difference schemes to solve FitzHugh-Nagumo equations - Journal of Qingdao University 2015

L8 estimation of the LDG method for 1D singularly perturbed convection-diffusion problems - Discrete and Continuous Dynamical Systems - Series B 2013

A discontinuous Galerkin least-squares finite element method for solving coupled singularly perturbed reaction-diffusion equations - Journal of Computational and Applied Mathematics 2016

A posteriori error analysis of multipoint flux mixed finite element methods for interface problems - Advances in Computational Mathematics 2016

Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with constant coefficients - SIAM Journal on Numerical Analysis 2016

A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems - Numerical Algorithms 2015

Other:

Numerical steady-state solutions of non-linear DAE's arising in RF communication circuit design. - IMA preprint 2001

Improving Gender Disparity in Scholarship Programs for Secondary-Level Mathematics Teachers - The Mathematics Teaching-Research Journal Online 2016

Grants:

Engineering and Science Improvement and Retention Enhancement (MSEIP-ESIRE)

Rio Grande Border Mathematics Project

MRI: Acquisition of a High Performance Computing Cluster for Research and Education

College of arts & sciences community-aid (CASC-Aid)

Investigation of Discontinuous Galerkin Least-Squares Finite Element Methods for Singularly Perturbed Problems

“MRI: Acquisition of a Low-Field NMR for Research / Education at Texas A&M International University.”

University Research Grant

Texas Center Research Fellows Grant Program Award

University Research Grant

TAMIU Faculty Mini-Grant Research Award

“Teacher Quality Grants Program Award.”

Texas Center Research Fellows Grant Program Award

TAMIU Faculty Mini-Grant Research Award

Teacher of the Year - College of Arts and Sciences, TAMIU - 05-01-2016

Largest Sponsored Research Award - Texas A&M International University - 01-01-2013

Scholar of the Year - College of Arts and Sciences, TAMIU - 05-01-2010

Graduate Assistant Excellence in Teaching Award - Wayne State University - 01-01-2005

Paul Weiss Award - Wayne State Univ - 01-01-2005

Bertram Eisenstadt Award - Wayne State University - 01-01-2004

Graduate Student Professional Travel Award - Wayne State University - 01-01-2004

Summer 2004 Dissertation Fellowship - Wayne State University - 01-01-2004

Outstanding Student Achievement in Research - Wayne State University - 01-01-2003

Guanghua Scholarship - China - 01-01-1999

Outstanding Undergraduate Award - Ministry of Education, Shanghai, China - 01-01-1997

Second Prize of National Mathematics Modeling Competition - China - 01-01-1996

• First Prize of Shanghai Mathematics Modeling Competition - Shanghai, China - 01-01-1996

Guanghua Scholarship - China - 01-01-1994

Renmin Honored Undergraduate Scholarships - Tongji University, China - 01-01-1993