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### Lin, Runchang

#### ACADEMIC TITLE

Associate 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

- Calculus I (MATH 2413)
- Calculus III (MATH 2415)
- Combinatorics (MATH 5315)
- Complex Variables I (MATH 5320)
- Functional Analysis I (MATH 5312)
- Generalized Lin Mdls with Apps (STAT 5306)
- Geometry (MATH 3325)
- Internship in Mathematics (MATH 5252)
- Introduction to Linear Algebra (MATH 3310)
- Introductory Statistics (MATH 1342)
- Linear Algebra (MATH 5306)
- Mathematical Modeling (MATH 5370)
- Mathematics Seminar (MATH 5191)
- Number Theory (MATH 4305)
- Number Theory I (MATH 5303)
- Numerical Analysis I (MATH 4340)
- Numerical Analysis II (MATH 4341)
- Numerical Linear Algebra (MATH 4330)
- Numerical Methods for PDE I (MATH 5367)
- Ordinary Differential Equation (MATH 3330)
- Partial Differential Equations (MATH 4350)
- Partial Differential Equations (MATH 5360)
- Plane Trigonometry (MATH 1316)
- Probability (MATH 5375)
- Research Mthds in Mathematics (MATH 5290)
- Selected Topics in Math (MATH 4355)
- Seminar (MATH 3195)
- Thesis I (MATH 5398)
- Thesis II (MATH 5399)
- Undergraduate Research in Math (MATH 4380)

Current Research:

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)

Improving Gender Disparity in Scholarship Programs for Secondary-Level Mathematics Teachers - The Mathematics Teaching-Research Journal Online - January (1st Quarter/Winter) 2016

Conference Proceeding:

A discontinuous Galerkin least-squares finite element method for solving Fisher's equation - Discrete and Continuous Dynamical Systems - Series A 2013

A robust finite element method for singularly perturbed convection-diffusion problems - Discrete and Continuous Dynamical Systems - A. Supplement - September 2009

Multi-observer three-point tracking law with networked observers - 2008 International Conference on Automation, Robotics and Control Systems (ARCS-08) 2008

A discontinuous least-squares finite element method for singularly perturbed reaction-diffusion problems - Dynamics of Continuous, Discrete and Impulsive Systems. Series A. Mathematical Analysis 2007

A Preferable-Interval Method to the Single-Sink Fixed-Charge Transportation Problem - ICMI 2007: International CONFERENCE ON Management Innovation 2007 2007

Derivative superconvergence of equilateral triangular finite elements - Contemporary Mathematics; AMS 2005

Journal Article, Academic Journal:

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

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 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 - June 28 2011

Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities - Numerische Mathematik - January (1st Quarter/Winter) 10 2009

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

Discontinuous discretization for least-squares formulation of singularly perturbed reaction-diffusion problems in one and two dimensions - SIAM Journal on Numerical Analysis - October (4th Quarter/Autumn) 24 2008

Natural superconvergence points in three-dimensional finite elements - SIAM Journal on Numerical Analysis - March 21 2008

Locating natural superconvergent points of finite element methods in 3D - International Journal of Numerical Analysis and Modeling - January (1st Quarter/Winter) 2005

Natural superconvergent points of triangular finite elements - Numerical Methods for Partial Differential Equations - March 24 2004

Ultraconvergence of ZZ patch recovery at mesh symmetry points - Numerische Mathematik - April (2nd Quarter/Spring) 2 2003

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

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

Technical Report:

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

Grant:

Engineering and Science Improvement and Retention Enhancement (MSEIP-ESIRE) - 2017-10-01 to 2020-08-30

MRI: Acquisition of a High Performance Computing Cluster for Research and Education - 2017-09-01 to 2020-08-31

College of arts & sciences community-aid (CASC-Aid) - 2016-01-01 to 2016-12-31

Investigation of Discontinuous Galerkin Least-Squares Finite Element Methods for Singularly Perturbed Problems - 2012-09-01 to 2016-08-31

“MRI: Acquisition of a Low-Field NMR for Research / Education at Texas A&M International University.” - 2008-09-01 to 2011-08-31

University Research Grant - 2008-09-01 to 2009-08-31

Texas Center Research Fellows Grant Program Award - 2008-05-01 to 2008-08-31

University Research Grant - 2007-09-01 to 2008-08-31

TAMIU Faculty Mini-Grant Research Award - 2006-12-01 to 2007-08-31

Texas Center Research Fellows Grant Program Award - 2006-05-01 to 2006-08-31

“Teacher Quality Grants Program Award.” - 2006-04-01 to 2007-05-31

TAMIU Faculty Mini-Grant Research Award - 2005-12-01 to 2006-08-31

Rio Grande Border Mathematics Project

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

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

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

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

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

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

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

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

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

Guanghua Scholarship - China - 1999-01-01

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

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

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

Guanghua Scholarship - China - 1994-01-01

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