Education
Ph.D. Applied
Mathematics, Michigan State University
B.S. Mathematics, Guangxi University
Experience
Professor , Dept
of Math, UNO, 2002-
Associate Professor, Dept. of Math, UNO, 1994 -2002
Undergraduate Coordinator, Dept. of Math, UNO, 1994 - 1998
Assistant Professor, UNO, 1988 - 1994
Grants
[1] Co-principal investigators Yvelyne McCarthy et al., Louisiana Systemic Initiative Program (July 1, 2011 - Sept. 30th, 2012), "Leaders of Mathematics Through Inquiry-Based Learning in Grades 3 – 4, 2011-2012", $215,434.29.
[2] Louisiana Systemic Initiative Program " Leaders of Mathematics Through Inquiry-Based Learning in Grades 4-8" , May 1, 2009 – June 30, 2010 $30,2039 and July 1, 2010 – June 15, 2011 $214,239.38 (Co-PI Yvelyne Germain-McCarthy, et al.)
[3] Student Technology Fee Award (with Dorren Schmitt), $3,000, Summer, 2000- LEQSF Research Competitiveness Subprogram (with Lew Lefton), $91,000, 1992-1995.
[4] UNO Faculty Summer Scholar Award, $2889, Summer 1989. UNOResearch Council Grant, $1581, 1989-1990.
Industrial Consultation
[1] Finite element stress analysis of a combustion fan blade, May, 1999.
[2] Thermal analysis of a hot gas
pipe, June, 1999.
[3] Finite element stress analysis of an imbedded circular duomorph, Summer
of 1997.
[4] Finite element analysis of canned
mushroom soup under convective heat transfer, 1993.
Invited speaker
[1] Texas A & M University-Qatar,
Dec. 12th, 2012.
[1]
Department of Mathematics, Southern Methodist University, Dallas, TX, October
17, 2001
[2] Workshop on Finite Elements, Institute of Applied Physics and Computational
Math, Beijing, China, July 10-15, 2001
[3] Department of Mathematics, East China Normal University, Shaighai, China, June 17, 2001
[4] Department of Mechanical Engineering, East China Ship-Building Institute, Zhengjiang, China, June 14, 2001
[5] AMS Meeting, New Orleans, LA, January, 10-13, 2001
[6] AMS Meeting, Lafayette, LA, April 14-16, 2000
[7] Third International Conference on Dynamic Systems and Applications,
Atlanta, May 26-29, 1999
[8] State of the Art in Finite Element Analysis - Theory, algorithm and
applications, Hong Kong, July 21-24, 1998
[9] Department of Mathematics, Louisiana State University, Baton Rouge,
LA, September 12, 1996
[10] Mississippi Weekend Seminar on Differential Equations, May 4,
1996
[11] Department of Mathematics, Tulane University, New Orleans, LA, October, 1994
[12] The Sixth International Congress on Computational and Applied Mathematics,
Leuven, Belgium,
July 25-30, 1994
[13] AMS Meeting, Texas A &M University, College Station, TX, October
22-23, 1993
[14] Academia Sinica Conference on Scientific and Engineering
Computing for Young Chinese Scientists, Beijing, China, August 16-21, 1993
[15] Evolution Equations Conference, Baton Rouge, LA, January 7-11,1993
[16] Mathematics Department, Tulane University, New Orleans, LA October
26,1988
Invited Lectures
[1] Two hour lectures for the Summer Research
in Pure and Applied Mathematics program at
UW-Eau Claire funded by the National Science Foundation, July 26-28, 2011.
[2] Workshop on “Finite Element Analysis- Industrial Applications”, Jiangsu University of Technology, Zhengjiang, Jiangsu, China, 2007.
[3] Summer Workshop on “Numerical
Solution of Non-Newtonian Flow Equations and Applications,”sponsored by Extrusion Dies Industries, LLC,
Chippewa Falls, Wisconsin, the W-Eau Claire Office of
University Research and Sponsored Programs, College of Arts and Sciences, and
Department of Mathematics, University of Wisconsin July , 2005.
[4] Inner Mongolia University of Nationalities, Tongliao, China, August, 2004
[5] Joint Conference of ICCP6 and CCP2003, Beijing, May, 2004
[6] Workshop on “Finite Element Procedures and Industrial Applications”, Beijing International Center for computational Physics, August, 2003.
[7] ICM2002 Satellite Conference on Scientific Computing, Xi'an, China,
August, 2002
[8] Southern Methodist University, Dallas, Texas, October, 2001.
[9] Institute of Applied Physics and Computational Mathematics,
Beijing, China, August, 2001.
[10] An introduction to finite element method, Math Department , LSU, 1996
Journal articles
[1] Analytic and Finite Element Solutions of the Power-law
Euler-Bernoulli Beams, co-author Yu Liu , Finite Elements in Analysis &
Design, 52 (2012), 31-40.
[2] Traveling Wave Solutions of Burgers’ Equation for Power-Law Non-
Newtonian Flows, co-author Harry
Borden , Appl.
Math. E-Notes, 11(2011), 133-138.
[3] Penalty finite element solutions to the stationary power-law Stokes
problem, co-author L. Lefton, J. Numer.
Math., Vol. 11, No. 4, (2003) pp. 301-322.
[4] Finite element solutions of heat transfer in molten polymer flow in
tubes with viscous dissipation, co-author
H.B. Luo, International J. of Heat and Mass Transfer,
Vol. 46, Issue 16, (2003), pp. 3097-3708.
[5] Penalty approximations to the stationary power-law Navier-Stokes problem, Numer.Funct.
Anal. Optim. 22 (5& 6), (2001) pp. 749-765.
[6] Decay estimates of heat transfer to molten polymer flows in pipes
with viscous dissipation, co-author Z.B. Zhang, Electron. J. Dif. Eqns.,
2001, No. 39, (2001) pp.1-14.
[7] A penalty method for approximations of the stationary power-law
Stokes problem, co-author L. Lefton, Electron. J.
Dif. Eqns., 2001 , No. 07, (2001) pp. 1-12.
[8] A Priori -error estimates for Galerkin
approximations to porous medium and fast diffusion equations, co-author L. Lefton, Mathematics of Computation, 68, No. 227,
(1999) pp. 971-989.
[9] Numerical approximation of the first eigenpair
of the p-Laplacian using finite elements and penalty
method, co-author L. Lefton, Numer.
Funct.
Anal. Optimiz., 18 (3&4) (1997) pp. 389-399.
[10] On radial solutions of to a nonlinear p-harmonic Dirichlet problem, co-author R. Saxton, Applicable Anal.,
51 (1993) pp. 59-80.
[11] Existence, uniqueness and numerical analysis of solutions of a
quasi-linear parabolic problem, S.I.A.M. J. Num. Anal., 29 (1992) pp.
484-497.
[12] Finite element approximation of the first eigenpair
of a nonlinear problem, Numer.Funct. Anal. Optimiz. 12 (5&6) (1991) pp. 611-620.
[13] An existence theorem for weak solution of a nonlinear dam problem,
Applicable Anal. 34 (1989)
219-230.
[14] Finite element
approximations of solutions for p-harmonic equation with Dirichlet
data, Numer. Funct. Anal.
Optimiz. 10 (11&12) (1989) pp. 1235-1251.
Refereed proceedings
[1]
Nonlinear Wave Equations Arising in Modeling of Some Strain-Hardening
Structures, Proceedings, Joint Conf. of
the 6th Int. Conf. of Computational Physics and Conf. of Computational
Physics, (2005) pp.248-251.
[2]
Finite element error analysis of a quasi-linear evolution equation, Proceedings
of 93 LSUs Evolution Equations
Conference, Marcel Dekker Lecture Notes Series: Evolution Euations, 18 (1994) pp. 439-444.
[3]
Finite element solutions of pressure-driven flow of power-law fluid in
partially filled pipes, co-author L. Lefton,
Conference on Scientific and Engineering Computing for Young Chinese
Scientists, (1993) pp. 424-429.
[4]
Existence of solutions to the stationary power-law Navier-Stokes
problem on bounded convex domains, Proceedings of the Third International
Conference on Dynamic Systems and Applications, (2001) pp. 611-618.
Contributed papers
[1]
SIAM 40th Anniversary Meeting, Los Angeles,CA,July
20-24, 1992
[2] Int. Conf. on Industrial and Applied Mathematics, Washington, D.C., July
8-12, 1991
[3] Int. Conf. on Theory and Applications of Diff. Eqns., Edinburg, TX, May 15-18,1991
[4] Int. Conf. on Differential Equations & Math. Physics, Birmingham, AL,
March 15-21,1990
[5] Texas P.D.E. Conference, Houston, TX, April 9, 1989
[6] Tulane University
applied analysis seminar, New Orleans, LA, March 27, 1989
Training Workshops
[1] Workshop on FEMLAB, Bio-Engineering Department, Tulane University, New Orleans, LA, 2006
[3] Workshop on Meshfree Methods, the
University of Iowa, Iowa City, IA, November 4-5, 2000
[4] Introduction to
ANSYS-Part 2, ANSYS, Inc. Southpointe, Canonsburg,
PA, May 14-15, 1998
[5] Computational Fluid
Dynamics Using Finite Element Analysis, hosted by College of Engineering,
University of Maryland and organized by Mallett
technology, Inc., Nov. 14-16, 1994
[6] Finite Elements in
Fluids and Heat Transfer, University of Texas, TX, Oct. 1992
Review for books and Journal Publications:
[1] International Journal of Heat
and Mass Transfer
[2] S.I.A.M. J. Num. Anal.
[3] Numerical Methods for Partial
Differential Equations
[4] Journal of Scientific
Computing
[5] System Science &
Mathematics
[6] The
Arabian Journal for Science and Engineering
[7] Mathematical and
Computer Modelling
[8] Brooks/Cole Publishing
Company