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THINH T. KIEU Assistant Professor |
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Department of Mathematics University of North Georgia Gainesville Campus 3820 Mundy Mill Rd., Oakwood, GA 30566 |
Office: Watkins Building 148
Phone: 678-717-3736 Email: thinh.kieu@ung.edu http://faculty.ung.edu/ttkieu/ |
Teaching.
- Summer 2017, MATH 3000 Diferrential equations.
- Summer 2017, MATH 2460 Calculus II.
- Spring 2017, MATH 3550 Numerical Analysis.
- Spring 2017, MATH 2460 Calculus II.
- Spring 2017, MATH 1113 Pre-Calculus.
- Spring 2017, MATH 1111 College Algebra.
- Fall 2016, MATH 2460 Calculus II.
- Falll 2016, MATH 1540 Calculus I.
- Fall 2016, MATH 1113 PreCalculus.
- Fall 2016, MATH 1111 College Algebra.
- Summer 2016, MATH 2460 Calculus II.
- Summer 2016, MATH 1113 PreCalculus.
- Spring 2016, MATH 3000 Differential Equations.
- Spring 2016, MATH 1450 Calculus I.
- Spring 2016, MATH 1113 Precalculus.
- Fall 2015, MATH 3000 Differential Equations.
- Fall 2015, MATH 1450 Calculus I.
- Fall 2015, MATH 1113 Precalculus.
- Summer 2015, MATH 1450 Calculus I.
- Summer 2015, MATH 0099 Intermediate Algebra.
- Spring 2015, MATH 2460 Calculus II.
- Spring 2015, MATH 1113 Precalculus.
- Spring 2015, MATH 1111 College Algebra.
- Fall 2014, MATH 1113 Precalculus.
- Fall 2014, MATH 0099 Intermediate Algebra.
- Summer 2014, MATH 3350-101. Higher Mathematics for Engineers and Scientists I.
- Summer 2014, MATH 3360-201. Foundations of Algebra I (grading).
- Spring 2014, MATH 3350-016. Higher Mathematics for Engineers and Scientists I.
- Spring 2014, MATH3350-020. Higher Mathematics for Engineers and Scientists I.
- Fall 2013, MATH 3350-009. Higher Mathematics for Enginneers and Scientists I.
- Summer 2013, MATH1321-101. Trigonometry.
- Spring 2013, MATH 2450-016. Calculus III with Applications.
- Fall 2012, MATH 1452-012. Calculus II with Applications.
Research interests.
- Partial differential equations, fluid dynamics, numerical methods for partial differential equations, Bernstein-based finite elements, spectra of Bernstein-based FEM operators.
Programing language Skills.
- Pascal, Visual Delphi, Phython, Java, Visual Basic, C, C++, Parallel programing, Maple, Mathlab, Mathematica, Geometry Sketchpad, Sundance, Fenics, MS office.
Publications.
- Thinh Kieu, A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids, Applied Numerical Mathematics, Volume 120, October 2017, 141-164. [DOI 10.1016/j.apnum.2017.05.006 ]
- Emine Celik, Akif Ibragimov, Luan Hoang, Thinh Kieu, Fluid flows of mixed regimes in porous media, Journal of Mathematical Physics, Volume 58 (2017), No. 2, 023102, 30 pp. [(doi:10.1063/1.4976195)]
- Emine Celik, Luan Hoang, Thinh Kieu, Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media, 31pp, submitted for publication. [Arxiv Preprint]
- Thinh Kieu, Numerical analysis for generalized Forchheimer equation of slightly compressible fluids, Numerical Methods for Partial Differential Equations, Volume 34 (2018), Issue 1, January 2018, 228-256, [ DOI: 10.1002/num.22194]
- Thinh Kieu, Galerkin finite element method for generalized Forchheimer equation of slightly compressible fluids in porous media, Journal of Mathematical Methods in the Applied Sciences,Volume 40, Issue 12, August 2017, 4364-4384. [DOI: 10.1002/mma.431]
- Emine Celik, Luan Hoang, Thinh Kieu, Generalized Forchheimer flows of isentropic gases, Journal of Mathematical Fluid Mechanics, Volume 20 (2018), Issue 1, March 2018, pp 83-115. [doi:10.1007/s00021-016-0313-2]
- Akif Ibraguimov, Thinh Kieu. The expanded mixed finite element method for generalized Forchheimer flows in porous media, Computers and Mathematics with Applications, Volume 72, Issue 6, September 2016, 1467-1483. [doi:10.1016/j.camwa.2016.06.029 ]
- Luan Hoang, Thinh Kieu. Interior estimates for generalized Forchheimer flows of slightly compressible fluids, Advanced Nonlinear Studies, 17(4), (2017) 739-767. [doi:10.1515/ans-2016-6027)]
- Robert C. Kirby, Thinh Kieu. Galerkin finite element methods for nonlinear Klein-Gordon equations, 13 pp, submitted for publication. [pdf]
- Luan Hoang, Thinh Kieu, Global estimates for generalized Forchheimer flows of slightly compressible fluids, 41pp, Journal d'Analyse Mathematique, accepted. [Arxiv Preprint]
- Luan Hoang, Akif Ibragimov, Thinh Kieu, Zeev Sobol. Stability of solutions to generalized Forchheimer equations of any degree, Volume 210, Number 4 (2015), 476-544, Journal of Mathematical Sciences (via journal Problems in Mathematical Analysis). [doi: 10.1007/s10958-015-2576-1 ]
- Thinh Kieu. Analysis of expanded mixed finite element methods for the generalized Forchheimer equations, Vol 32, Issue 1, 60-85, 2015, Numerical Methods for Partial Differential Equations Journal, accepted. [doi: 10.1002/num.21984] [Preprint]
- Luan Hoang, Akif Ibragimov, Thinh Kieu. A Family of steady two-phase generalized Forchheimer flows and their linear stability analysis , J. Math. Phys. 55, 123101, 32pp (2014). [DOI: 10.1063/1.4903002]
- Robert C. Kirby, Thinh Kieu. Symplectic-mixed finite element approximation of linear wave equations, J. Numerische Mathematik, Vol. 130 No. 2, Oct 2014, 257-291. [ doi:10.1007/s00211-014-0667-4, Springerlink]
- Luan Hoang, Thinh Kieu, Tuoc Phan. Properties of generalized Forchheimer flows in porous media, Problems of Mathematical Analysis, Vol. 76, August 2014, 133-194, and in Journal of Mathematical Sciences, Vol. 202 No. 2, October 2014, 259-332. [Arxiv Preprint] [ Doi:10.1007/s10958-014-2045-2]
- Luan Hoang, Akif Ibragimov, Thinh Kieu. One-dimensional two-phase Forchheimer flows for incompressible fluids, J.Math. Anal. Appln., Volume 401, Issue 2, 15 May 2013, 921-938. [doi:10.1016/j.jmaa.2012.12.055]
- Robert C. Kirby, Thinh Kieu. Fast simplicial quadrature-based finite element operators using Bernstein polynomials, Numerische Mathematik, Volume 121,Issue 2 (2012), 261-279. [Springerlink]
Work in progress.
- Galerkin FEM for generalized Forchherimmer flows in preparation,
- Statistical study of Forchheimer flows, (with Luan Hoang) in preparation.
- General fluid flows in porous media, (with Emine Celik, Luan Hoang, Akif Ibragimov) in preparation.
- Generalized Forchheimer flows in geophysical fluid dynamics, (with Emine Celik, Luan Hoang,) in preparation.
- Mixed finite element method for Global Tide Models,(with Robert C. Kirby) in preparation.
- Galerkin finite element method for nonlinear hyperbolic equations, (with Robert C. Kirby), 30 pages.
- Generalized Forchheimer flows of slightly compressible fluids. Continuous dependence, (with Luan Hoang), in preparation.
- Two-phase general Forchheimer flows of mixed compressible fluids, (with Akif Ibragimov, Luan Hoang) in preparation.
- The inverse of two-level Toeplitz operator matrix and application, (with Selcuk Koyuncu) in preparation
Thesis/Dissertation.
- Stability of solutions to generalized Forchheimer equation and finite element approximation of wave equations, Ph. D. Dissertation, Mathematics, 2014.
- On the solution of the initial-boundary value problem in theory on Sandwich plates, M.A. thesis, Mathematics, 2004.
- A differential equation of the transverse motion of an isotropic Sandwich plate and finite element method, B.S. thesis, Mathematics, 1997.
Conferences.
- Spring Southeastern Sectional Meeting 2017 Conference,
College of Charleston, Charleston, SC, March 10-12, 2017.
Presented title: "Galerkin finite element method for Generalized Forchheimer Flows of Slightly Compressible Fluids." - Join Mathematics Mettings 2017 Conference ,
Atlanta, GA, January 4--7, 2017.
Co-Organizer of special session: "PDEs for Fluid Flow: Analysis and Computation." - 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications ,
Orlando, FL, July 1-5, 2016.
Presented title: "Expanded mixed FEM for Non-Darcy flows in porous media." - SIAM SEAS 2016 Conference ,
University of Georgia, Athens, GA, March 12-13, 2016.
Co-Organizer of special session: "PDEs for Fluid Mechanics with Applications in Medical Biology." - AMS 2016 at Spring Southeastern Sectional Meeting ,
University of Georgia, Athens, GA, March 5-6, 2016.
Presented title: "Global estimates for generalized Forchheimer flows of slightly compressible fluids in porous media." - Research on Teaching and Learning Summit, Kennesaw State University's Center for Excellence in Teaching and Learning, October 2- 3, 2015.
- SIAM Conference on Application of Dynamical Systems,
Snowbird Ski and Summer Resort, Snowbird, Utah, USA, May 17-21, 2015.
Presented title: "Expanded Mixed Finite Element Method for generalized Forchheimer Flows." - AMS 2015 Spring Western Sectional Meeting ,
University of Nevada, Las Vegas, Las Vegas, NV April 18-19, 2015.
Presented title: "Expanded mixed finite element methods for the generalized Forchheimer flows of slightly compressible fluid in porous media." - Teaching and Learning, Georgia South University, March 25-27, 2015.
- SIAM Southeastern Atlantic Section Conference (SIAM-SEAS),
University of Alabama at Birmingham, March 20-22, 2015.
Presented title: "Two- phase generalized Forchheimer flows in porous media." - Research on Teaching and Learning Summit, Kennesaw State University's Center for Excellence in Teaching and Learning, February 20-21, 2015.
- AMS 2014 Fall Southeastern Sectional Meeting,
University of North Carolina at Greensboro, Greensboro, NC, November 8-9, 2014.
Presented title: "Interior estimates for generalized Forchheimer flows for slightly compressible fluids in porous media." - AMS 2014 Spring Central Sectional Meeting,
Texas Tech University, Lubbock, April 11-13, 2014.
Presented title: "A mixed finite element method for generalized Forchheimer flows in porous media." - SIAM conference on Analysis of Partial Differential Equations,
Lake Buena Vista, Florida, December 7-10, 2013.
Presented title: "Symmetric steady states and linearization for two-phase generalized Forchheimer flows." - AMS 2013 Western Fall Sectional Meeting,
University of California Riverside, Riverside, CA November 2-3, 2013.
Presented title: "Stability of solution to generalized Forchheimer equations of any degree." - AMS 2013 Fall Southeastern Sectional Meeting,
University of Louisville, Louisville, KY October 5-6, 2013.
Presented title: "Properties of generalized Forchheimer flows in porous media." - Southeastern-Atlantic Regional Conference on Differential Equations,
The University of Tennessee September 21 and 22, 2013.
Contributed talks: " L^{alpha}-Stability for generalized Forchheimer equations in Porous Media." - MAA Section Meeting,
Texas Tech University,Texas, April 11-13, 2013.
Presented title: "Interior Dynamic of Generalized Forchheimer Flows in Porous Media under degree condition." -
AMS 2013 Joint Mathematics Meetings, San Diego, California,
San Diego Convention Center and San Diego Marriott Hotel and Marina, San Diego, CA, January 9-12, 2013.
Contributed talk: "Galerkin finite element method for semilinear hyperbolic equations." - AMS 2012 Fall Western Section Meeting,
University of Arizona, Tucson, AZ, October 27-28, 2012.
Presented title: "The one-dimensional two-phase Forchheimer flows for incompressible fluids." - AMS 2012 Central Fall Section Meeting,
University of Akron, Akron, OH, October 20-21, 2012.
Presented title: "Stability of solutions to generalized Forchheimer equations of any degree." - The 9th AIMS Conference on Dynamical Systems,
Differential Equations and Applications Orlando, Florida, USA, July 1-5, 2012.
Presented title:"Equilibria and linearization of the one-dimensional Forchheimer equation for incompressible two-phase flows." - Recent developments in discontinuous Galerkin Finite Element Methods for partial differential equations, The 2012 John H. Barrett Lectures, May 9-11, 2012, Department of Mathematics The University of Tennessee, Knoxville.
- Finite Element RODEO Conference,
Rice University, Houston, TX, USA, March 2-3, 2012.
Presented title: "Mixed finite element approximation of linear wave equation." - SIAM Conference on Analysis of Partial Differential Equations (PD11), San Diego Marriott Mission Valley, San Diego, CA, USA, November 14-17, 2011.
- High Level Mathematical Software for PDE's FEniCS'11, Department of Mathematics and Statistics Texas Tech University, November 3-5, 2011.
- Mathematical Modeling in Population Biology and Epidemiology, Department of Mathematics and Statistics Texas Tech University, October 28-30, 2010.
- Analysis of Non-Linear Flows in Heterogeneous Porous Media and Applications, Department of Mathematics and Statistics Texas Tech University, October 29-31, 2009.
- AMS Sectional Meeting Program , Fall Central Section Meeting Waco, TX, October 16-18, 2009.
- Conference of innovating methods of teaching Mathematics, Hanoi, Vietnam, June 2005. Course and scientific report was conducted by professor French mathematicians at National University, Hochiminh City, Vietnam, Vietnam, April 1996.
Seminars.
- Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Feb. 1, 2016.
Presented title: "Structural stability to Non-Darcy flows for slightly compressible fluid in porous media. - Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Oct. 21, 2015.
Presented title: "Teaching Mathematics using Maple (part I). - Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Oct. 12, 2015.
Presented title: "Lp-estimate for general Forchheimer flows in porous media (part I) . - Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Feb. 16, 2015.
Presented title: "Webwork . - Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Jan. 26, 2015.
Presented title: "Steady state for two-phase generalized Forchheimer flows and linear stability analysis in 1D . - Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Sep. 15, 2014.
Presented title: "Mixed finite element methods for wave equations . - Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, January 29, 2014.
Presented title: "A study of steady two-phase generalized Forchheimer flows and their linear stability analysis". - Applied Mathematics Seminar, College of William and Mary, Williamsburg, VA, Nov. 22, 2013.
Presented title: "Finite element approximation of hyperbolic equations and generalized Forchheimer equations in porous media". - Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, September 11, 2013.
Presented title: "Structural Stability of Generalized Forchheimer flows in porous media. - Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, March 27, 2013.
Presented title: "Structural Stability of Generalized Forchheimer flows of any Degree. - Applied Mathematics Seminar, Baylor University, Waco, TX, November 1, 2012.
Presented title: " Numerical analysis of hyperbolic equations." - Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, October 3, 2012.
Presented title: "The one-dimensional two-phase Forchheimer flows for incompressible fluids. - Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, USA, March 21, 2012.
Presented title: Simplectic mixed finite element for acoustic linear wave equation using Raviart-Thomas element.
Research experience.
- 2014 - Present: Assistant Professor at Department of Mathematics, University of Noth Georgia, GA, USA.
- 2009 - 2014: Research Assistant at Department of Mathematics and Statistics, Texas Tech University, TX, USA.
- 2004 - 2007: Research Assistant at Department of Mathematics and Computer Science, National University, Hochiminh City, Vietnam.
- 1997 - 1998: Research Assistant at Institute of Applied Mechanics and Informatics, Hochiminh City, Vietnam.
Education.
- 2009 - 2014: Texas Tech University Lubbock, TX, Ph. D., Mathematics.
- 2008 - 2009: University of California Davis, CA.
- 2002 - 2004: National University, Hochiminh City, Vietnam, M. S.,Mathematics and Computer Science.
- 1993 - 1997: National University, Hochiminh City, Vietnam, B. S., Mathematics and Computer Science