College of Arts & Sciences Mathematical Sciences

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Nan Jiang

Nan Jiang
Associate Professor
Mathematics, College of Arts & Sciences
UD Dakota Hall 337
Phone: 605-677-5992
Education:
  • MS, Computer Science, Kansas State University, 2002
  • Ph D, Mathematics, Kansas State University, 2000
  • MS, Mathematics, Kansas State University, 1997
Research:
  • College of Arts & Sciences Travel Grant , College of Arts & Sciences , (2008 - 2008)
  • College of Arts & Sciences Travel Grant , College of Arts & Sciences , (2009 - 2010)
  • College of Arts and Sciences Travel Supplement Grant , College of Arts and Sciences , (2004 - 2004)
  • University of South Dakota Research Council Travel Grant , USD Research Council , (2006 - 2006)
  • University of South Dakota Research Council Travel Grant , USD Research Council , (2004 - 2004)
Publications:
  • Lin, Y., Lio, Y., Chen, D., Jiang, N., (2015), Modeling Based on Progressively Type-I Interval Censored Sample , Springer.
  • Tsai, T., Lio, Y., Jiang, N., , (2014), Optimal Decisions on the Accelerated Degradation Test Plan under the Wiener Process, Journal of Quality Technology and Quantitative Management, vol. 11, iss. 4, pp. 461-470.
  • Jiang, N., (2014), The Convergence of $\alpha$ Schemes for Conservation Laws II: Fully-discrete Case, (2014) Journal of Methods and Applications of Analysis, vol. 21, iss. 2, pp. 201-220.
  • Balakrishnan, N., Jiang, N., Tsai, T., Lio, Y., Lio, Y., Chen, D., Reliability Inference on Composite Dynamic Systems Based on Burr Type-XII Distribution, IEEE Transactions on Reliability.
  • Chen, D., Lio, Y., Jiang, N., (2013), Lower Confidence Limits on the Generalized Exponential Distribution Percentiles under Progressive Type-I Interval Censoring , Journal of Communications in Statistics-Simulation and Computaion , vol. 42, iss. 09, pp. 2106-2117.
  • Jiang, N., (2013), The Convergence of $\alpha$ Schemes for Conservation Laws I: Semi-discrete Case, Journal of Methods and Applications of Analysis, vol. 19, iss. 4, pp. 341-358.
  • Lio, Y., Tsai, T., Aslam, M., Jiang, N., Control Charts for Monitoring Burr Type X Percentiles, Journal of Communications in Statistics - Simulation and Computation, pp. 1-17.
  • Jiang, N., (2012), On the Convergence of Semi-Discrete High Resolution Schemes with superbee Flux Limiter for Conservation Laws , Series in Contemporary Applied Mathematics CAM 18, Hyperbolic Problems (Theory, Numerics and Applications), vol. 2, iss. CAM 18, pp. 431-438.
  • Jiang, N., (2012), Extremum Traceableness of the TVB Schemes , the 2nd International Conference on Mathematics and Statistics Jun. 2008, Athens, Greece, vol. 2, pp. 55-67.
  • Jiang, N., (2009), On the Convergence of Fully-Discrete High-Resolution Schemes with van Leer’s Flux Limiter for Conservation Laws, Journal of Methods and Applications of Analysis , vol. 16, iss. 3, pp. 403-422.
  • Jiang, N., Yang, H., (2005), On Convergence of Semi-Discrete High Resolution Schemes with van Leer's Flux Limiter for Conservation Laws, Journal of Methods and Applications, vol. 12, iss. 1, pp. 089-102.
  • Jiang, N., Yang, ., (2004), On Wavewise Entropy Inequalities for High-Resolution Schemes with Source Terms I: The Semi-Discrete Case, Journal of Methods and Applications, vol. 10, iss. 4, pp. 487-512.
  • Jiang, N., (2002), Adapting PAGS (Parallel Adaptive Grid Simulation) as a Software Framework for Solving Systems of Linear Equations, Kanstate State University, pp. 1-59.
  • Jiang, N., Lin, Y., (1988), On the Unicity Theorems of the Meromorphic Functions, Journal of Fujian Normal University, vol. 4, iss. 1, pp. 33-38.
  • Jiang, N., (1986), On a Rotation Theorem of Subordinate Functions, Journal of Fujian Normal University, vol. 2, iss. 2, pp. 17-24.
  • Jiang, N., (1985), On a Property of Meromorphic Functions, Journal of Fujian Normal University, vol. 2, iss. 1, pp. 19-22.
Awards and Honors:
  • Nominee of Belbas-Larson Awards for Excellence in Teaching, 2010, USD, 2010
  • List on Cambridge Who’s Who 2010-2011, Cambridge Who's Who, 2010
Presentations:
  • Brown, T., Lio, Y., Jiang, N. (2014, August). Quality Control Charts for Generalized Exponential Lifetime Percentiles. Presented at the the 2014Iinternational Joint Statistical Meetings , Boston, Massachusetts.
  • Lio, Y., Tsai, T., Lin, C., Sung, Y., Chou, P., Chen, C., Jiang, N., Chiang, J. (2014, July). Planning Acceierated Degradation Test with Wiener Diffusion Process. Presented at the The 3rd Institute of Mathematical Statistics Asia Pacific Rim Meeting, Taipei, Taiwan.
  • Rezac, J., Lio, Y., Jiang, N. (2014, April). Control Charts for Monitoring Burr Type-XII Percentiles. Presented at the 2014 National Conference on Undergraduate Research, University of Kentucky.
  • Jiang, N. (2014, January). The Convergence of a Class of Third Order Schemes for Conservation Laws. Presented at the 2014 Natinonal Joint Mathematics Meetings, Baltimore, MD.
  • Jiang, N. (2013, March). Discover research projects from Calculus. Presented at the Undergraduate Seminar, AS 103.
  • Jiang, N. (2013, February). Convergence analysis of the method of lines - a family of second to third order accuracy scheme. Presented at the Department Seminar, Vermillion, SD.
  • Jiang, N. (2013, January). On the Convergence of Alpha Schemes. Presented at the National Joint Mathematics Meetings, San Diego.
  • Jiang, N. (2012, June). How to Develop an Undergraduate Research Project. Presented at the Invited Seminar, Guiyang, China.
  • Jiang, N. (2010, December). Root Finding and Much More - for Nonlinear Problems. Presented at the Dept Seminar, Vermillion, SD.
  • Jiang, N. (2010, June). On the Convergence of Semi-Discrete High Resolution Schemes with superbee Flux Limiter for Conservation Laws. Presented at the The Thirteenth International Conference on Hyperbolic Problems: Theory, Numeric and Applications, Beijing, China.
  • Jiang, N. (2010, June). A Class of Semi-Discrete Schemes and the Convergence Analysis. Presented at the Invited Seminar, Guiyang, China.
  • Jiang, N. (2010, May). My Recent Results in a Family of Open Problems. Presented at the Invited Seminar, Kaili, China.
  • Jiang, N. (2010, May). Mathematics and its Applications. Presented at the Invited Seminar, Guizhou, China.
  • Jiang, N. (2010, April). The Convergence of a Class of Methods - Semi-Discrete Case. Presented at the Dept Seminar, Vermillion, SD.
  • Jiang, N. (2010, April). A Follow up on the Sweby's Conjecture -My Solution in the Fully-Discrete Case. Presented at the Mathematical Association of America, Nebraska/Southeast South Dakota Section Meetings, USD.
  • Jiang, N. (2010, January). On the Convergence of Fully-Discrete High-Resolution Schemes with van Leer’s Flux Limiter for Conservation Laws. Presented at the National Joint Mathematics Meetings, San Francisco, CA .
  • Jiang, N. (2008, June). American vs. Chinese Higher Education System. Presented at the Invited Seminar, Guiynag, Guizhou, P. R. China.
  • Jiang, N. (2008, June). Extremum Traceableness of the TVB Schemes. Presented at the 2nd International Conference on Math and Statistics Athens, Greece , Athens, Greece.
  • Jiang, N. (2007, May). Flux Limiter Methods for Conservation Laws: Fully Discrete Schemes. Presented at the NSF/CBMS Regional Research Conference on Numerical Methods for Nonlinear Elliptic Equations, University of Iowa.
  • Jiang, N. (2007, April). Conservative Schemes and Sweby’s Conjecture. Presented at the Dept Seminar, Vermillion, SD.
  • Jiang, N. (2006, September). On Convergence of Semi-Discrete High Resolution Schemes with van Leer’s Flux Limiter for Conservation Laws. Presented at the International Conference on Numerical Analysis and Optimization, Beijing, China.
  • Jiang, N. (2006, April). Extension of the WEI (Wavewise Entropy Inequalities) Framework and the Convergence Analysis of the MUSCL (Monotonic Upstream-Centered Scheme for Conservation Laws) Schemes. Presented at the Dept Seminar, Vermillion, SD.
  • Jiang, N. (2005, May). WEI (Wavewise Entropy Inequalities) Approach and the Convergence of Semi-Discrete High Resolution Schemes with Flux Limiter for Conservation Laws. Presented at the Midwest Numerical Analysis Conference, University of Iowa.
  • Jiang, N. (2005, March). A Class of High Resolution Schemes and the Convergence Analysis. Presented at the Dept Seminar, Vermillion, SD.
  • Jiang, N. (2004, June). On Wavewise Entropy Inequalities for High-Resolution Schemes with Source Terms I: The Semi-Discrete Case. Presented at the The 2004 Hawaii International Conference on Statistics and Mathematics, Honolulu, Hawaii.
  • Jiang, N. (2003, March). Conservative Schemes and Convergence Analysis by the Methods of WEI (Wavewise Entropy Inequalities) vs. CEI (Cell Entropy Inequalities). Presented at the Mathematical Association of America, Nebraska/Southeast South Dakota Section Meetings, USD.