Nan Jiang

Nan Jiang
Associate Professor
Mathematics, College of Arts & Sciences
UD Dakota Hall 337
Phone: 6056775992
Email: Nan.Jiang@usd.edu

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 , (2009  2010)
 College of Arts & Sciences Travel Grant , College of Arts & Sciences , (2008  2008)
 University of South Dakota Research Council Travel Grant , USD Research Council , (2006  2006)
 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 , (2004  2004)
Publications:
 Jiang, N., (2014), The Convergence of $\alpha$ Schemes for Conservation Laws II: Fullydiscrete Case, (2014) Journal of Methods and Applications of Analysis, vol. 21, iss. 2, pp. 201220.
 Balakrishnan, N., Jiang, N., Tsai, T., Lio, Y., Lio, Y., Chen, D., Reliability Inference on Composite Dynamic Systems Based on Burr TypeXII Distribution, IEEE Transactions on Reliability.
 Chen, D., Lio, Y., Jiang, N., (2013), Lower Confidence Limits on the Generalized Exponential Distribution Percentiles under Progressive TypeI Interval Censoring , Journal of Communications in StatisticsSimulation and Computaion , vol. 42, iss. 09, pp. 21062117.
 Tsai, T., Lio, Y., Jiang, N., , Optimal Decisions on the Accelerated Degradation Test Plan under the Wiener Process, Journal of Quality Technology and Quantitative Management.
 Jiang, N., (2013), The Convergence of $\alpha$ Schemes for Conservation Laws I: Semidiscrete Case, Journal of Methods and Applications of Analysis, vol. 19, iss. 4, pp. 341358.
 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. 117.
 Jiang, N., (2012), On the Convergence of SemiDiscrete 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. 431438.
 Jiang, N., (2012), Extremum Traceableness of the TVB Schemes , the 2nd International Conference on Mathematics and Statistics Jun. 2008, Athens, Greece, vol. 2, pp. 5567.
 Jiang, N., (2009), On the Convergence of FullyDiscrete HighResolution Schemes with van Leer’s Flux Limiter for Conservation Laws, Journal of Methods and Applications of Analysis , vol. 16, iss. 3, pp. 403422.
 Jiang, N., Yang, H., (2005), On Convergence of SemiDiscrete High Resolution Schemes with van Leer's Flux Limiter for Conservation Laws, Journal of Methods and Applications, vol. 12, iss. 1, pp. 089102.
 Jiang, N., Yang, ., (2004), On Wavewise Entropy Inequalities for HighResolution Schemes with Source Terms I: The SemiDiscrete Case, Journal of Methods and Applications, vol. 10, iss. 4, pp. 487512.
 Jiang, N., (2002), Adapting PAGS (Parallel Adaptive Grid Simulation) as a Software Framework for Solving Systems of Linear Equations, Kanstate State University, pp. 159.
 Jiang, N., Lin, Y., (1988), On the Unicity Theorems of the Meromorphic Functions, Journal of Fujian Normal University, vol. 4, iss. 1, pp. 3338.
 Jiang, N., (1986), On a Rotation Theorem of Subordinate Functions, Journal of Fujian Normal University, vol. 2, iss. 2, pp. 1724.
 Jiang, N., (1985), On a Property of Meromorphic Functions, Journal of Fujian Normal University, vol. 2, iss. 1, pp. 1922.
Awards and Honors:
 Nominee of BelbasLarson Awards for Excellence in Teaching, 2010, USD, 2010
 List on Cambridge Who’s Who 20102011, Cambridge Who's Who, 2010
Presentations:
 Lio, Y., Tsai, T., Lin, C., Sung, Y., Chou, P., Chen, C., Jiang, N., Chiang, J. (2014, June). 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 TypeXII 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 SemiDiscrete 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 SemiDiscrete 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  SemiDiscrete Case. Presented at the Dept Seminar, Vermillion, SD.
 Jiang, N. (2010, April). A Follow up on the Sweby's Conjecture My Solution in the FullyDiscrete Case. Presented at the Mathematical Association of America, Nebraska/Southeast South Dakota Section Meetings, USD.
 Jiang, N. (2010, January). On the Convergence of FullyDiscrete HighResolution 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 SemiDiscrete 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 UpstreamCentered 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 SemiDiscrete 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 HighResolution Schemes with Source Terms I: The SemiDiscrete 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.