Project description: 

The fellowship honors Dr. Alston S. Householder, founding director of the Mathematics Division at ORNL and recognizes his seminal research contributions to the fields of numerical analysis and scientific computing. Funding for the Householder Fellowship is supported by the Office of Advanced Scientific Computing Research of the U.S. Department of Energy. The purpose of the fellowship is to promote innovative research in applied mathematics and scientific computing.

Sponsor: U.S. Department of Energy, Advanced Scientific Computing Research, Applied Mathematics Program

Funding period: 2012 -- 2014

Publications:

1. G. Zhang, C. Webster, M. Gunzburger and J. Burkardt, A hyper-spherical adaptive sparse-grid method for high-dimensional discontinuity detection, SIAM Journal of Numerical Analysis, 53 (2015), pp. 1508-1536. 

2. M. Gunzburger, C. Webster and G. Zhang, Stochastic finite element methods for partial differential equations with random input data, Acta Numerica, 23 (2014), pp. 521-650. 

3. X. Zhang, C. Liu, B. Hu and G. Zhang, Uncertainty analysis of multi-rate kinetics of uranium desorption from sediments, Journal of Contaminant Hydrology, 156 (2014), pp. 1-15. 

4. M. Gunzburger, C. Webster, G. Zhang, An adaptive wavelet stochastic collocation method for irregular solutions of partial differential equations with random input data, Springer Lecture Notes on Computational Science and Engineering, 97 (2014), pp. 137-170. [PDF, bibtex]

5. G. Zhang, D. Lu, M. Ye, M. Gunzburger and C. Webster, An efficient surrogate modeling approach in Bayesian uncertainty analysis, AIP Conference Proceedings, 1558 (2013), pp. 898-901.

6. G. Zhang, D. Lu, M. Ye, M. Gunzburger and C. Webster, An adaptive sparse-grid high-order stochastic collocation method for Bayesian inference in groundwater reactive transport modeling, Water Resources Research, 49 (2013), pp. 6871-6892. 

7. G. Zhang, M. Gunzburger and W. Zhao, A sparse-grid method for multi-dimensional backward stochastic differential equations, Journal of Computational Mathematics, 31 (2013), pp. 221-248. 

Invited talks:

• SIAM Annual Meeting, Chicago, IL (Jul. 2014)

• School of Earth Sciences and Engineering, Nanjing University, Nanjing, China (May 2014)

• SIAM Conference on Uncertainty Quantification, Savannah, GA (Apr. 2014)

• SIAM SEAS Annual Meeting, Melbourne, FL (Mar. 2014)

• The 2nd International Conference on Engineering and Computational Mathematics(ECM2013), Hong Kong, China (Dec. 2013)

• Department of Mathematics, Middle Tennessee State University, Murfreesboro, TN (Nov. 2013)

• 11th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece (Sep. 2013)

• School of industrial and Systems Engineering, The Georgia Institute of Technology, Atlanta, GA (Aug. 2013)

• DOE Applied Mathematics Program PI Meeting, Albuquerque, NM (Aug. 2013)

• SIAM Annual Meeting, San Siego, CA (Jul. 2013)

• 9th International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria (Jun. 2013)

• Department of Mathematics and Statistics, Auburn University, Auburn, AL (Apr. 2013)

• SIAM SEAS Annual Meeting, Knoxville, TN (Mar. 2013)

• SIAM Meeting on Computational Science and Engineering, Boston, MA (Feb. 2013)

• 5th Workshop on High-Dimensional Approximation, Canberra, Australia (Feb. 2013)

• 45th American Geophysics Union Annual Fall Meeting, San Francisco, CA (Dec. 2012)

• Department of Mathematics, University of Tennessee, Knoxville, TN (Nov. 2012)

Other activities:

• Guannan co-organized a mini-symposium on "Recent advances in uncertainty quantification at the extreme scale", at SIAM Annual Meeting (Jul. 2014)

• Guannan co-organized a mini-symposium on "Efficient simulation of rare event", at SIAM Conference on Uncertainty Quantification (Apr. 2014)

• Guannan co-organized a mini-symposium on "Uncertainty quantification driven by large-scale applications", at SIAM Conference on Uncertainty Quantification (Apr. 2014)

• Guannan co-organized a mini-symposium on "Recent advances of numerical methods for uncertainty quantification with large-scale simulations", at SIAM SEAS Annual Meeting (Mar. 2014)

• Guannan co-organized a mini-symposium on "Recent advances in numerical methods for partial differential equations with random inputs" at SIAM Annual Meeting (Jul. 2013)

• Guannan co-organized a mini-symposium on "Forward and inverse methods in uncertainty propagation and parameter calibration", at SIAM SEAS Annual Meeting (Mar. 2013)