Publications

Journals

• J. Jiang, Y. Chen and A. Narayan. A Goal-oriented Reduced Basis Methods-accelerated Generalized Polynomial Chaos Algorithm. SIAM/ASA Journal on Uncertainty Quantification, 4-1 (2016), pp. 1398-1420


• J. Jiang, Y. Chen and A. Narayan. Offline-enhanced Reduced Basis Method through Adaptive Construction of the Surrogate Training Set. Journal of Scientific Computing, Special Issue in Honor of the 60th Birthday of Chi Wang Shu, 2017


• B. Dong, J. Jiang and Y. Chen. Optimally Convergent Hybridizable Discontinuous Galerkin Method for Fifth-order Korteweg-de Vries Type Equations. Accepted by Mathematical Modeling and Numerical Analysis (ESAIM: M2AN), 2018


• Y. Chen, J. Jiang and A. Narayan. Residual-based and Residual-free Greedy Algorithms for Reduced Basis Methods.
  Accepted by Computers & Mathematics with Applications (CAMWA), 2018


• J. Jiang, R. Tuminaro, K. Carlberg. Acceleration Strategies for Uncertainty Propagation via Overlapping Domain Decomposition. [ In preparation ]


• J. Jiang, Y. Chen. Ultra-efficient Reduced Basis Method for High-dimensional Parameterized Partial Differential Equations.
  [ In preparation ]


• J. Jiang, J. Chung, E. Sturler. Truncation and Recycling Methods for Lanczos Bidiagonalization and Hybrid Regularization.
  [ In preparation ]

Technical Report

• A. Bentley, T. Hodges, J. Jiang, J. Krueger, S. Nannapaneni, T. Qiu. A Flexible Methodology for Optimal Helical Compression Spring Design. Technical Report of the Industrial Math/Stat Modeling Workshop for Graduate Students, 2015, pp. 1-17

Thesis

• J. Jiang. Reduced Basis Methods and Hybridizable Discontinuous Galerkin Method for Efficient Forward Solvers. Ph.D. Dissertation, 2018