研究內容
模型化簡,不確定性量化,大數據算法,偏微分方程數值解,有限元方法,區域分解方法
代表論文
Qifeng Liao and Karen Willcox, A domain decomposition approach for uncertainty analysis, SIAM Journal on Scientific Computing, 37 (2015),pp. A 103–A133.
Howard Elman and Qifeng Liao, Reduced basis collocation methods for partial differential equations with random coefficients, SIAM/ASA Journal on Uncertainty Quantification, 1 (2013), pp. 192–217.
Qifeng Liao and David Silvester, Implicit solvers using stabilized mixed approximation, International Journal for Numerical Methods in Fluids,71 (2013), pp. 991–1006.
Qifeng Liao and David Silvester, Robust stabilized Stokes approximation methods for highly stretched grids, IMA Journal of Numerical Analysis,33 (2013), pp. 413–431.
Qifeng Liao and David Silvester, A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations, Applied Numerical Mathematics, 62 (2012), pp. 1242–1256.
