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  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    DOI:10.4208/cicp.OA-2020-0167
    49108 3206 pp. 423-447
  • Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

    Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0199
    64108 3617 pp. 2075-2108
  • Distributional Sensitivity for Uncertainty Quantification

    Akil Narayan, Dongbin Xiu
    2011-10-01
    DOI:10.4208/cicp.160210.300710a
    39019 4407 pp. 140-160
  • Variance-Based Global Sensitivity Analysis via Sparse-Grid Interpolation and Cubature

    Gregery T. Buzzard, Dongbin Xiu
    2011-03-05
    DOI:10.4208/cicp.230909.160310s
    39323 3873 pp. 542-567
  • A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

    Youssef Marzouk, Dongbin Xiu
    2009-06-01
    38615 4123 pp. 826-847
  • Fast Numerical Methods for Stochastic Computations: A Review

    Dongbin Xiu
    2018-04-11
    44353 4617 pp. 242-272
  • Galerkin Method for Wave Equations with Uncertain Coefficients

    David Gottlieb, Dongbin Xiu
    2018-03-24
    39936 4246 pp. 505-518
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