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An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 28, 期号: 5, 页码: 2180-2205
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：131/0  |  提交时间：2021/01/14
Bayesian inverse problems  deep neural networks  multi-fidelity surrogate modeling  Markov chain Monte Carlo  
Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 4, 页码: 1143-1168
作者:  Tang, Tao;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载：132/0  |  提交时间：2019/03/05
Fractional PDEs  Hermite polynomials/functions  unbounded domain  spectral collocation methods  
A Gradient-Enhanced l(1) Approach for the Recovery of Sparse Trigonometric Polynomials 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 286-308
作者:  Xu, Zhiqiang;  Zhou, Tao
收藏  |  浏览/下载：143/0  |  提交时间：2019/03/05
Gradient-enhanced l(1) minimization  compressed sensing  sparse Fourier expansions  restricted isometry property  mutual incoherence  
Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 5, 页码: 1482-1503
作者:  Kong, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Fully nonlinear parabolic PDEs  second order FBSDEs  probabilistic interpretations  probabilistic numerical schemes  
Stochastic Collocation on Unstructured Multivariate Meshes 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 1, 页码: 1-36
作者:  Narayan, Akil;  Zhou, Tao
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Stochastic collocation  unstructured methes  least-squares  compressive sampling  least interpolation  
Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 8, 期号: 1, 页码: 226-248
作者:  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Hyperbolic equation  stochastic collocation methods  convergence analysis