9 paper(s) uploaded by Zhiwen_Zhang.

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1

A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms

Mulin Cheng Thomas Y Hou Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431036

Journal of Computational Physics, 242, 843-868, 2013.6
[ Download ] [ 2019-12-24 21:14:07 uploaded by Zhiwen_Zhang ] [ 818 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:07 -
2

A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations

Mulin Cheng Thomas Y Hou Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431037

Journal of Computational Physics, 242, 753-776, 2013.6
[ Download ] [ 2019-12-24 21:14:11 uploaded by Zhiwen_Zhang ] [ 788 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:11 -
3

Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain

Houde Han Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431038

Journal of Computational Physics, 227, (20), 8992-9004, 2008.10
[ Download ] [ 2019-12-24 21:14:14 uploaded by Zhiwen_Zhang ] [ 772 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:14 -
4

An analysis of the finite-difference method for one-dimensional KleinGordon equation on unbounded domain

Houde Han Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431039

Applied Numerical Mathematics, 59, (7), 1568-1583, 2009.7
[ Download ] [ 2019-12-24 21:14:17 uploaded by Zhiwen_Zhang ] [ 668 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:17 -
5

An adaptiveANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient

Zhiwen Zhang Xin Hu Thomas Y. Hou Guang Lin Mike Yan

Numerical Analysis and Scientific Computing mathscidoc:1912.431040

Communications in Computational Physics, 2014.4
[ Download ] [ 2019-12-24 21:14:21 uploaded by Zhiwen_Zhang ] [ 579 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:21 -
6

Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients

Houde Han Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431041

Communications in Mathematical Sciences, 10, (3), 945-976, 2012.9
[ Download ] [ 2019-12-24 21:14:24 uploaded by Zhiwen_Zhang ] [ 287 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:24 -
7

A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach

Thomas Y Hou Dingjiong Ma Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431042

Multiscale Modeling & Simulation, 17, (2), 826-853, 2019.6
[ Download ] [ 2019-12-24 21:14:31 uploaded by Zhiwen_Zhang ] [ 659 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:31 -
8

An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations

Zhiwen Zhang Sai-Mang Pun

Numerical Analysis and Scientific Computing mathscidoc:1912.431043

Journal of Computational and Applied Mathematics, 356, 302-313, 2019.2
[ Download ] [ 2019-12-24 21:14:41 uploaded by Zhiwen_Zhang ] [ 735 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:41 -
9

GPS trajectory data segmentation based on probabilistic logic

Sini Guo Xiang Li Wai-Ki Ching Ralescu Dan Wai-Keung Li Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431044

International Journal of Approximate Reasoning, 103, 227-247, 2018.12
[ Download ] [ 2019-12-24 21:14:52 uploaded by Zhiwen_Zhang ] [ 795 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-12-24 21:14:52 -
 
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