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Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 38
作者:  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载:96/0  |  提交时间:2022/06/21
incompressible hyperbolic Navier-Stokes equations  hydrostatic approximation  hyperbolic Prandtl system  
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
作者:  Zhang, Shuo
收藏  |  浏览/下载:137/0  |  提交时间:2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
Analysis of a time-dependent fluid-solid interaction problem above a local rough surface 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 5, 页码: 887-906
作者:  Wei, Changkun;  Yang, Jiaqing
收藏  |  浏览/下载:128/0  |  提交时间:2020/09/23
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
Hexahedral constraint-free finite element method on meshes with hanging nodes 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 12, 页码: 2591-2616
作者:  Zhao, Xuying;  Shi, Zhong-Ci
收藏  |  浏览/下载:139/0  |  提交时间:2020/05/24
adaptive finite element  a posteriori error estimate  hexahedral  nonconforming element  hanging node  
Homotopy of gauge groups over non-simply-connected five-dimensional manifolds 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 页码: 32
作者:  Huang, Ruizhi
收藏  |  浏览/下载:119/0  |  提交时间:2020/05/24
gauge group  5-manifolds  homotopy decompositions  homotopy exponents  homotopy groups  rational homotopy theory  Bott periodicity  
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 9, 页码: 1567-1588
作者:  Ding, Zhaodong;  Shang, Zaijiu
收藏  |  浏览/下载:145/0  |  提交时间:2018/10/07
Hamiltonian systems  symplectic integrators  KAM theory  invariant tori  twist symplectic mappings  Russmann's non-degeneracy  
Regularization of quasi-plurisubharmonic functions on complex manifolds 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 7, 页码: 1163-1174
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:150/0  |  提交时间:2018/07/30
regularization theorem  quasi-plurisubharmonic function  multiplier ideal sheaf  L-2 estimate  extension theorem  
Robustness properties of dimensionality reduction with Gaussian random matrices 期刊论文
SCIENCE CHINA-MATHEMATICS, 2017, 卷号: 60, 期号: 10, 页码: 1753-1778
作者:  Han, Bin;  Xu, ZhiQiang
收藏  |  浏览/下载:125/0  |  提交时间:2018/07/30
phase retrieval  finite frames  sparse approximation  restricted isometry property  Johnson-Lindenstrauss lemma  
Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 11, 页码: 2245-2264
作者:  Meng XiangYun;  Yang XueQin;  Zhang Shuo
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
d-rectangular Morley element  second order elliptic equation  convergence analysis  super convergence  lower bound estimate  
A class of transformation rate models for recurrent event data 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 11, 页码: 2227-2244
作者:  Zhang Hu;  Yang QingLong;  Qu LianQiang
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
Aalen model  estimating equations  recurrent event data  time-varying coefficients  transformation rate models