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A Nitsche Hybrid Multiscale Method with Non-matching Grids 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
Authors:  Ming, Pingbing;  Song, Siqi
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Multiscale PDE  Hybrid method  Nitsche variational formulation  Non-matching grid  
Improved two-step Newton's method for computing simple multiple zeros of polynomial systems 期刊论文
NUMERICAL ALGORITHMS, 2022, 页码: 32
Authors:  Li, Nan;  Zhi, Lihong
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Polynomial system  Simple multiple zero  Newton's method  Quadratic convergence  
Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings 期刊论文
APPLICABLE ANALYSIS, 2022, 卷号: 101, 期号: 1, 页码: 14-34
Authors:  Rashid, M. H.;  Yuan, Ya-xiang
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Generalized equation  set-valued mappings  metrically regular mappings  restricted Newton-type method  semi-local convergence  
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
Authors:  Hou, Baohui;  Liang, Dong
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AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
Stein variational gradient descent with local approximations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 386, 页码: 20
Authors:  Yan, Liang;  Zhou, Tao
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Stein variational gradient decent  Bayesian inference  Deep learning  Local approximation  
Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 8, 页码: 3550-3561
Authors:  Zhu, Shuaibing;  Zhou, Jin;  Lu, Jinhu;  Lu, Jun-An
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Synchronization  Symmetric matrices  Nonlinear systems  Couplings  Robustness  Linearization techniques  Finite-time synchronization (FTS)  impulsive network  local synchronization  nonlinearity  
Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 4, 页码: 781-798
Authors:  Wei, Guodong
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Willmore functional  bubble tree  conformal immersion  
Central discontinuous Galerkin methods on overlapping meshes for wave equations 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 329-356
Authors:  Liu, Yong;  Lu, Jianfang;  Shu, Chi-Wang;  Zhang, Mengping
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Optimal error estimates  central DG method  second order wave equation  dispersion analysis  
Compactness of Surfaces in R-n with Small Total Curvature 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2021, 页码: 33
Authors:  Sun, Jianxin;  Zhou, Jie
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Isothermal radius  Compactness  Bi-Lipschitz parametrization  Total curvature  
Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 1, 页码: 194-218
Authors:  Geng, Yidan;  Song, Minghui;  Lu, Yulan;  Liu, Mingzhu
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Stochastic differential equations with piecewise continuous argument  local Lipschitz condition  Khasminskii-type condition  truncated Euler-Maruyama method  convergence and stability