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Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
作者:  Zhao, Zhongliu;  Zhang, Wensheng
收藏  |  浏览/下载：123/0  |  提交时间：2023/02/07
Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
作者:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
收藏  |  浏览/下载：92/0  |  提交时间：2023/02/07
Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
Exploratory Adversarial Attacks on Graph Neural Networks for Semi-Supervised Node Classification 期刊论文
PATTERN RECOGNITION, 2023, 卷号: 133, 页码: 12
作者:  Lin, Xixun;  Zhou, Chuan;  Wu, Jia;  Yang, Hong;  Wang, Haibo;  Cao, Yanan;  Wang, Bin
收藏  |  浏览/下载：135/0  |  提交时间：2023/02/07
Gradient -based attacks  Maximal gradient  Graph neural networks  Semi-supervised node classification  
Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
作者:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
收藏  |  浏览/下载：57/0  |  提交时间：2023/02/07
Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 168, 页码: 12
作者:  Ren, Han-Jing;  Guo, Bao-Zhu
收藏  |  浏览/下载：68/0  |  提交时间：2023/02/07
Coupled wave equations  Uniform exponential stability  Order reduction finite -difference method  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：125/0  |  提交时间：2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
收藏  |  浏览/下载：136/0  |  提交时间：2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 160, 页码: 9
作者:  Liu, Jiankang;  Hao, Ruiqi;  Guo, Bao-Zhu
收藏  |  浏览/下载：104/0  |  提交时间：2022/06/21
Schrodinger equation  Exponential stability  Uniform approximation  Order reduction method  
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 42
作者:  Lyu, Maohui;  Bokil, Vrushali A.;  Cheng, Yingda;  Li, Fengyan
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
Maxwell's equations  Kerr and Raman nonlinear effects  Linear Lorentz  Nodal discontinuous Galerkin methods  Energy stable  High dimensions  
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3, 页码: 24
作者:  Ding, Qianqian;  Long, Xiaonian;  Mao, Shipeng
收藏  |  浏览/下载：82/0  |  提交时间：2022/04/02
Magnetohydrodynamic  Magnetic vector potential  Finite element method  Error estimates