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Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：107/0  |  提交时间：2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual  
Study on convex optimization with least constraint violation under a general measure 期刊论文
OPTIMIZATION, 2022, 页码: 32
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：172/0  |  提交时间：2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem  
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载：100/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 卷号: 91, 期号: 334, 页码: 623-657
作者:  Liang, Qigang;  Xu, Xuejun
收藏  |  浏览/下载：153/0  |  提交时间：2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
作者:  Chen, Chuchu;  Hong, Jialin;  Sim, Chol;  Sonwu, Kwang
收藏  |  浏览/下载：169/0  |  提交时间：2020/10/12
Hamiltonian wave equations  Energy preservation  EQUIP multi-symplectic methods  
Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 84, 期号: 3, 页码: 27
作者:  Dai, Xiaoying;  Kuang, Xiong;  Xin, Jack;  Zhou, Aihui
收藏  |  浏览/下载：150/0  |  提交时间：2020/10/12
Proper orthogonal decomposition  Galerkin projection  Error indicator  Adaptive  Two grid  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载：181/0  |  提交时间：2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载：168/0  |  提交时间：2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 99, 页码: 8
作者:  Luo, Fusheng;  Xie, Hehu;  Xie, Manting;  Xu, Fei
收藏  |  浏览/下载：189/0  |  提交时间：2020/01/10
Molecular beam epitaxy  Adaptive time-stepping method  Equidistribution of energy  Equidistribution of roughness