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CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载：143/0  |  提交时间：2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 16
作者:  Liao, Hong-Lin;  Song, Xuehua;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：139/0  |  提交时间：2021/04/26
molecular beam epitaxial growth  variable-step BDF2 scheme  discrete orthogonal convolution kernels  energy stability  convergence analysis  
Quasi-Potential Calculation and Minimum Action Method for Limit Cycle 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2019, 卷号: 29, 期号: 3, 页码: 961-991
作者:  Lin, Ling;  Yu, Haijun;  Zhou, Xiang
收藏  |  浏览/下载：169/0  |  提交时间：2020/01/10
Rare event  Non-gradient system  Quasi-potential  Limit cycle  Minimum action method  
Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 卷号: 63, 期号: 4, 页码: 1059-1074
作者:  Zong, Xiaofeng;  Li, Tao;  Yin, George;  Wang, Le Yi;  Zhang, Ji-Feng
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
Consentability  consensus  multiagent system  multiplicative noise  time delay  
The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations 期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2018, 卷号: 66, 期号: 4, 页码: 827-839
作者:  Huang, Na;  Ma, Chang-Feng
收藏  |  浏览/下载：184/0  |  提交时间：2018/07/30
System of nonlinear matrix equations  positive definite solution  structure-preserving doubling algorithm  convergence analysis  numerical examples  65H10  65F10  15A24  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：843/153  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 卷号: 62, 期号: 9, 页码: 4834-4839
作者:  Zhang, Liangyin;  Chen, Michael Z. Q.;  Li, Chanying
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Analytic solution  quantized control  Riccati equation  solution bound  stabilizing solution  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
浏览  |  Adobe PDF(475Kb)  |  收藏  |  浏览/下载：537/166  |  提交时间：2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2015, 卷号: 49, 期号: 3, 页码: 839-854
作者:  Hu, Qiya;  Liu, Chunmei;  Shu, Shi;  Zou, Jun
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
Maxwell scattering problem  edge finite elements  PML equations  Schur complement-type preconditioner  
ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
作者:  Dai, Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory