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Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：170/0  |  提交时间：2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 卷号: 80, 页码: 22
作者:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：184/0  |  提交时间：2020/01/10
Hirota equation  Non-zero boundary conditions  Inverse scattering  Riemann-Hilbert problem  Solitons  Breathers  
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:  Gong, Wei;  Liu, Wenbin;  Tan, Zhiyu;  Yan, Ningning
收藏  |  浏览/下载：210/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 356, 页码: 1-21
作者:  Shen, Yue;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载：190/0  |  提交时间：2020/01/10
Elliptic optimal control problem  Robin boundary control  Adaptive finite element method  Convergence and quasi-optimality  
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 x 4 Lax pair on a finite interval 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 卷号: 60, 期号: 8, 页码: 47
作者:  Yan, Zhenya
收藏  |  浏览/下载：162/0  |  提交时间：2020/01/10
Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 453, 期号: 1, 页码: 529-557
作者:  Chang, Lili;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Dirichlet boundary control  Weak boundary penalization  Finite element method  A priori error estimate  
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：538/166  |  提交时间：2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation 期刊论文
MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 页码: 1-8
作者:  Jin, Xue-Lian;  Zhang, Yang;  Zheng, Fu;  Guo, Bao-Zhu
收藏  |  浏览/下载：104/0  |  提交时间：2018/07/30
A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 4, 页码: 297-313
作者:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Multiscale control problem  Mixed finite element  Homogenization  A prior error estimates  
Affine bracket algebra theory and algorithms and their applications in mechanical theorem proving 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 卷号: 50, 期号: 7, 页码: 941-950
作者:  Zhang, Ning;  Li, Hong-bo
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
mechanical theorem proving  geometric invariance  bracket algebra  affine geometry  affine bracket algebra