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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:14/0
  |  
提交时间:2021/04/26
molecular beam epitaxial growth
variable-step BDF2 scheme
discrete orthogonal convolution kernels
energy stability
convergence analysis
ON ENERGY STABLE, MAXIMUM-PRINCIPLE PRESERVING, SECOND-ORDER BDF SCHEME WITH VARIABLE STEPS FOR THE ALLEN-CAHN EQUATION
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2294-2314
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2021/01/14
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
A SECOND ORDER BDF NUMERICAL SCHEME WITH VARIABLE STEPS FOR THE CAHN-HILLIARD EQUATION
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 1, 页码: 495-525
作者:
Chen, Wenbin
;
Wang, Xiaoming
;
Yang, Yue
;
Zhang, Zhuying
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2019/08/22
variable step BDF2 scheme
convergence analysis
Cahn-Hilliard equation
A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels
期刊论文
International Journal of Computer Mathematics, 2019
作者:
Qiu, Wenlin*
;
Xu, Da
;
Chen, Hongbin
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  |  
浏览/下载:8/0
  |  
提交时间:2019/12/28
45K05
65M06
65M12
65M15
Integro-differential equations
multi-term kernels
second-order BDF scheme
second-order convolution quadrature rule
stability and convergence
A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation
期刊论文
International Journal of Computer Mathematics, 2019
作者:
Chen, Hongbin
;
Xu, Da
;
Cao, Jiliang
;
Zhou, Jun
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/28
Three-dimensional time-fractional heat equation
formally second order BDF ADI difference scheme
convolution quadrature
stability
convergence
numerical experiment
A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 134, 页码: 46-65
作者:
Li, Qi
;
Mei, Liquan
;
You, Bo
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2019/11/19
Convex splitting
Phase field crystal model
Finite element method
Energy stability
Second-order accuracy
A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation
期刊论文
Applied Mathematical Modelling, 2017, 卷号: 41, 页码: 54-67
作者:
Chen, Hongbin*
;
Xu, Da
;
Peng, Yulong
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/28
Fractional evolution equation
Second order BDF
ADI difference scheme
Convolution quadrature
Stability
Convergence
Numerical experiments
Convergence of a Second-Order Linearized BDF–IPDG for Nonlinear Parabolic Equations with Discontinuous Coefficients
期刊论文
Journal of Scientific Computing, 2016, 卷号: 70, 期号: 2, 页码: 662-685
作者:
Song, Lunji
;
Yang, Chaoxia
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  |  
浏览/下载:9/0
  |  
提交时间:2017/01/12
Parabolic
Nonlinear
Interface
Discontinuous Galerkin
Interior penalty
Anti-symmetric
Finite element
BDF
A second-order BDF compact difference scheme for fractional-order Volterra equation
期刊论文
International Journal of Computer Mathematics, 2016, 卷号: 93, 期号: 7, 页码: 1140-1154
作者:
Chen, Hongbin*
;
Gan, Siqing
;
Xu, Da
;
Liu, Qiwen
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2019/12/03
fractional-order Volterra equation
second-order BDF
compact difference scheme
truncation error
stability
convergence
numerical experiments
A second-order BDF compact difference scheme for fractional-order Volterra equation
期刊论文
International Journal of Computer Mathematics, 2016, 卷号: 93, 期号: 7, 页码: 1140-1154
作者:
Chen, Hongbin*
;
Gan, Siqing
;
Xu, Da
;
Liu, Qiwen
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2019/12/28
fractional-order Volterra equation
second-order BDF
compact difference scheme
truncation error
stability
convergence
numerical experiments
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