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The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 407, 页码: 20
作者:
Fu, Yaoyao
;
Cao, Liqun
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浏览/下载:0/0
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提交时间:2023/02/07
Time-dependent Maxwell-Dirac system
Error estimate
Topological insulator
Graphene
Superconductor
Crank-Nicolson Galerkin finite element method
Numerical Schemes for Time-Space Fractional Vibration Equations
期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 卷号: 13, 期号: 4, 页码: 806-826
作者:
Zhang, Jingna
;
Aleroev, Temirkhan S.
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浏览/下载:88/0
  |  
提交时间:2021/06/01
Time-space fractional vibration equations
ADI scheme
stability
convergence
A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 63-92
作者:
Fan, Huijun
;
Zhao, Yanmin
;
Wang, Fenling
;
Shi, Yanhua
;
Tang, Yifa
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浏览/下载:29/0
  |  
提交时间:2021/01/14
Nonconforming mixed FEM
multi-term time-fractional mixed diffusion and diffusion-wave equations
L1 time-stepping method
Crank-Nicolson scheme
convergence and superconvergence
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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浏览/下载:49/0
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提交时间:2021/04/26
distribution-order derivative
fractional wave equations
initial singularity
multi-term fractional derivatives
superlinear convergence
WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA
期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
作者:
Zhang, Yongwei
;
Cao, Liqun
;
Shi, Dongyang
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浏览/下载:42/0
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提交时间:2021/04/26
Maxwell's equations
dispersive medium
well-posedness
the multiscale asymptotic expansion
finite element method
AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
作者:
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浏览/下载:3/0
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提交时间:2022/04/02
time-fractional Allen--Cahn equation
asymptotic preserving
energy stability
adaptive time stepping
max-imum principle
A polymorphic inheritance calculation method of one-dimensional electro-osmotic consolidation considering effective potential attenuation
期刊论文
Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering, 2020, 卷号: 39, 期号: 12, 页码: 2530-2539
作者:
Yang, Xiaoyu
;
Dong, Jianhua
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浏览/下载:5/0
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提交时间:2022/02/17
Decay (organic)
Electrolysis
Electroosmosis
Pore pressure
Consolidation theory
Effective potentials
Governing equations
Initial conditions
Iterative solutions
One dimensional consolidation
Pore pressure dissipation
Pressure amplitudes
Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 页码: 19
作者:
Huang, Jianfei
;
Qiao, Zhi
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:13/0
  |  
提交时间:2021/01/14
Fractional nonlinear wave equations
Fourth-order derivative
Linearized schemes
Stability
Convergence
An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 26
作者:
Wang, Lin
;
Yu, Haijun
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浏览/下载:62/0
  |  
提交时间:2020/06/30
Cahn-Hilliard gradient flow
Unconditionally stable
Stabilized semi-implicit scheme
Diffusive Crank-Nicolson scheme
Error analysis
Adaptive time stepping
High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
作者:
Wang, Fenling
;
Zhao, Yanmin
;
Shi, Zhengguang
;
Shi, Yanhua
;
Tang, Yifa
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  |  
浏览/下载:59/0
  |  
提交时间:2020/01/10
Time fractional wave equation
anisotropic nonconforming quasi-Wilson finite element
Crank-Nicolson scheme
stability
superclose and superconvergence
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