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A fourth-order unfitted characteristic finite element method for free-boundary problems
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:
Ma, Chuwen
;
Zheng, Weiying
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浏览/下载:66/0
  |  
提交时间:2023/02/07
Free-boundary problems
Unfitted characteristic finite element
methods
Convection-diffusion equation
Navier-Stokes equations
Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2257, 页码: 23
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Yan, Zhenya
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  |  
浏览/下载:108/0
  |  
提交时间:2022/04/02
rational vector rogue waves
rational vector solitons
weak and strong interactions
n-component nonlinear wave system with higher-order effects
modified Darboux transform
A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
作者:
Ma, Chuwen
;
Zhang, Qinghai
;
Zheng, Weiying
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  |  
浏览/下载:91/0
  |  
提交时间:2023/02/07
 
unfitted characteristic finite element methods
time-varying domains
moving boundary problems
the advection-diffusion equation
fourth-order error estimates
A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 卷号: 39, 期号: 3, 页码: 20
作者:
Du, Yulong
;
Wang, Yahui
;
Yuan, Li
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  |  
浏览/下载:163/0
  |  
提交时间:2020/09/23
Finite-volume method
High-order accuracy
Dimension-by-dimension reconstruction
Cartesian grid
Nonlinear convection-diffusion equation
65M08
65M12
65M20
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
作者:
Shen, Yue
;
Jin, Chang
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浏览/下载:157/0
  |  
提交时间:2020/05/24
Fourth order elliptic equation
optimal control problem
decoupled mixed element method
Lagrange element
nonconforming Crouzeix-Raviart element
a priori error estimates
Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 898-922
作者:
Wang, Yahui
;
Du, Yulong
;
Zhao, Kunlei
;
Yuan, Li
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浏览/下载:132/0
  |  
提交时间:2020/05/24
WENO scheme
Stencil approximation order
Smoothness indicator
Hyperbolic conservation law
Euler equation
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons
期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
作者:
Chen, Shuyan
;
Yan, Zhenya
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浏览/下载:179/0
  |  
提交时间:2020/01/10
Higher-order nonlinear Schrodinger equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers, rogons
Solitons
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 95, 页码: 65-71
作者:
Chen, Shuyan
;
Yan, Zhenya
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浏览/下载:164/0
  |  
提交时间:2020/01/10
Hirota equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers
Rogue waves
Mixed Schemes for Fourth-Order DIV Equations
期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 卷号: 19, 期号: 2, 页码: 341-357
作者:
Fan, Ronghong
;
Liu, Yanru
;
Zhang, Shuo
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  |  
浏览/下载:143/0
  |  
提交时间:2020/01/10
Fourth-Order DIV Equation
Mixed Scheme
Regularity Analysis
Finite Element Method
A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 348, 页码: 246-260
作者:
Zhang, Wensheng
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浏览/下载:169/0
  |  
提交时间:2019/03/05
3D
Elastic wave equation
LOD
Fourth-order accuracy
Splitting