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A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions
期刊论文
Numerical Mathematics,2021, 卷号: 14, 期号: 2, 页码: 355-376
作者:
Li, Dongfang
;
Sun, Weiwei
;
Wu, Chengda
收藏
  |  
浏览/下载:31/0
  |  
提交时间:2021/04/23
Finite difference methods
L1 approximation
Nonsmooth solution
Time-fractional differential equations
Adaptive order WENO Reconstructions for the semi-lagrangian finite difference scheme for advection problem
期刊论文
Communications in Computational Physics,2021, 卷号: 30, 期号: 1, 页码: 67-96
作者:
Chen, Jiajie
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  |  
浏览/下载:14/0
  |  
提交时间:2022/05/10
Finite difference
Incompressible euler
Mass conservation
Semi-Lagrangian
Vlasov-Poisson
Weighted essentially nonoscillatory
WENO adaptive order reconstruction
Optimal error analysis of Euler and Crank–Nicolson projection finite difference schemes for Landau–Lifshitz equation
期刊论文
SIAM Journal on Numerical Analysis,2021, 卷号: 59, 期号: 3, 页码: 1639-1662
作者:
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2021/09/17
Landau-Lifshitz equation
projection scheme
finite difference methods
optimal error estimate
micromagnetics
A 2nd-order ADI finite difference method for a 2D fractional Black–Scholes equation governing European two asset option pricing
期刊论文
Mathematics and Computers in Simulation,2020, 卷号: 171, 页码: 279-293
作者:
Chen, Wen
;
Wang, Song
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  |  
浏览/下载:9/0
  |  
提交时间:2025/03/19
Alternating direction implicit method
Finite difference
Option pricing
Two-dimensional spatial-fractional Black–Scholes equation
A power penalty method for a 2D fractional partial differential linear complementarity problem governing two-asset American option pricing
期刊论文
Applied Mathematics and Computation,2017, 卷号: 305, 页码: 174-187
作者:
Chen, Wen
;
Wang, Song
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  |  
浏览/下载:11/0
  |  
提交时间:2025/03/19
American option pricing
Finite difference method
Fractional differential equation
Linear complementarity problem
Optimal control
Penalty method
Numerical Analysis of Fully Discretized Crank-Nicolson Scheme for Fractional-in-Space Allen-Cahn Equations
期刊论文
Journal of Scientific Computing,2017, 卷号: 72, 期号: 3, 页码: 1214-1231
作者:
Hou, Tianliang
;
Tang, Tao
;
Yang, Jiang
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  |  
浏览/下载:24/0
  |  
提交时间:2021/08/05
Fractional derivatives
Allen–Cahn equations
Finite difference method
Maximum principle
Energy stability
Error analysis
On the maximum principle preserving schemes for the generalized Allen-Cahn equation
期刊论文
Communications in Mathematical Sciences,2016, 卷号: 14, 期号: 6, 页码: 1517-1534
作者:
Shen, Jie
;
Tang, Tao
;
Yang, Jiang
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  |  
浏览/下载:10/0
  |  
提交时间:2021/05/10
Allen-Cahn equation
Error estimate
Finite difference
Maximum principle
Stability
Fast and stable explicit operator splitting methods for phase-field models
期刊论文
Journal of Computational Physics,2015, 卷号: 303, 页码: 45-65
作者:
Cheng, Yuanzhen
;
Kurganov, Alexander
;
Qu, Zhuolin
;
Tang, Tao
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  |  
浏览/下载:14/0
  |  
提交时间:2021/05/10
Adaptive time-stepping
Cahn-Hilliard equation
Large stability domain explicit Runge-Kutta methods
Molecular beam epitaxy equation
Operator splitting methods
Phase-field models
Pseudo-spectral methods
Semi-discrete finite-difference schemes
A finite difference method for pricing European and American options under a geometric Lévy process
期刊论文
Journal of Industrial and Management Optimization,2015, 卷号: 11, 期号: 1, 页码: 241-264
作者:
Chen, Wen
;
Wang, Song
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  |  
浏览/下载:6/0
  |  
提交时间:2025/03/19
Convergence
Finite difference method
Fractional Black-Scholes equation
Linear complementarity problem
Option pricing
Penalty method
A penalty method for a fractional order parabolic variational inequality governing American put option valuation
期刊论文
Computers and Mathematics with Applications,2014, 卷号: 67, 期号: 1, 页码: 77-90
作者:
Chen, Wen
;
Wang, Song
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  |  
浏览/下载:11/0
  |  
提交时间:2025/03/19
American option pricing
Complementarity problem
Finite difference
Fractional Black-Scholes operator
Penalty method
Variational inequality