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Faculty of Science and Tech...
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TANG Tao
10
SUN Weiwei
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CAI Xiaofeng
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Finite difference method
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Finite difference
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American option pricing
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A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions
Journal article
Numerical Mathematics,2021, volume: 14, issue: 2, pages: 355-376
Authors:
Li, Dongfang
;
Sun, Weiwei
;
Wu, Chengda
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View/Download:24/0
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Submit date: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
Journal article
Communications in Computational Physics,2021, volume: 30, issue: 1, pages: 67-96
Authors:
Chen, Jiajie
;
Cai, Xiaofeng
;
Qiu, Jianxian
;
Qiu, Jing-Mei
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  |  
View/Download:7/0
  |  
Submit date: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
Journal article
SIAM Journal on Numerical Analysis,2021, volume: 59, issue: 3, pages: 1639-1662
Authors:
An, Rong
;
Gao, Huadong
;
Sun, Weiwei
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View/Download:5/0
  |  
Submit date: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
Journal article
Mathematics and Computers in Simulation,2020, volume: 171, pages: 279-293
Authors:
Chen,Wen
;
Wang,Song
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  |  
View/Download:1/0
  |  
Submit date: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
Journal article
Applied Mathematics and Computation,2017, volume: 305, pages: 174-187
Authors:
Chen,Wen
;
Wang,Song
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  |  
View/Download:1/0
  |  
Submit date: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
Journal article
Journal of Scientific Computing,2017, volume: 72, issue: 3, pages: 1214-1231
Authors:
Hou, Tianliang
;
Tang, Tao
;
Yang, Jiang
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View/Download:11/0
  |  
Submit date: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
Journal article
Communications in Mathematical Sciences,2016, volume: 14, issue: 6, pages: 1517-1534
Authors:
Shen, Jie
;
Tang, Tao
;
Yang, Jiang
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View/Download:4/0
  |  
Submit date:2021/05/10
Allen-Cahn equation
Error estimate
Finite difference
Maximum principle
Stability
Fast and stable explicit operator splitting methods for phase-field models
Journal article
Journal of Computational Physics,2015, volume: 303, pages: 45-65
Authors:
Cheng, Yuanzhen
;
Kurganov, Alexander
;
Qu, Zhuolin
;
Tang, Tao
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  |  
View/Download:5/0
  |  
Submit date: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
Journal article
Journal of Industrial and Management Optimization,2015, volume: 11, issue: 1, pages: 241-264
Authors:
Chen,Wen
;
Wang,Song
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View/Download:0/0
  |  
Submit date: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
Journal article
Computers and Mathematics with Applications,2014, volume: 67, issue: 1, pages: 77-90
Authors:
Chen,Wen
;
Wang,Song
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  |  
View/Download:0/0
  |  
Submit date:2025/03/19
American option pricing
Complementarity problem
Finite difference
Fractional Black-Scholes operator
Penalty method
Variational inequality