Zhongdi Cen

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 23

Top Topics

Feed Forward Artificial Neural Networks

Differential Equations

Boundary Value Problem

Error Estimation

Top Venues

J. Comput. Appl. Math.

Appl. Math. Lett.

Int. J. Comput. Math.

Numer. Algorithms

Publications

Zhongdi Cen, Jian Huang, Aimin Xu
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection-diffusion problem. Appl. Math. Lett. 155 (2024)
Zhongdi Cen, Aimin Xu
A BDF2 method for a singularly perturbed transport equation. Int. J. Comput. Math. 101 (5) (2024)
Jian Huang, Zhongdi Cen, Aimin Xu
An improved a posteriori error estimation for a parameterized singular perturbation problem. Appl. Math. Lett. 114 (2021)
Zhongdi Cen, Anbo Le
An efficient numerical method for pricing a Russian option with a finite time horizon. Int. J. Comput. Math. 98 (10) (2021)
Zhongdi Cen, Li-Bin Liu, Aimin Xu
A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition. J. Comput. Appl. Math. 385 (2021)
Jian Huang, Zhongdi Cen, Aimin Xu, Li-Bin Liu
A posteriori error estimation for a singularly perturbed Volterra integro-differential equation. Numer. Algorithms 83 (2) (2020)
Zhongdi Cen, Jian Huang, Aimin Xu, Anbo Le
A modified integral discretization scheme for a two-point boundary value problem with a Caputo fractional derivative. J. Comput. Appl. Math. 367 (2020)
Ying Liang, Li-Bin Liu, Zhongdi Cen
A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations. Comput. Appl. Math. 39 (4) (2020)
Jian Huang, Zhongdi Cen, Li-Bin Liu, Jialiang Zhao
An efficient numerical method for a Riemann-Liouville two-point boundary value problem. Appl. Math. Lett. 103 (2020)
Zhongdi Cen, Li-Bin Liu, Jian Huang
A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann-Liouville fractional derivative. Appl. Math. Lett. 102 (2020)
Zhongdi Cen, Aimin Xu, Anbo Le, Li-Bin Liu
A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems. Int. J. Comput. Math. 97 (5) (2020)
Li-Bin Liu, Guangqing Long, Zhongdi Cen
A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition. Numer. Algorithms 83 (2) (2020)
Zhongdi Cen, Jian Huang, Anbo Le, Aimin Xu
A second-order scheme for a time-fractional diffusion equation. Appl. Math. Lett. 90 (2019)
Fevzi Erdogan, Zhongdi Cen
A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations. J. Comput. Appl. Math. 333 (2018)
Zhongdi Cen, Jian Huang, Aimin Xu
An efficient numerical method for a two-point boundary value problem with a Caputo fractional derivative. J. Comput. Appl. Math. 336 (2018)
Zhongdi Cen, Jian Huang, Aimin Xu, Anbo Le
Numerical approximation of a time-fractional Black-Scholes equation. Comput. Math. Appl. 75 (8) (2018)
Zhongdi Cen, Aimin Xu, Anbo Le
A high-order finite difference scheme for a singularly perturbed fourth-order ordinary differential equation. Int. J. Comput. Math. 95 (9) (2018)
Zhongdi Cen, Anbo Le, Aimin Xu
A robust numerical method for a fractional differential equation. Appl. Math. Comput. 315 (2017)
Zhongdi Cen, Anbo Le, Aimin Xu
Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems. J. Comput. Appl. Math. 320 (2017)
Zhongdi Cen, Anbo Le, Aimin Xu
A posteriori error analysis for a fractional differential equation. Int. J. Comput. Math. 94 (6) (2017)
Zhongdi Cen, Aimin Xu, Anbo Le
On the hybrid finite difference scheme for a singularly perturbed Riccati equation. Numer. Algorithms 71 (2) (2016)
Zhongdi Cen, Aimin Xu, Anbo Le
A hybrid finite difference scheme for pricing Asian options. Appl. Math. Comput. 252 (2015)
Aimin Xu, Zhongdi Cen
Closed formulas for computing higher-order derivatives of functions involving exponential functions. Appl. Math. Comput. 270 (2015)
Zhongdi Cen, Fevzi Erdogan, Aimin Xu
An almost second order uniformly convergent scheme for a singularly perturbed initial value problem. Numer. Algorithms 67 (2) (2014)
Aimin Xu, Zhongdi Cen
Some identities involving exponential functions and Stirling numbers and applications. J. Comput. Appl. Math. 260 (2014)
Zhongdi Cen, Anbo Le, Aimin Xu
Finite difference scheme with a moving mesh for pricing Asian options. Appl. Math. Comput. 219 (16) (2013)
Aimin Xu, Zhongdi Cen
Divided differences and a general explicit formula for sequences of Mansour-Mulay-Shattuck. Appl. Math. Comput. 224 (2013)
Zhongdi Cen, Anbo Le, Aimin Xu
An Alternating-Direction Implicit Difference Scheme for Pricing Asian Options. J. Appl. Math. 2013 (2013)
Zhongdi Cen, Anbo Le, Aimin Xu
Exponential Time Integration and Second-Order Difference Scheme for a Generalized Black-Scholes Equation. J. Appl. Math. 2012 (2012)
Anbo Le, Zhongdi Cen, Aimin Xu
A robust upwind difference scheme for pricing perpetual American put options under stochastic volatility. Int. J. Comput. Math. 89 (9) (2012)
Aimin Xu, Zhongdi Cen
A unified approach to some recurrence sequences via Faà di Bruno's formula. Comput. Math. Appl. 62 (1) (2011)
Zhongdi Cen, Anbo Le
A robust and accurate finite difference method for a generalized Black-Scholes equation. J. Comput. Appl. Math. 235 (13) (2011)
Zhongdi Cen
Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem. Int. J. Comput. Math. 88 (1) (2011)
Aimin Xu, Zhongdi Cen
On a q-analogue of Faà di Bruno's determinant formula. Discret. Math. 311 (6) (2011)
Jian Huang, Zhongdi Cen, Qiuhong Zheng
Research and Implement of Chinese Text Classifier Based on Naïve Bayes Method. SKG (2010)
Zhongdi Cen, Anbo Le
A robust finite difference scheme for pricing American put options with Singularity-Separating method. Numer. Algorithms 53 (4) (2010)
Zhongdi Cen, Aimin Xu, Anbo Le
A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems. J. Comput. Appl. Math. 234 (12) (2010)
Zhongdi Cen
A second-order finite difference scheme for a class of singularly perturbed delay differential equations. Int. J. Comput. Math. 87 (1) (2010)
Xiao-Peng Lian, Zhongdi Cen, Xiao-Liang Cheng
Some iterative algorithms for the obstacle problems. Int. J. Comput. Math. 87 (11) (2010)
Zhongdi Cen
Uniform convergence of monotone difference scheme for a singularly perturbed third-order convection-diffusion equation. Neural Parallel Sci. Comput. 17 (2) (2009)
Zhongdi Cen
A hybrid finite difference scheme for a class of singularly perturbed delay differential equations. Neural Parallel Sci. Comput. 16 (3) (2008)
Xin Cai, Zhongdi Cen
Numerical Simulation Technique for Nonlinear Singularly Perturbed Predator-Prey Reaction Diffusion System in Biomathematics. ICNC (5) (2007)
Zhongdi Cen, Xin Cai
A Second-Order Upwind Difference Scheme for a Singularly Perturbed Problem with Integral Boundary Condition in Netural Network. KES (2) (2007)
Zhongdi Cen
Numerical method for a class of singular non-linear boundary value problems using Green's functions. Int. J. Comput. Math. 84 (3) (2007)
Zhongdi Cen
Numerical study for a class of singular two-point boundary value problems using Green's functions. Appl. Math. Comput. 183 (1) (2006)
Zhongdi Cen
A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Appl. Math. Comput. 169 (1) (2005)
Zhongdi Cen
Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection-diffusion equations. Int. J. Comput. Math. 82 (2) (2005)