Wansheng Wang

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 33

Top Topics

Error Estimates

Finite Element Methods

Differential Equations

Top Venues

J. Comput. Appl. Math.

J. Sci. Comput.

Math. Comput. Simul.

Publications

Yi Huang, Wansheng Wang, Yanming Zhang
Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation. Numer. Algorithms 97 (1) (2024)
Jiliang Cao, Wansheng Wang, Aiguo Xiao
Sharp analysis of L1-2 method on graded mesh for time fractional parabolic differential equation. Appl. Math. Lett. 153 (2024)
Wansheng Wang, Jinping Li, Chengyu Jin
Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space. J. Comput. Appl. Math. 448 (2024)
Xianfa Hu, Wansheng Wang, Mengli Mao, Jiliang Cao
A posteriori error estimates for the exponential midpoint method for linear and semilinear parabolic equations. CoRR (2024)
Xianfa Hu, Wansheng Wang, Bin Wang, Yonglei Fang
Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems. CoRR (2023)
Wansheng Wang, Jie Wang, Jinping Li, Feifei Gao, Yi Fu
Deep learning numerical methods for high-dimensional fully nonlinear PIDEs and coupled FBSDEs with jumps. CoRR (2023)
Wansheng Wang, Chengyu Jin, Yi Huang, Linhai Li, Chun Zhang
Comparison of implicit-explicit and Newton linearized variable two-step BDF methods for semilinear parabolic equations. Comput. Appl. Math. 42 (1) (2023)
Wansheng Wang, Shoufu Li
Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space. SIAM J. Numer. Anal. 61 (2) (2023)
Jiliang Cao, Wansheng Wang, Aiguo Xiao
) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations. CoRR (2023)
Wansheng Wang, Yi Huang
Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation. Math. Comput. Simul. 207 (2023)
Wansheng Wang, Mengli Mao, Yi Huang
Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations. J. Comput. Appl. Math. 413 (2022)
Wansheng Wang, Lijun Yi
a posteriori error estimates for fully discrete delay parabolic problems. Math. Comput. 91 (338) (2022)
Jie Zhou, Xing Yao, Wansheng Wang
Two-grid finite element methods for nonlinear time-fractional parabolic equations. Numer. Algorithms 90 (2) (2022)
Wansheng Wang, Mengli Mao, Yi Huang
A Posteriori Error Control and Adaptivity for the IMEX BDF2 Method for PIDEs with Application to Options Pricing Models. J. Sci. Comput. 93 (2) (2022)
Wansheng Wang, Yi Huang, Jiao Tang
Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation. Comput. Math. Appl. 113 (2022)
Zhiyong Xing, Liping Wen, Wansheng Wang
An efficient difference scheme for time-fractional KdV equation. Comput. Appl. Math. 40 (8) (2021)
Wansheng Wang, Chengjian Zhang
Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models. Commun. Nonlinear Sci. Numer. Simul. 97 (2021)
Wansheng Wang, Mengli Mao, Zheng Wang
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations. Adv. Comput. Math. 47 (1) (2021)
Zhiyong Xing, Liping Wen, Wansheng Wang
An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional Sine-Gordon equations. Math. Comput. Simul. 181 (2021)
Wansheng Wang, Lijun Yi, Aiguo Xiao
A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay. J. Sci. Comput. 84 (1) (2020)
Wansheng Wang, Mengli Mao, Zheng Wang
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations. CoRR (2020)
Wansheng Wang
stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity. CoRR (2020)
Yingzi Chen, Aiguo Xiao, Wansheng Wang
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. J. Comput. Appl. Math. 360 (2019)
Wansheng Wang
Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay. Adv. Comput. Math. 45 (3) (2019)
Wansheng Wang, Yingzi Chen, Hua Fang
On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance. SIAM J. Numer. Anal. 57 (3) (2019)
Chengjian Zhang, Wansheng Wang, Bochao Liu, Tingting Qin
A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument. Int. J. Comput. Math. 95 (12) (2018)
Xiaoli Zhu, Zhao Ran, Wanci Li, Wansheng Wang, Kangshun Zhu, Wensou Huang, Xin Gao
Method for Calculating the Bending Angle of Puncture Needle in Preoperative Planning for Transjugular Intrahepatic Portal Systemic Shunt (TIPS). Comput. Math. Methods Medicine 2018 (2018)
Wansheng Wang, Ting Rao, Weiwei Shen, Peng Zhong
A Posteriori Error Analysis for Crank-Nicolson-Galerkin Type Methods for Reaction-Diffusion Equations with Delay. SIAM J. Sci. Comput. 40 (2) (2018)
Wansheng Wang, Yingzi Chen
Fast numerical valuation of options with jump under Merton's model. J. Comput. Appl. Math. 318 (2017)
Wansheng Wang
On A-stable one-leg methods for solving nonlinear Volterra functional differential equations. Appl. Math. Comput. 314 (2017)
Wansheng Wang
Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations. J. Comput. Appl. Math. 309 (2017)
Wansheng Wang, Long Chen, Jie Zhou
Postprocessing Mixed Finite Element Methods For Solving Cahn-Hilliard Equation: Methods and Error Analysis. J. Sci. Comput. 67 (2) (2016)
Gengen Zhang, Aiguo Xiao, Wansheng Wang
-methods with constant stepsize for the generalized pantograph equation. Int. J. Comput. Math. 93 (9) (2016)
Jianqiang Guo, Wansheng Wang
On the numerical solution of nonlinear option pricing equation in illiquid markets. Comput. Math. Appl. 69 (2) (2015)
Wansheng Wang
Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations. Math. Comput. Simul. 97 (2014)
Wansheng Wang, Qin Fan, Yuan Zhang, Shoufu Li
Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces. Appl. Math. Comput. 237 (2014)
Wansheng Wang
Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory. J. Comput. Appl. Math. 250 (2013)
Wansheng Wang
Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations. Appl. Math. Comput. 219 (9) (2013)
Wansheng Wang, Shoufu Li
On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay. J. Appl. Math. 2012 (2012)
Wansheng Wang, Chengjian Zhang
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. Numerische Mathematik 115 (3) (2010)
Wansheng Wang, Liping Wen, Shoufu Li
Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space. J. Comput. Appl. Math. 233 (10) (2010)
Wansheng Wang, Tingting Qin, Shoufu Li
Stability of one-leg theta-methods for nonlinear neutral differential equations with proportional delay. Appl. Math. Comput. 213 (1) (2009)
Wansheng Wang, Liping Wen, Shoufu Li
Nonlinear stability of theta-methods for neutral differential equations in Banach space. Appl. Math. Comput. 198 (2) (2008)
Wansheng Wang, Liping Wen, Shoufu Li
Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space. Appl. Math. Comput. 199 (2) (2008)
Wansheng Wang, Shoufu Li
Stability Analysis of Theta-Methods for Nonlinear Neutral Functional Differential Equations. SIAM J. Sci. Comput. 30 (4) (2008)
Liping Wen, Wansheng Wang, Yuexin Yu
Dissipativity of theta-methods for a class of nonlinear neutral delay differential equations. Appl. Math. Comput. 202 (2) (2008)
Liping Wen, Wansheng Wang, Yuexin Yu, Shoufu Li
Nonlinear stability and asymptotic stability of implicit Euler method for stiff Volterra functional differential equations in Banach spaces. Appl. Math. Comput. 198 (2) (2008)
Wansheng Wang, Shoufu Li
Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay. Appl. Math. Lett. 21 (9) (2008)
Wansheng Wang, Shoufu Li
On the one-leg theta-methods for solving nonlinear neutral functional differential equations. Appl. Math. Comput. 193 (1) (2007)