On the one-leg theta-methods for solving nonlinear neutral functional differential equations. - Wansheng Wang; Shoufu Li (Appl. Math. Comput., 2007)

Nonlinear stability of theta-methods for neutral differential equations in Banach space. - Wansheng Wang; Liping Wen; Shoufu Li (Appl. Math. Comput., 2008)

Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space. - Wansheng Wang; Liping Wen; Shoufu Li (Appl. Math. Comput., 2008)

Dissipativity of theta-methods for a class of nonlinear neutral delay differential equations. - Liping Wen; Wansheng Wang; Yuexin Yu (Appl. Math. Comput., 2008)

Nonlinear stability and asymptotic stability of implicit Euler method for stiff Volterra functional differential equations in Banach spaces. - Liping Wen; Wansheng Wang; Yuexin Yu; Shoufu Li (Appl. Math. Comput., 2008)

Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay. - Wansheng Wang; Shoufu Li (Appl. Math. Lett., 2008)

Stability Analysis of Theta-Methods for Nonlinear Neutral Functional Differential Equations. - Wansheng Wang; Shoufu Li (SIAM J. Sci. Comput., 2008)

Stability of one-leg theta-methods for nonlinear neutral differential equations with proportional delay. - Wansheng Wang; Tingting Qin; Shoufu Li (Appl. Math. Comput., 2009)

Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space. - Wansheng Wang; Liping Wen; Shoufu Li (J. Comput. Appl. Math., 2010)

Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. - Wansheng Wang; Chengjian Zhang (Numerische Mathematik, 2010)

On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay. - Wansheng Wang; Shoufu Li (J. Appl. Math., 2012)

Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations. - Wansheng Wang (Appl. Math. Comput., 2013)

Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory. - Wansheng Wang (J. Comput. Appl. Math., 2013)

Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces. - Wansheng Wang; Qin Fan; Yuan Zhang; Shoufu Li (Appl. Math. Comput., 2014)

Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations. - Wansheng Wang (Math. Comput. Simul., 2014)

On the numerical solution of nonlinear option pricing equation in illiquid markets. - Jianqiang Guo; Wansheng Wang (Comput. Math. Appl., 2015)

The asymptotic behaviour of the θ-methods with constant stepsize for the generalized pantograph equation. - Gengen Zhang; Aiguo Xiao; Wansheng Wang (Int. J. Comput. Math., 2016)

Postprocessing Mixed Finite Element Methods For Solving Cahn-Hilliard Equation: Methods and Error Analysis. - Wansheng Wang; Long Chen 002; Jie Zhou (J. Sci. Comput., 2016)

On A-stable one-leg methods for solving nonlinear Volterra functional differential equations. - Wansheng Wang (Appl. Math. Comput., 2017)

Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations. - Wansheng Wang (J. Comput. Appl. Math., 2017)

Fast numerical valuation of options with jump under Merton's model. - Wansheng Wang; Yingzi Chen (J. Comput. Appl. Math., 2017)

Method for Calculating the Bending Angle of Puncture Needle in Preoperative Planning for Transjugular Intrahepatic Portal Systemic Shunt (TIPS). - Xiaoli Zhu; Zhao Ran; Wanci Li; Wansheng Wang; Kangshun Zhu; Wensou Huang; Xin Gao 003 (Comput. Math. Methods Medicine, 2018)

A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument. - Chengjian Zhang; Wansheng Wang; Bochao Liu; Tingting Qin (Int. J. Comput. Math., 2018)

A Posteriori Error Analysis for Crank-Nicolson-Galerkin Type Methods for Reaction-Diffusion Equations with Delay. - Wansheng Wang; Ting Rao; Weiwei Shen; Peng Zhong (SIAM J. Sci. Comput., 2018)

Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay. - Wansheng Wang (Adv. Comput. Math., 2019)

Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. - Yingzi Chen; Aiguo Xiao; Wansheng Wang (J. Comput. Appl. Math., 2019)

On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance. - Wansheng Wang; Yingzi Chen; Hua Fang (SIAM J. Numer. Anal., 2019)

Long time Hsα stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity. - Wansheng Wang (CoRR, 2020)

A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay. - Wansheng Wang; Lijun Yi; Aiguo Xiao (J. Sci. Comput., 2020)

Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations. - Wansheng Wang; Mengli Mao; Zheng Wang (Adv. Comput. Math., 2021)

An efficient difference scheme for time-fractional KdV equation. - Zhiyong Xing; Liping Wen; Wansheng Wang (Comput. Appl. Math., 2021)

Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models. - Wansheng Wang; Chengjian Zhang (Commun. Nonlinear Sci. Numer. Simul., 2021)

An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional Sine-Gordon equations. - Zhiyong Xing; Liping Wen; Wansheng Wang (Math. Comput. Simul., 2021)

Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation. - Wansheng Wang; Yi Huang; Jiao Tang (Comput. Math. Appl., 2022)

Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations. - Wansheng Wang; Mengli Mao; Yi Huang (J. Comput. Appl. Math., 2022)

A Posteriori Error Control and Adaptivity for the IMEX BDF2 Method for PIDEs with Application to Options Pricing Models. - Wansheng Wang; Mengli Mao; Yi Huang (J. Sci. Comput., 2022)

Delay-dependent elliptic reconstruction and optimal L∞ (L2) a posteriori error estimates for fully discrete delay parabolic problems. - Wansheng Wang; Lijun Yi (Math. Comput., 2022)

Two-grid finite element methods for nonlinear time-fractional parabolic equations. - Jie Zhou; Xing Yao; Wansheng Wang (Numer. Algorithms, 2022)

Deep learning numerical methods for high-dimensional fully nonlinear PIDEs and coupled FBSDEs with jumps. - Wansheng Wang; Jie Wang; Jinping Li; Feifei Gao; Yi Fu (CoRR, 2023)

Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems. - Xianfa Hu; Wansheng Wang; Bin Wang 016; Yonglei Fang (CoRR, 2023)

Optimal L∞(L2) and L1(L2) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations. - Jiliang Cao; Wansheng Wang; Aiguo Xiao (CoRR, 2023)

Comparison of implicit-explicit and Newton linearized variable two-step BDF methods for semilinear parabolic equations. - Wansheng Wang; Chengyu Jin; Yi Huang; Linhai Li; Chun Zhang (Comput. Appl. Math., 2023)

Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space. - Wansheng Wang; Shoufu Li (SIAM J. Numer. Anal., 2023)

Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation. - Wansheng Wang; Yi Huang (Math. Comput. Simul., 2023)

Sharp analysis of L1-2 method on graded mesh for time fractional parabolic differential equation. - Jiliang Cao; Wansheng Wang; Aiguo Xiao (Appl. Math. Lett., 2024)

FBSJNN: A Theoretically Interpretable and Efficiently Deep Learning method for Solving Partial Integro-Differential Equations. - Zaijun Ye; Wansheng Wang (CoRR, 2024)

Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space. - Wansheng Wang; Jinping Li; Chengyu Jin (J. Comput. Appl. Math., 2024)

Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation. - Yi Huang; Wansheng Wang; Yanming Zhang (Numer. Algorithms, 2024)

Adaptive fast L1 - 2 scheme for solving time fractional parabolic problems. - Jiliang Cao; Wansheng Wang; Aiguo Xiao (Comput. Math. Appl., 2025)

Adaptive option pricing based on a posteriori error estimates for fully discrete finite difference methods. - Mengli Mao; Wansheng Wang; Tianhai Tian; Lehan Wang (J. Comput. Appl. Math., 2025)

Deep Learning Numerical Methods for High-Dimensional Quasilinear PIDEs and Coupled FBSDEs with Jumps. - Wansheng Wang; Jie Wang; Jinping Li; Feifei Gao; Yi Fu; Zaijun Ye (SIAM J. Sci. Comput., 2025)

Error estimates of general linear and spectral Galerkin methods for the fractional diffusion equation with spectral fractional Laplacian. - Yanming Zhang; Yu Li; Yuexin Yu; Wansheng Wang (Comput. Appl. Math., 2025)

Recurrent Neural Operators: Stable Long-Term PDE Prediction. - Zaijun Ye; Chen-Song Zhang; Wansheng Wang (CoRR, 2025)

Implicit-explicit high-order methods for pricing options under Merton's jump-diffusion models. - Yingzi Chen; Wansheng Wang (J. Appl. Math. Comput., 2025)

High Order Methods for Nonlinear Evolution Equations Governed by Semibounded or Dissipative Operators in Normed Space. - Wansheng Wang; Chengyu Jin (J. Sci. Comput., 2025)

A posteriori error estimates for the exponential midpoint method for linear and semilinear parabolic equations. - Xianfa Hu; Wansheng Wang; Mengli Mao; Jiliang Cao (Numer. Algorithms, 2025)