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2020 – today
- 2024
[j43]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: 109071 (2024)- [j42]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: 115939 (2024) - [j41]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): 167-189 (2024) - [i6]Xianfa Hu, Wansheng Wang, Mengli Mao, Jiliang Cao:
A posteriori error estimates for the exponential midpoint method for linear and semilinear parabolic equations. CoRR abs/2406.07789 (2024) - 2023
- [j40]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) - [j39]Wansheng Wang, Yi Huang:
Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation. Math. Comput. Simul. 207: 80-96 (2023) - [j38]Wansheng Wang, Shoufu Li:
Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space. SIAM J. Numer. Anal. 61(2): 872-904 (2023) - [i5]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 abs/2301.12895 (2023) - [i4]Xianfa Hu, Wansheng Wang, Bin Wang, Yonglei Fang:
Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems. CoRR abs/2306.06614 (2023) - [i3]Jiliang Cao, Wansheng Wang, Aiguo Xiao:
Optimal L∞(L2) and L1(L2) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations. CoRR abs/2311.06711 (2023) - 2022
- [j37]Wansheng Wang, Yi Huang, Jiao Tang:
Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation. Comput. Math. Appl. 113: 117-129 (2022) - [j36]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: 114306 (2022) - [j35]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): 55 (2022) - [j34]Wansheng Wang, Lijun Yi:
Delay-dependent elliptic reconstruction and optimal L∞ (L2) a posteriori error estimates for fully discrete delay parabolic problems. Math. Comput. 91(338): 2609-2643 (2022) - [j33]Jie Zhou, Xing Yao, Wansheng Wang:
Two-grid finite element methods for nonlinear time-fractional parabolic equations. Numer. Algorithms 90(2): 709-730 (2022) - 2021
- [j32]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): 8 (2021) - [j31]Zhiyong Xing, Liping Wen, Wansheng Wang:
An efficient difference scheme for time-fractional KdV equation. Comput. Appl. Math. 40(8) (2021) - [j30]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: 105723 (2021) - [j29]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: 624-641 (2021) - 2020
- [j28]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): 13 (2020) - [i2]Wansheng Wang, Mengli Mao, Zheng Wang:
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations. CoRR abs/2003.03534 (2020) - [i1]Wansheng Wang:
Long time Hsα stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity. CoRR abs/2003.14399 (2020)
2010 – 2019
- 2019
- [j27]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): 1631-1655 (2019) - [j26]Yingzi Chen, Aiguo Xiao, Wansheng Wang:
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. J. Comput. Appl. Math. 360: 41-54 (2019) - [j25]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): 1289-1317 (2019) - 2018
- [j24]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: 4534579:1-4534579:7 (2018) - [j23]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): 2419-2432 (2018) - [j22]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) - 2017
- [j21]Wansheng Wang:
On A-stable one-leg methods for solving nonlinear Volterra functional differential equations. Appl. Math. Comput. 314: 380-390 (2017) - [j20]Wansheng Wang:
Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations. J. Comput. Appl. Math. 309: 132-144 (2017) - [j19]Wansheng Wang, Yingzi Chen:
Fast numerical valuation of options with jump under Merton's model. J. Comput. Appl. Math. 318: 79-92 (2017) - 2016
- [j18]Gengen Zhang, Aiguo Xiao, Wansheng Wang:
The asymptotic behaviour of the θ-methods with constant stepsize for the generalized pantograph equation. Int. J. Comput. Math. 93(9): 1484-1504 (2016) - [j17]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): 724-746 (2016) - 2015
- [j16]Jianqiang Guo, Wansheng Wang:
On the numerical solution of nonlinear option pricing equation in illiquid markets. Comput. Math. Appl. 69(2): 117-133 (2015) - 2014
- [j15]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: 217-226 (2014) - [j14]Wansheng Wang:
Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations. Math. Comput. Simul. 97: 147-161 (2014) - 2013
- [j13]Wansheng Wang:
Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations. Appl. Math. Comput. 219(9): 4590-4600 (2013) - [j12]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: 161-174 (2013) - 2012
- [j11]Wansheng Wang, Shoufu Li:
On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay. J. Appl. Math. 2012: 989867:1-989867:27 (2012) - 2010
- [j10]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): 2423-2437 (2010) - [j9]Wansheng Wang, Chengjian Zhang:
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. Numerische Mathematik 115(3): 451-474 (2010)
2000 – 2009
- 2009
- [j8]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): 177-183 (2009) - 2008
- [j7]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): 582-591 (2008) - [j6]Wansheng Wang, Liping Wen, Shoufu Li:
Nonlinear stability of theta-methods for neutral differential equations in Banach space. Appl. Math. Comput. 198(2): 742-753 (2008) - [j5]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): 787-803 (2008) - [j4]Liping Wen, Wansheng Wang, Yuexin Yu:
Dissipativity of theta-methods for a class of nonlinear neutral delay differential equations. Appl. Math. Comput. 202(2): 780-786 (2008) - [j3]Wansheng Wang, Shoufu Li:
Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay. Appl. Math. Lett. 21(9): 983-991 (2008) - [j2]Wansheng Wang, Shoufu Li:
Stability Analysis of Theta-Methods for Nonlinear Neutral Functional Differential Equations. SIAM J. Sci. Comput. 30(4): 2181-2205 (2008) - 2007
- [j1]Wansheng Wang, Shoufu Li:
On the one-leg theta-methods for solving nonlinear neutral functional differential equations. Appl. Math. Comput. 193(1): 285-301 (2007)
Coauthor Index
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