Wansheng Wang

Orcid: 0000-0002-2128-7501

According to our database1, Wansheng Wang authored at least 48 papers between 2007 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation.
Numer. Algorithms, September, 2024

Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space.
J. Comput. Appl. Math., 2024

A posteriori error estimates for the exponential midpoint method for linear and semilinear parabolic equations.
CoRR, 2024

Sharp analysis of L1-2 method on graded mesh for time fractional parabolic differential equation.
Appl. Math. Lett., 2024

2023
Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation.
Math. Comput. Simul., May, 2023

Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space.
SIAM J. Numer. Anal., April, 2023

Comparison of implicit-explicit and Newton linearized variable two-step BDF methods for semilinear parabolic equations.
Comput. Appl. Math., February, 2023

Optimal L<sup>∞</sup>(L<sup>2</sup>) and L<sup>1</sup>(L<sup>2</sup>) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations.
CoRR, 2023

Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems.
CoRR, 2023

Deep learning numerical methods for high-dimensional fully nonlinear PIDEs and coupled FBSDEs with jumps.
CoRR, 2023

2022
Two-grid finite element methods for nonlinear time-fractional parabolic equations.
Numer. Algorithms, 2022

Delay-dependent elliptic reconstruction and optimal L<sup>∞</sup> (L<sup>2)</sup> a posteriori error estimates for fully discrete delay parabolic problems.
Math. Comput., 2022

A Posteriori Error Control and Adaptivity for the IMEX BDF2 Method for PIDEs with Application to Options Pricing Models.
J. Sci. Comput., 2022

Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations.
J. Comput. Appl. Math., 2022

Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation.
Comput. Math. Appl., 2022

2021
An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional Sine-Gordon equations.
Math. Comput. Simul., 2021

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

An efficient difference scheme for time-fractional KdV equation.
Comput. Appl. Math., 2021

Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations.
Adv. Comput. Math., 2021

2020
A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay.
J. Sci. Comput., 2020

Long time H<sup>s</sup><sub>α</sub> stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity.
CoRR, 2020

2019
On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance.
SIAM J. Numer. Anal., 2019

Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions.
J. Comput. Appl. Math., 2019

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

2018
A Posteriori Error Analysis for Crank-Nicolson-Galerkin Type Methods for Reaction-Diffusion Equations with Delay.
SIAM J. Sci. Comput., 2018

A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument.
Int. J. Comput. Math., 2018

Method for Calculating the Bending Angle of Puncture Needle in Preoperative Planning for Transjugular Intrahepatic Portal Systemic Shunt (TIPS).
Comput. Math. Methods Medicine, 2018

2017
Fast numerical valuation of options with jump under Merton's model.
J. Comput. Appl. Math., 2017

Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations.
J. Comput. Appl. Math., 2017

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

2016
Postprocessing Mixed Finite Element Methods For Solving Cahn-Hilliard Equation: Methods and Error Analysis.
J. Sci. Comput., 2016

The asymptotic behaviour of the <i>θ</i>-methods with constant stepsize for the generalized pantograph equation.
Int. J. Comput. Math., 2016

2015
On the numerical solution of nonlinear option pricing equation in illiquid markets.
Comput. Math. Appl., 2015

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

Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces.
Appl. Math. Comput., 2014

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

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

2012
On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay.
J. Appl. Math., 2012

2010
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space.
Numerische Mathematik, 2010

Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space.
J. Comput. Appl. Math., 2010

2009
Stability of one-leg theta-methods for nonlinear neutral differential equations with proportional delay.
Appl. Math. Comput., 2009

2008
Stability Analysis of Theta-Methods for Nonlinear Neutral Functional Differential Equations.
SIAM J. Sci. Comput., 2008

Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay.
Appl. Math. Lett., 2008

Nonlinear stability and asymptotic stability of implicit Euler method for stiff Volterra functional differential equations in Banach spaces.
Appl. Math. Comput., 2008

Dissipativity of theta-methods for a class of nonlinear neutral delay differential equations.
Appl. Math. Comput., 2008

Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space.
Appl. Math. Comput., 2008

Nonlinear stability of theta-methods for neutral differential equations in Banach space.
Appl. Math. Comput., 2008

2007
On the one-leg theta-methods for solving nonlinear neutral functional differential equations.
Appl. Math. Comput., 2007


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