Shijun Liao

42 papers Journal 42
YearRankTypeTitle / Venue / Authors
2026 J jnl
An accurate THINC scheme for interface capturing based on homotopy analysis method.
J. Comput. Phys.
Dezhu Chen, Shijun Liao, Bin Xie
2026 J jnl
Non-uniqueness of smooth solutions of the Navier-Stokes equations from almost the same initial conditions.
CoRR
Shijun Liao, Shijie Qin
2026 J jnl
Spatial symmetry invariance of solution of Kolmogorov flow.
CoRR
Shijun Liao
2025 J jnl
An automated parallel program of Clean Numerical Simulation for chaotic systems governed by ODEs.
Comput. Phys. Commun.
Bo Zhang, Shijun Liao
2025 J jnl
Clean numerical simulation (CNS) of three-dimensional turbulent Kolmogorov flow.
CoRR
Shijie Qin, Shijun Liao
2025 J jnl
Physical significance of artificial numerical noise in direct numerical simulation of turbulence.
CoRR
Shijun Liao, Shijie Qin
2024 J jnl
Noise-expansion cascade: an origin of randomness of turbulence.
CoRR
Shijun Liao, Shijie Qin
2024 J jnl
Ultra-Chaos: A Great Challenge for Machine Learning and AI.
Int. J. Bifurc. Chaos
Yu Yang, Shijun Liao
2023 J jnl
Ultra-Chaos in the Motion of Walking Droplet.
Int. J. Bifurc. Chaos
Yu Yang, Shijie Qin, Shijun Liao
2021 J jnl
Arbitrary high-order non-oscillatory scheme on hybrid unstructured grids based on multi-moment finite volume method.
J. Comput. Phys.
Bin Xie, Xi Deng, Shijun Liao, Feng Xiao
2021 J jnl
On Reliable Computation of Lifetime in Transient Chaos.
Int. J. Bifurc. Chaos
Tianzhuang Xu, Bin Xie, Shijun Liao
2021 J jnl
Three-body problem - from Newton to supercomputer plus machine learning.
CoRR
Shijun Liao, Xiaoming Li, Yu Yang
2020 J jnl
A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids.
J. Comput. Phys.
Bin Xie, Peng Jin, Hiroki Nakayama, Shijun Liao, Feng Xiao
2020 J jnl
On the risks of using double precision in numerical simulations of spatio-temporal chaos.
J. Comput. Phys.
Tianli Hu, Shijun Liao
2019 J jnl
A novel homotopy-wavelet approach for solving stream function-vorticity formulation of Navier-Stokes equations.
Commun. Nonlinear Sci. Numer. Simul.
Qiang Yu, Hang Xu, Shijun Liao, Zhaochen Yang
2019 J jnl
High-order multi-moment finite volume method with smoothness adaptive fitting reconstruction for compressible viscous flow.
J. Comput. Phys.
Bin Xie, Xi Deng, Shijun Liao, Feng Xiao
2018 J jnl
Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach.
Numer. Algorithms
Qiang Yu, Hang Xu, Shijun Liao
2018 J jnl
On the generalized wavelet-Galerkin method.
J. Comput. Appl. Math.
Zhaochen Yang, Shijun Liao
2017 J jnl
A HAM-based wavelet approach for nonlinear ordinary differential equations.
Commun. Nonlinear Sci. Numer. Simul.
Zhaochen Yang, Shijun Liao
2017 J jnl
A HAM-based wavelet approach for nonlinear partial differential equations: Two dimensional Bratu problem as an application.
Commun. Nonlinear Sci. Numer. Simul.
Zhaochen Yang, Shijun Liao
2017 J jnl
On the homotopy analysis method for backward/forward-backward stochastic differential equations.
Numer. Algorithms
Xiaoxu Zhong, Shijun Liao
2016 J jnl
On the method of directly defining inverse mapping for nonlinear differential equations.
Numer. Algorithms
Shijun Liao, Yinlong Zhao
2015 J jnl
A HAM-based analytic approach for physical models with an infinite number of singularities.
Numer. Algorithms
Dali Xu, Jifeng Cui, Shijun Liao, Ahmed Alsaedi
2015 J jnl
On cusped solitary waves in finite water depth.
Commun. Nonlinear Sci. Numer. Simul.
Shijun Liao
2015 J jnl
On the Inherent Self-Excited Macroscopic Randomness of Chaotic Three-Body Systems.
Int. J. Bifurc. Chaos
Shijun Liao, Xiaoming Li
2015 J jnl
Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces.
Numer. Algorithms
Umer Farooq, Tasawar Hayat, Ahmed Alsaedi, Shijun Liao
2014 J jnl
Can We Obtain a Reliable Convergent Chaotic Solution in any Given Finite Interval of Time?
Int. J. Bifurc. Chaos
Shijun Liao
2014 J jnl
Do peaked solitary water waves indeed exist?
Commun. Nonlinear Sci. Numer. Simul.
Shijun Liao
2014 J jnl
Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel.
Appl. Math. Comput.
Umer Farooq, Tasawar Hayat, Ahmed Alsaedi, Shijun Liao
2014 J jnl
Physical limit of prediction for chaotic motion of three-body problem.
Commun. Nonlinear Sci. Numer. Simul.
Shijun Liao
2013 J jnl
An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain.
Comput. Phys. Commun.
Yinlong Zhao, Zhiliang Lin, Shijun Liao
2013 J jnl
Symbolic computation of strongly nonlinear periodic oscillations.
J. Symb. Comput.
Yinping Liu, Shijun Liao, Zhibin Li
2012 J jnl
A maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations.
J. Syst. Sci. Complex.
Yinping Liu, Shijun Liao, Zhibin Li
2012 J jnl
The improved homotopy analysis method for the Thomas-Fermi equation.
Appl. Math. Comput.
Yinlong Zhao, Zhiliang Lin, Zeng Liu, Shijun Liao
2009 J jnl
Laminar flow and heat transfer in the boundary-layer of non-Newtonian fluids over a stretching flat sheet.
Comput. Math. Appl.
Hang Xu, Shijun Liao
2009 J jnl
The explicit series solution of SIR and SIS epidemic models.
Appl. Math. Comput.
Hina Khan, Ram N. Mohapatra, K. Vajravelu, Shijun Liao
2007 J jnl
Newton-homotopy analysis method for nonlinear equations.
Appl. Math. Comput.
Saeid Abbasbandy, Y. Tan, Shijun Liao
2005 J jnl
An analytic approach to solve multiple solutions of a strongly nonlinear problem.
Appl. Math. Comput.
Shuicai Li, Shijun Liao
2005 J jnl
Comparison between the homotopy analysis method and homotopy perturbation method.
Appl. Math. Comput.
Shijun Liao
2004 J jnl
On the homotopy analysis method for nonlinear problems.
Appl. Math. Comput.
Shijun Liao
2003 J jnl
A new analytic algorithm of Lane-Emden type equations.
Appl. Math. Comput.
Shijun Liao
2003 J jnl
An explicit analytic solution to the Thomas-Fermi equation.
Appl. Math. Comput.
Shijun Liao