 | 2012 |
| 36 |  | Kun Wang,
Yinnian He:
Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations.
Applied Mathematics and Computation 218(17): 8269-8278 (2012) |
| 35 |  | Zhiyong Si,
Yinnian He,
Tong Zhang:
A defect-correction method for unsteady conduction-convection problems II: Time discretization.
J. Computational Applied Mathematics 236(9): 2553-2573 (2012) |
| 34 |  | Tong Zhang,
Yinnian He:
Fully discrete finite element method based on pressure stabilization for the transient Stokes equations.
Mathematics and Computers in Simulation 82(8): 1496-1515 (2012) |
| 2011 |
| 33 |  | Xinlong Feng,
Yinnian He:
Modified homotopy perturbation method for solving the Stokes equations.
Computers & Mathematics with Applications 61(8): 2262-2266 (2011) |
| 32 |  | Xindong Zhang,
Bo Tang,
Yinnian He:
Homotopy analysis method for higher-order fractional integro-differential equations.
Computers & Mathematics with Applications 62(8): 3194-3203 (2011) |
| 31 |  | Kun Wang,
Yinnian He,
Xinlong Feng:
On error estimates of the fully discrete penalty method for the viscoelastic flow problem.
Int. J. Comput. Math. 88(10): 2199-2220 (2011) |
| 30 |  | Long Shao,
Xinlong Feng,
Yinnian He:
The local discontinuous Galerkin finite element method for Burger's equation.
Mathematical and Computer Modelling 54(11-12): 2943-2954 (2011) |
| 2010 |
| 29 |  | Tong Zhang,
Yinnian He:
Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditions.
Applied Mathematics and Computation 217(2): 801-810 (2010) |
| 28 |  | Zhiyong Si,
Yinnian He:
A coupled Newton iterative mixed finite element method for stationary conduction-convection problems.
Computing 89(1-2): 1-25 (2010) |
| 27 |  | Kun Wang,
Minfu Feng,
Yinnian He:
Two-level stabilized finite element method for the transient Navier-Stokes equations.
Int. J. Comput. Math. 87(10): 2341-2360 (2010) |
| 26 |  | Yan Zhang,
Yinnian He:
Assessment of subgrid-scale models for the incompressible Navier-Stokes equations.
J. Computational Applied Mathematics 234(2): 593-604 (2010) |
| 25 |  | Yinnian He,
Jian Li:
A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations.
J. Computational Applied Mathematics 235(3): 708-725 (2010) |
| 24 |  | Yinnian He,
Liquan Mei,
Yueqiang Shang,
Juan Cui:
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations.
J. Sci. Comput. 44(1): 92-106 (2010) |
| 23 |  | Xiaobing Feng,
Yinnian He:
Fully Discrete Finite Element Approximations of a Polymer Gel Model.
SIAM J. Numerical Analysis 48(6): 2186-2217 (2010) |
| 2009 |
| 22 |  | Jian Li,
Yinnian He,
Zhangxin Chen:
Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs.
Computing 86(1): 37-51 (2009) |
| 21 |  | Xinlong Feng,
Yinnian He,
Jixiang Meng:
Application of modified homotopy perturbation method for solving the augmented systems.
J. Computational Applied Mathematics 231(1): 288-301 (2009) |
| 2008 |
| 20 |  | Xinlong Feng,
Yinnian He,
Zhinan Zhang:
The numerical rank of a matrix and its applications.
Applied Mathematics and Computation 196(1): 416-421 (2008) |
| 19 |  | Tong Zhang,
Hanchun Yang,
Yinnian He:
Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics.
Applied Mathematics and Computation 199(1): 231-241 (2008) |
| 18 |  | Zhihao Ge,
Minfu Feng,
Yinnian He:
A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations.
Applied Mathematics and Computation 202(2): 700-707 (2008) |
| 17 |  | Yinnian He:
The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data.
Math. Comput. 77(264): 2097-2124 (2008) |
| 2007 |
| 16 |  | Xinlong Feng,
Yinnian He:
High order iterative methods without derivatives for solving nonlinear equations.
Applied Mathematics and Computation 186(2): 1617-1623 (2007) |
| 15 |  | Lingyu Song,
Yinnian He,
Zhihao Ge:
Stability and bifurcation for a kind of nonlinear delayed differential equations.
Applied Mathematics and Computation 190(1): 677-685 (2007) |
| 14 |  | Yinnian He,
Weiwei Sun:
Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations.
Math. Comput. 76(257): 115-136 (2007) |
| 13 |  | Xiaobing Feng,
Yinnian He,
Chun Liu:
Analysis of finite element approximations of a phase field model for two-phase fluids.
Math. Comput. 76(258): 539-571 (2007) |
| 12 |  | Yinnian He,
Weiwei Sun:
Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations.
SIAM J. Numerical Analysis 45(2): 837-869 (2007) |
| 2006 |
| 11 |  | Yinnian He,
Kam-Moon Liu:
Multi-level spectral Galerkin method for the Navier-Stokes equations, II: time discretization.
Adv. Comput. Math. 25(4): 403-433 (2006) |
| 10 |  | Yinnian He:
Retraction to "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain" [Appl. Math. Lett 18 (2005) 1170-1176].
Appl. Math. Lett. 19(8): 840 (2006) |
| 9 |  | Yinnian He:
Stokes coupling method for the exterior flow Part IV: stabilized finite element approximation.
Applied Mathematics and Computation 172(2): 1225-1238 (2006) |
| 8 |  | Xinlong Feng,
Yinnian He:
Parametric iterative methods of second-order for solving nonlinear equation.
Applied Mathematics and Computation 173(2): 1060-1067 (2006) |
| 7 |  | Jian Li,
Liquan Mei,
Yinnian He:
A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition.
Applied Mathematics and Computation 182(1): 24-35 (2006) |
| 2005 |
| 6 |  | Yinnian He,
Chunshan Zhao:
Asymptotic behavior of the Navier-Stokes flow in a general 2D domain.
Appl. Math. Lett. 18(10): 1170-1176 (2005) |
| 5 |  | Xiaolin Zhou,
Yinnian He:
Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations.
Applied Mathematics and Computation 163(2): 593-607 (2005) |
| 4 |  | Yinnian He,
Kaitai Li:
Two-level Stabilized Finite Element Methods for the Steady Navier-Stokes Problem.
Computing 74(4): 337-351 (2005) |
| 3 |  | Yinnian He:
Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations.
Math. Comput. 74(251): 1201-1216 (2005) |
| 2004 |
| 2 |  | Dongsheng Li,
Yinnian He:
A conjecture on fixed-point indices of mappings in cones.
Appl. Math. Lett. 17(1): 25-30 (2004) |
| 2003 |
| 1 |  | Yinnian He:
Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations.
SIAM J. Numerical Analysis 41(4): 1263-1285 (2003) |