** **

1. **Yinnian He**: Professor of Mathematics in Xi'an Jiaotong University

**2. Educations:**

A: Shaanxi Normal University (1978-1982), Major: Mathematics; Degree: B.S.

B: Xi'an Jiaotong University (1983-1986), Major: Computational Mathematics,

Degree: M.S.

C: Xi'an Jiaotong University (1989-1992), Major: Computational Fluid Dynamics,

Degree: Ph.D.

**6. Research Field:**

- Computational Mathematics;
- Computational Fluid Dynamics;
- Numerical Analysis for Partial Differential Equations.

**7. Teaching Courses:**

Linear Algebra; Advanced Calculs;

Distribution and Sobolev Space;

Mathematical Physics Equations;

Nonlinear Problem and Numerical Analysis;

Mathematical Physics Problems in Continuous Field;

Partial Differential Equations.

**8. Yinnian He's Publications:**

- A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes, Journal of Computational and Applied Mathematics, vol. 299, pp. 101–126, 2016.
- Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics, Science China Mathematics, vol. 59, no. 3, pp. 589–608, 2016.
- An efficient and accurate fully discrete finite element method for unsteady incompressible Oldroyd fluids with large time step, International Journal for Numerical Methods in Fluids, vol. 80, no. 6, pp. 375–394, 2016.
- Convergence of the crank-nicolson/newton scheme for nonlinear parabolic problem, Acta Mathematica Scientia, vol. 36, no. 1, pp. 124–138, 2016.
- First-order decoupled finite element method of the three-dimensional primitive equations of the ocean,SIAM Journal on Scientific Computing, vol. 38, no. 1, pp. A273–A301, 2016.
- An efficient two-step algorithm for the incompressible flow problem, Advances in Computational Mathematics, vol. 41, no. 6, pp. 1059–1077, 2015.
- Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics,Journal of Scientific Computing, vol. 63, no. 2, pp. 426–451, 2015.
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations, IMA Journal of Numerical Analysis, vol. 35, no. 2, pp. 767–801, 2015.
- Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics, Journal of Scientific Computing, vol. 65, no. 3, pp. 920–939, 2015.
- H2-Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier–Stokes Equations, Journal of Scientific Computing, vol. 62, no. 1, pp. 230–264, 2015.
- Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation, Computers and Mathematics with Applications, vol. 69, no. 12, pp. 1390–1406, 2015.
- Second order decoupled implicit/explicit method of the primitive equations of the ocean i: Time discretization, International Journal of Numerical Analysis and Modeling, vol. 12, no. 1, pp. 1–30, 2015.
- Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations: Numerical implementation, International Journal of Numerical Methods for Heat and Fluid Flow, vol. 25, no. 8, pp. 1912–1923, 2015.
- Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations, Journal of Mathematical Analysis and Applications, vol. 423, no. 2, pp. 1129–1149, 2015.
- Discontinuous finite volume methods for the stationary Stokes-Darcy problem, International Journal for Numerical Methods in Engineering, 2015.
- On two-level Oseen iterative methods for the 2D/3D steady Navier-Stokes equations, Computers and Fluids, vol. 107, pp. 89–99, 2015.
- Steady-state solutions and stability for a cubic autocatalysis model, Communications on Pure and Applied Analysis, vol. 14, no. 3, pp. 1147–1167, 2015.
- Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one, Discrete and Continuous Dynamical Systems - Series B, vol. 20, no. 8, pp. 2583–2609, 2015.
- Modified characteristics mixed defect-correction finite element method for the time-dependent Navier–Stokes problems, Applicable Analysis, vol. 94, no. 4, pp. 701–724, 2015.
- Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain, Computers and Mathematics with Applications, 2014.
- An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation, Journal of Computational Physics, vol. 269, pp. 138–155, 2014.
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics, Computer Methods in Applied Mechanics and Engineering, vol. 276, pp. 287–311, 2014.
- First order decoupled method of the primitive equations of the ocean I: Time discretization, Journal of Mathematical Analysis and Applications, vol. 412, no. 2, pp. 895–921, 2014.
- A new high-order compact adi method for 3-d unsteady convection-diffusion problems with discontinuous coefficients, Numerical Heat Transfer, Part B: Fundamentals, vol. 65, no. 4, pp. 376–391, 2014.
- A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation, Applied Mathematics and Computation, vol. 230, pp. 9–26, 2014.
- Analysis of a fully discrete local discontinuous galerkin method for time-fractional fourth-order problems, Applied Mathematical Modelling, vol. 38, no. 4, pp. 1511–1522, 2014.
- Two-level multiscale finite element methods for the steady navier-stokes problem, Acta Mathematica Scientia, vol. 34, no. 3, pp. 960–972, 2014.
- Global H2-regularity results of the 3D primitive equations of the ocean, International Journal of Numerical Analysis and Modeling, vol. 11, no. 3, pp. 452–477, 2014.
- A robust high-order compact method for the three dimensional nonlinear biharmonic equations,International Journal of Computational Methods, vol. 11, no. 4, 2014.
- A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation, International Journal of Computer Mathematics, vol. 91, no. 9, pp. 2021–2038, 2014.
- Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method, Computer Physics Communications, vol. 185, no. 10, pp. 2449–2455, 2014.
- H1-Super-convergence of center finite difference method based on P1-element for the elliptic equation,Applied Mathematical Modelling, vol. 38, no. 23, pp. 5439–5455, 2014.
- Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain, Computers and Mathematics with Applications, vol. 68, no. 7, pp. 770–788, 2014.
- Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem, Computers and Mathematics with Applications, vol. 67, no. 1, pp. 1–25, 2014.
- An iterative meshfree method for the elliptic monge-ampère equation in 2D, Numerical Methods for Partial Differential Equations, vol. 30, no. 5, pp. 1507–1517, 2014.
- A finite element analysis on fluid motion in librating triaxial ellipsoids, Numerical Methods for Partial Differential Equations, vol. 30, no. 5, pp. 1518–1537, 2014.
- Two-level hierarchical basis preconditioner for elliptic equations with jump coefficients∗, Journal of Computational Analysis and Applications, vol. 16, no. 3, pp. 515–527, 2014.
- Analysis of a local discontinuous Galerkin method for time-fractional advection-diffusion equations,International Journal of Numerical Methods for Heat and Fluid Flow, vol. 23, no. 4, pp. 634–648, 2013.
- A quadratic equal-order stabilized finite element method for the conduction-convection equations,Computers and Fluids, vol. 86, pp. 169–176, 2013.
- Two-level Newton's method for nonlinear elliptic PDEs, Journal of Scientific Computing, vol. 57, no. 1, pp. 124–145, 2013.
- Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin method, Numerical Methods for Partial Differential Equations, vol. 29, no. 5, pp. 1441–1458, 2013.
- Finite difference streamline diffusion method using nonconforming space for incompressible time-dependent Navier-Stokes equations, Applied Mathematics and Mechanics (English Edition), vol. 34, no. 9, pp. 1083–1096, 2013.
- Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem,International Journal of Computer Mathematics, vol. 90, no. 9, pp. 1938–1957, 2013.
- Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations, Applied Mathematics and Mechanics (English Edition), vol. 34, no. 8, pp. 953–970, 2013.
- Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations, Frontiers of Mathematics in China, vol. 8, no. 4, pp. 837–854, 2013.
- Homotopy analysis method for space-time fractional differential equations, International Journal of Numerical Methods for Heat and Fluid Flow, vol. 23, no. 6, pp. 1063–1075, 2013.
- Numerical analysis of the fractional seventh-order KdV equation using an implicit fully discrete local discontinuous Galerkin method, International Journal of Numerical Analysis and Modeling, vol. 10, no. 2, pp. 430–444, 2013.
- Cascadic meshfree method for the elliptic Monge-Ampère equation, Engineering Analysis with Boundary Elements, vol. 37, no. 7-8, pp. 990–996, 2013.
- H1-Stability and convergence of the FE, FV and FD methods for an elliptic equation, East Asian Journal on Applied Mathematics, vol. 3, no. 2, pp. 154–170, 2013.
- Convergence analysis of a new multiscale finite element method with the P1/P0 element for the incompressible flow, Computer Methods in Applied Mechanics and Engineering, vol. 258, pp. 13–25, 2013.
- A second order modified characteristics variational multiscale finite element method for time-dependent Navier-Stokes problems, Journal of Computational Mathematics, vol. 31, no. 2, pp. 154–174, 2013.
- Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations, Applied Mathematical Modelling, vol. 37, no. 3, pp. 728–741, 2013.
- Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods, Numerical Algorithms, vol. 63, no. 1, pp. 143–164, 2013.
- Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations, Numerische Mathematik, vol. 123, no. 1, pp. 67–96, 2013.
- Some iterative finite element methods for steady Navier-Stokes equations with different viscosities,Journal of Computational Physics, vol. 232, no. 1, pp. 136–152, 2013.
- Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 93, no. 1, pp. 14–28, 2013.
- A family of fourth-order and sixth-order compact difference schemes for the three-dimensional poisson equation, Journal of Scientific Computing, vol. 54, no. 1, pp. 97–120, 2013.
- Solving the elliptic Monge-Ampère equation by Kansa's method, Engineering Analysis with Boundary Elements, vol. 37, no. 1, pp. 84–88, 2013.
- Cascadic multigrid preconditioner for elliptic equations with jump coefficients, Electronic Transactions on Numerical Analysis, vol. 39, pp. 333–339, 2012.
- A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations, Numerische Mathematik, vol. 122, no. 2, pp. 279–304, 2012.
- Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation, Finite Elements in Analysis and Design, vol. 59, pp. 28–34, 2012.
- Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equations, Numerical Methods for Partial Differential Equations, vol. 28, no. 5, pp. 1620–1642, 2012.
- P 1-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations, Journal of Scientific Computing, vol. 52, no. 3, pp. 519–545, 2012.
- Numerical Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Fractional Zakharov-Kuznetsov Equation, Mathematical Modelling and Analysis, vol. 17, no. 4, pp. 558–570, 2012.
- A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs, Journal of Mathematical Analysis and Applications, vol. 392, no. 2, pp. 209–224, 2012.
- Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations, Journal of Computational Physics, vol. 231, no. 20, pp. 6790–6800, 2012.
- A generalized fractional sub-equation method for fractional differential equations with variable coefficients, Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 376, no. 38-39, pp. 2588–2590, 2012.
- Long time numerical stability and asymptotic analysis for the viscoelastic oldroyd flows, Discrete and Continuous Dynamical Systems - Series B, vol. 17, no. 5, pp. 1551–1573, 2012.
- On error estimates of the penalty method for the unsteady conduction-convection problem I: Time Discretization, International Journal of Numerical Analysis and Modeling, vol. 9, no. 4, pp. 876–891, 2012.
- A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration, Mathematical Methods in the Applied Sciences, vol. 35, no. 9, pp. 1033–1046, 2012.
- Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations,Applied Mathematics and Computation, vol. 218, no. 17, pp. 8269–8278, 2012.
- Two-level stabilized finite element method for Stokes eigenvalue problem, Applied Mathematics and Mechanics (English Edition), vol. 33, no. 5, pp. 621–630, 2012.
- Fully discrete finite element method based on pressure stabilization for the transient Stokes equations,Mathematics and Computers in Simulation, vol. 82, no. 8, pp. 1496–1515, 2012.
- Nonconforming spline collocation methods in irregular domains II: Error analysis, Numerical Methods for Partial Differential Equations, vol. 28, no. 2, pp. 441–456, 2012.
- A defect-correction method for unsteady conductionconvection problems II: Time discretization,Journal of Computational and Applied Mathematics, vol. 236, no. 9, pp. 2553–2573, 2012.
- Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid, Discrete and Continuous Dynamical Systems, vol. 32, no. 2, pp. 657–677, 2012.
- The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems, Applied Mathematical Modelling, vol. 36, no. 2, pp. 561–572, 2012.
- A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol. 209-212, pp. 172–183, 2012.
- The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial data, Numerical Methods for Partial Differential Equations, vol. 28, no. 1, pp. 155–187, 2012.
- Astabilized finite element method for non-stationary conduction-convection problems, Advances in Applied Mathematics and Mechanics, vol. 3, no. 2, pp. 239–258, 2011.
- The local discontinuous Galerkin finite element method for Burger's equation, Mathematical and Computer Modelling, vol. 54, no. 11-12, pp. 2943–2954, 2011.
- Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations, Applied Mathematical Modelling, vol. 35, no. 12, pp. 5856–5871, 2011.
- A local superconvergence analysis of the finite element method for the Stokes equations by local projections, Nonlinear Analysis, Theory, Methods and Applications, vol. 74, no. 17, pp. 6499–6511, 2011.
- Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem,Mathematical Problems in Engineering, vol. 2011, 2011.
- A new parallel finite element algorithm for the stationary Navier-Stokes equations, Finite Elements in Analysis and Design, vol. 47, no. 11, pp. 1262–1279, 2011.
- Homotopy analysis method for higher-order fractional integro-differential equations, Computers and Mathematics with Applications, vol. 62, no. 8, pp. 3194–3203, 2011.
- Variable-coefficient discrete (G′/G) -expansion method for nonlinear differential-difference equations,Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 375, no. 38, pp. 3355–3361, 2011.
- Global asymptotical properties for a diffused HBV infection model with CTL immune response and nonlinear incidence, Acta Mathematica Scientia, vol. 31, no. 5, pp. 1959–1967, 2011.
- On error estimates of the fully discrete penalty method for the viscoelastic flow problem, International Journal of Computer Mathematics, vol. 88, no. 10, pp. 2199–2220, 2011.
- Galerkin and subspace decomposition methods in space and time for the NavierStokes equations,Nonlinear Analysis, Theory, Methods and Applications, vol. 74, no. 10, pp. 3218–3231, 2011.
- A new stabilized subgrid eddy viscosity method based on pressure projection and extrapolated trapezoidal rule for the transient Navier-Stokes equations, Journal of Computational Mathematics, vol. 29, no. 4, pp. 415–440, 2011.
- The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial data, Numerical Methods for Partial Differential Equations, 2011.
- A defect-correction mixed finite element method for stationary conduction-convection problems,Mathematical Problems in Engineering, vol. 2011, 2011.
- Modified homotopy perturbation method for solving the Stokes equations, Computers and Mathematics with Applications, vol. 61, no. 8, pp. 2262–2266, 2011.
- Parallel finite element algorithms based on fully overlapping domain decomposition for time-dependent Navier-Stokes equations, Jisuan Wuli/Chinese Journal of Computational Physics, vol. 28, no. 2, pp. 181–187, 2011.
- A two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projection, Numerical Methods for Partial Differential Equations, vol. 27, no. 2, pp. 460–477, 2011.
- A defect-correction method for unsteady conduction convection problems I: Spatial discretization,Science China Mathematics, vol. 54, no. 1, pp. 185–204, 2011.
- A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier-Stokes equations, Computers and Fluids, vol. 40, no. 1, pp. 249–257, 2011.
- On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations, International Journal of Numerical Analysis and Modeling, vol. 8, no. 1, pp. 70–85, 2011.
- A Posteriori error estimate for stabilized low-order mixed fem for the stokes equations, Advances in Applied Mathematics and Mechanics, vol. 2, no. 6, pp. 798–809, 2010.
- On error estimates of the penalty method for the viscoelastic flow problem I: Time discretization,Applied Mathematical Modelling, vol. 34, no. 12, pp. 4089–4105, 2010.
- Computer implementation of a coupled boundary and finite element methods for the steady exterior Oseen problem, Mathematical Problems in Engineering, vol. 2010, 2010.
- A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations, Journal of Computational and Applied Mathematics, vol. 235, no. 3, pp. 708–725, 2010.
- Fully discrete finite element approximations of a polymer gel model, SIAM Journal on Numerical Analysis, vol. 48, no. 6, pp. 2186–2217, 2010.
- A stabilised characteristic finite element method for transient Navier-Stokes equations, International Journal of Computational Fluid Dynamics, vol. 24, no. 9, pp. 369–381, 2010.
- Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditions, Applied Mathematics and Computation, vol. 217, no. 2, pp. 801–810, 2010.
- A coupled Newton iterative mixed finite element method for stationary conduction-convection problems, Computing (Vienna/New York), vol. 89, no. 1-2, pp. 1–25, 2010.
- Two-level stabilized finite element method for the transient Navier-Stokes equations, International Journal of Computer Mathematics, vol. 87, no. 10, pp. 2341–2360, 2010.
- Newton iterative parallel finite element algorithm for the steady navier-stokes equations, Journal of Scientific Computing, vol. 44, no. 1, pp. 92–106, 2010.
- Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equations, Applied Numerical Mathematics, vol. 60, no. 7, pp. 719–737, 2010.
- Subgrid model for the stationary incompressible Navier-Stokes equations based on the high order polynomial interpolation, International Journal of Numerical Analysis and Modeling, vol. 7, no. 4, pp. 734–748, 2010.
- Assessment of subgrid-scale models for the incompressible Navier-Stokes equations, Journal of Computational and Applied Mathematics, vol. 234, no. 2, pp. 593–604, 2010.
- Parallel finite element algorithm based on full domain partition for stationary Stokes equations, Applied Mathematics and Mechanics (English Edition), vol. 31, no. 5, pp. 643–650, 2010.
- Fully discrete finite element method for the viscoelastic fluid motion equations, Discrete and Continuous Dynamical Systems - Series B, vol. 13, no. 3, pp. 665–684, 2010.
- Numerical implementation of the Crank Nicolson/Adams Bashforth scheme for the time-dependent Navier Stokes equations, International Journal for Numerical Methods in Fluids, vol. 62, no. 6, pp. 647–659, 2010.
- An inf-sup stabilized finite element method by multiscale functions for the stokes equations, Advances in Applied Mathematics and Mechanics, vol. 1, no. 2, pp. 273–287, 2009.
- Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs, Computing (Vienna/New York), vol. 86, no. 1, pp. 37–51, 2009.
- Fourier analysis of Schwarz domain decomposition methods for the biharmonic equation, Applied Mathematics and Mechanics (English Edition), vol. 30, no. 9, pp. 1177–1182, 2009.
- Combination of standard galerkin and subspace methods for the time-dependent navier-stokes equations with nonsmooth initial data, Numerical Methods for Partial Differential Equations, vol. 25, no. 5, pp. 1009–1028, 2009.
- Application of modified homotopy perturbation method for solving the augmented systems, Journal of Computational and Applied Mathematics, vol. 231, no. 1, pp. 288–301, 2009.
- Two-level Galerkin-Lagrange multipliers method for the stationary Navier-Stokes equations, Journal of Computational and Applied Mathematics, vol. 230, no. 2, pp. 504–512, 2009.
- Stabilized multiscale finite element method for the stationary Navier-Stokes equations, Journal of Mathematical Analysis and Applications, vol. 354, no. 2, pp. 708–717, 2009.
- Traveling wavefronts for a two-species ratio-dependent predator-prey system with diffusion terms and stage structure, Nonlinear Analysis: Real World Applications, vol. 10, no. 3, pp. 1691–1701, 2009.
- Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol. 198, no. 15-16, pp. 1351–1359, 2009.
- Traveling wavefronts for a two-species predator-prey system with diffusion terms and stage structure,Applied Mathematical Modelling, vol. 33, no. 3, pp. 1356–1365, 2009.
- The convergence of a new parallel algorithm for the Navier-Stokes equations, Nonlinear Analysis: Real World Applications, vol. 10, no. 1, pp. 23–41, 2009.
- Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation, Numerical Methods for Partial Differential Equations, vol. 24, no. 6, pp. 1485–1500, 2008.
- Asymptotic behavior of linearized viscoelastic flow problem, Discrete and Continuous Dynamical Systems - Series B, vol. 10, no. 4, pp. 843–856, 2008.
- A penalty finite volume method for the transient Navier-Stokes equations, Applied Numerical Mathematics, vol. 58, no. 11, pp. 1583–1613, 2008.
- A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations, Applied Numerical Mathematics, vol. 58, no. 10, pp. 1503–1514, 2008.
- The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data, Mathematics of Computation, vol. 77, no. 264, pp. 2097–2124, 2008.
- A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations, Applied Mathematics and Computation, vol. 202, no. 2, pp. 700–707, 2008.
- The existence of global attractors for semilinear parabolic equation in Hk spaces, Nonlinear Analysis, Theory, Methods and Applications, vol. 68, no. 11, pp. 3541–3549, 2008.
- Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics,Applied Mathematics and Computation, vol. 199, no. 1, pp. 231–241, 2008.
- Local and parallel finite element algorithms for the stokes problem, Numerische Mathematik, vol. 109, no. 3, pp. 415–434, 2008.
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations,Journal of Computational and Applied Mathematics, vol. 214, no. 1, pp. 58–65, 2008.
- Diffusion effect and stability analysis of a predator-prey system described by a delayed reaction-diffusion equations, Journal of Mathematical Analysis and Applications, vol. 339, no. 2, pp. 1432–1450, 2008.
- A simplified two-level method for the steady Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol. 197, no. 17-18, pp. 1568–1576, 2008.
- The numerical rank of a matrix and its applications, Applied Mathematics and Computation, vol. 196, no. 1, pp. 416–421, 2008.
- Global existence of solutions of a nonlinear degenerate parabolic problem, Journal of Physics: Conference Series, vol. 96, no. 1, 2008.
- Stability of a predator-prey system with diffusion and stage structure, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 15, no. 1, pp. 53–75, 2008.
- Stability and error analysis for spectral Galerkin method for the Navier-Stokes equations with L2 initial data, Numerical Methods for Partial Differential Equations, vol. 24, no. 1, pp. 79–103, 2008.
- Stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations, SIAM Journal on Numerical Analysis, vol. 45, no. 2, pp. 837–869, 2007.
- Global Ln strong solutions to magneto-hydro-dynamics equations in the ℝn space, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 14, no. 6, pp. 805–835, 2007.
- A new stabilized finite element method for the transient Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol. 197, no. 1-4, pp. 22–35, 2007.
- Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem,Numerical Methods for Partial Differential Equations, vol. 23, no. 5, pp. 1167–1191, 2007.
- A multi-level discontinuous Galerkin method for solving the stationary Navier-Stokes equations,Nonlinear Analysis, Theory, Methods and Applications, vol. 67, no. 5, pp. 1403–1411, 2007.
- Reformed post-processing Galerkin method for the Navier-stokes equations, Discrete and Continuous Dynamical Systems - Series B, vol. 8, no. 2, pp. 369–387, 2007.
- The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem,Journal of Computational and Applied Mathematics, vol. 205, no. 1, pp. 651–665, 2007.
- Stability and bifurcation for a kind of nonlinear delayed differential equations, Applied Mathematics and Computation, vol. 190, no. 1, pp. 677–685, 2007.
- A multi-level stabilized finite element method for the stationary Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol. 196, no. 29-30, pp. 2852–2862, 2007.
- On large time-stepping methods for the Cahn-Hilliard equation, Applied Numerical Mathematics, vol. 57, no. 5-7 SPEC. ISS., pp. 616–628, 2007.
- Analysis of finite element approximations of a phase field model for two-phase fluids, Mathematics of Computation, vol. 76, no. 258, pp. 539–571, 2007.
- High order iterative methods without derivatives for solving nonlinear equations, Applied Mathematics and Computation, vol. 186, no. 2, pp. 1617–1623, 2007.
- Superconvergence of discontinuous Galerkin finite element method for the stationary Navier-Stokes equations, Numerical Methods for Partial Differential Equations, vol. 23, no. 2, pp. 421–436, 2007.
- Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations, Mathematics of Computation, vol. 76, no. 257, pp. 115–136, 2007.
- A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition, Applied Mathematics and Computation, vol. 182, no. 1, pp. 24–35, 2006.
- Multi-level spectral Galerkin method for the Navier-Stokes equations, II: Time discretization, Advances in Computational Mathematics, vol. 25, no. 4, pp. 403–433, 2006.
- Retraction to "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain" [Appl. Math. Lett. 18 (2005) 1170-1176] (DOI:10.1016/j.aml.2005.02.005), Applied Mathematics Letters, vol. 19, no. 8, pp. 840, 2006.
- Local and parallel finite element algorithms for the Navier-Stokes problem, Journal of Computational Mathematics, vol. 24, no. 3, pp. 227–238, 2006.
- Parametric iterative methods of second-order for solving nonlinear equation, Applied Mathematics and Computation, vol. 173, no. 2, pp. 1060–1067, 2006.
- Stokes coupling method for the exterior flow Part IV: Stabilized finite element approximation, Applied Mathematics and Computation, vol. 172, no. 2 SPEC. ISS., pp. 1225–1238, 2006.
- Stabilized finite element method for the non-stationary navier-stokes problem, Discrete and Continuous Dynamical Systems - Series B, vol. 6, no. 1, pp. 41–68, 2006.
- A multilevel finite element method in space-time for the Navier-Stokes problem, Numerical Methods for Partial Differential Equations, vol. 21, no. 6, pp. 1052–1078, 2005.
- Asymptotic behavior of the Navier-Stokes flow in a general 2D domain, Applied Mathematics Letters, vol. 18, no. 10, pp. 1170–1176, 2005.
- Multi-level spectral galerkin method for the navier-stokes problem I : Spatial discretization, Numerische Mathematik, vol. 101, no. 3, pp. 501–522, 2005.
- Stability and error analysis for a spectral Galerkin method for the Navier-Stokes equations with H2 or H1 initial data, Numerical Methods for Partial Differential Equations, vol. 21, no. 5, pp. 875–904, 2005.
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