近年发表的代表性论文 1. Liyong Zhu, Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations, Advances in Applied Mathematics and Mechanics, 2017, 1(9), 157-172. 2. Liyong Zhu ,Lili Ju ,Weidong Zhao,Fast High-order Compact Exponential Time Differencing Runge-Kutta Methods for Second-order Semilinear Parabolic Equations,Journal of Scientific Computing, 2016, 3(67):1043-1065. 3.Liyong Zhu, Qiang Du, Mesh dependent stability and condition number estimates for finite element approximations of parabolic equations, Mathematics of Computation, 83 (2014), 37-64. 4. Liyong Zhu, Qiang Du, Error Estimates for Approximations of a Gradient Dynamics for Phase Field Elastic Bending Energy of Vesicle Membrane Deformation,Mathematical methods in the applied sciences, 37(2014), 913-930. 5. Lili Ju, Jian Zhang, Liyong Zhu and Qiang Du, Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations, Journal of Scientific Computing, 62(2015), 431-455. 6. Liyong Zhu, Qiang Du, Mesh Dependent Stability for Finite Element Approximations of Parabolic Problems with Mass Lumping, Journal of Computational and Applied Math, 236(2011), 801-811. 7.Liyong Zhu, Yu Wang, Lili Ju and Desheng Wang, A Variational Phase Field Method for Curve Smoothing, Journal of Computational Physics, Vol. 229, Issue 6, 2010, 2390-2400. 8. Liyong Zhu, Guangwei Yuan and Qiang Du, An Efficient Explicit/Implicit Domain Decomposition Method for Convection-Diffusion Equations, Numerical Methods for Partial Differential Equations, Vol.26 Issue 4,2010, 852–873. 9.Qiang Du, Desheng Wang and Liyong Zhu, On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces, SIAM Journal of Numerical Analysis, Vol. 47, Issue 2, 2009, 1421-1444. 10.Liyong Zhu, Guangwei Yuan and Qiang Du, An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-dimensional Convection-Diffusion Equations,Numerical Mathematics:Theory, Methods and Applications, Vol. 2. Issue 3, 2009, 301-325. 11. Qiang Du,Liyong Zhu, Analysis of a Mixed Finite Element Method for Phase Field Elastic Bending Energy of Vesicle Membrane Deformation, Journal of Computational Mathematics, Vol.24, No.3, 2006, 265-280. |