论文: [1] Galerkin Approximation of a class of nonlinear operator equations, Northeastern Math. J.,Vol.1, 1985, 223-233. [2] Euler difference scheme for ordinary differential equations and center manifolds, Northeastern Math. J.,Vol. 4, 1988,149-161. [3] Centre manifold and numerical solution of nonlinear differential equations. in Proceeding of the international conference on Bifurcation Theory and its numerical analysis, ed.by Li Kaitai, J. Marsden, M. Golubitsky and G.Ioos, Xian Jiaotong University Press, 362-366, 1989. [4] Finite dimensional approximation of branches of solutions of nonlinear problems near a cusp point, J. of Computational Mathematics,Vol.7,1989, 279-300. [5] On invariant closed curves of one-step methods and closed orbit for ordinary differential equations. Northeastern Math. J. Vol.7, 1991, 349-355. [6] Limit point bifurcation with multiplicity two and its finite dimensional approximation. Numerical Mathematics a Journal of Chinese University, Vol.15,1993, 1-14. [7] Numerical approximation of bounded solutions for semilinear elliptic equations in an unbounded cylindrical domain. Numerical Methods for Partial Differential Equations, Vol. 9, 1993,631-642. [8] Nonwandring set of dynamical system and long-term behaviour of difference schemes. in Proceeding of Conference on Scientific and Engineering Computing for Young Chinese Scientists, 204-207, National Defence Industry Press, 1994. [9](with T.Kuepper) A numerical method to calculate center manifolds of ODE's. Applicable Analysis, Vol. 54, 1994,1-15. [10](with T.Kuepper) Numerical calculation of invariant manifolds for maps.... 论文: [1] Galerkin Approximation of a class of nonlinear operator equations, Northeastern Math. J.,Vol.1, 1985, 223-233. [2] Euler difference scheme for ordinary differential equations and center manifolds, Northeastern Math. J.,Vol. 4, 1988,149-161. [3] Centre manifold and numerical solution of nonlinear differential equations. in Proceeding of the international conference on Bifurcation Theory and its numerical analysis, ed.by Li Kaitai, J. Marsden, M. Golubitsky and G.Ioos, Xian Jiaotong University Press, 362-366, 1989. [4] Finite dimensional approximation of branches of solutions of nonlinear problems near a cusp point, J. of Computational Mathematics,Vol.7,1989, 279-300. [5] On invariant closed curves of one-step methods and closed orbit for ordinary differential equations. Northeastern Math. J. Vol.7, 1991, 349-355. [6] Limit point bifurcation with multiplicity two and its finite dimensional approximation. Numerical Mathematics a Journal of Chinese University, Vol.15,1993, 1-14. [7] Numerical approximation of bounded solutions for semilinear elliptic equations in an unbounded cylindrical domain. Numerical Methods for Partial Differential Equations, Vol. 9, 1993,631-642. [8] Nonwandring set of dynamical system and long-term behaviour of difference schemes. in Proceeding of Conference on Scientific and Engineering Computing for Young Chinese Scientists, 204-207, National Defence Industry Press, 1994. [9](with T.Kuepper) A numerical method to calculate center manifolds of ODE's. Applicable Analysis, Vol. 54, 1994,1-15. [10](with T.Kuepper) Numerical calculation of invariant manifolds for maps. Numerical Linear Algebra with Applications Vol.1, 1994, 141-150. [11] Numerical calculation of center manifolds for a class of infinite-dimensional systems with applications. SIAM J.Numer.Anal., Vol. 32, 1995, 952-968. [12] Numerical computation of bounded solution for a semilinear elliptic equation on an infinite strip, Journal of Computational Mathematics, Vol. 17, 1999, 159-170. [13](with G.Bao, Y. Chen) Regularity and stability for the scattering map of linearized inverse medium problem. J. Math. Anal. Appl., Vol. 247, No. 1 (2000), 255-271. [14](with F.Sun) Numerical reconstruction of piecewise constant potential for one dimensional helmholtz equation, In Recent Development in Theories and Numerics international conference on inverse problems, Hongkong, China, World Sientific,2002. 265-269. [15](with W. Fang, Y. Xu ) Multi-level iteration methods for solving integral equations of the second kind, J.Integral Equations and Applications,Vol.14,2002,355-376. [16](with Guixia Lv) A Parallel Difference Scheme for Parabolic Equation, Journal of Jilin University (science edition),Vol.40, 2002, 327-330. [17](with Lixin Feng) A Sampling Method for solving inverse scattering problems with a locally perturbed half plane, Notheast.Math.J.Vol.19, 2003, 1-4. [18](with Lixin Feng) Galerkin-spectral method for a class of Helmholtz Equations with Periodic coefficients, Journal of Jilin University (science edition), Vol.41, 2003, 253-258. [19](with Deyue Zhang) Two-dimensional electromagnetic scattering from periodic chiral structures and its finite element approximation, Northeast. Math. J. Vol.20, 2004, 236-252. [20](with Guixia Lv) The Variable coefficient ABE-I method and its stability, Northeast. Math. J,2005。 [21](with Deyue Zhang) An integral equation method for electromagnetic scattering from a periodic chiral structure, Northeast. Math. J.2005. [22](with Lixin Feng) Uniqueness and Local Stability of the Inverse Scattering Problem from Cavity, Science in China, (accepted). [23](with Deyue Zhang) An inverse electromagnetic scattering problem for periodic chiral structures, to appear in Recent Development in Theories and Numerics international conference on inverse problems, Shanghai, China. [24](with Guixia Lv) Finite Difference Three-level Alternating Methods for the Two-dimensional Heat Equation on a Structured Triangular Mesh, J. Computational Physics. |