Prof. Chuanmiao Chen

School of Mathematics and Statistics
Central South University,China.
College of Mathematics and Statistics
Hunan Normal University,China.



1961 Wuhan University, China

Publications (selected)

  1. C.M. Chen. The Symmetry of Riemann \xi-function. Advances in Pure Mathematics. 2020,10:8, 464-470.
  2. C.M.Chen, J.Yang. The singularity-separated method for the singular perturbation problems in 1-D. Inter. J. Numer. Anal. Model. 15(2018):102-110.

  3. X.Q.Wang, C.M.Chen. Matrix time-extrapolation algorithm for semi-linear partabolic problems. Appl. Math. Letters. 64 (2017): 162-169.

  4. C.M.Chen, X.Q.Wang, H.L.HU. A high-efficient algorithm for partabolic problems with timw-dependent coefficients. Adv. Appl.Math.Mech. 9:2 (2017): 501-514

  5. J.X.Wang, C.M.Chen, Z.Q.Xie. The highest superconvergence of averaging discontinuous Galerkin method for two-point boundary-value problems. J.Sci.Comp.,70(2017):175-191

  6. C.M.Chen, H.L. Hu. Global existence of real roots and random Newton flow algorithm for nonlinear system of equations, Science China Math., 60:7(2017):1341-1352.

  7. H.L. Hu, C.M. Chen and K.J. Pan. Time-extrapolation algorithm for linear parabolic problem (The Eighth National Conference on Finite Elements) J. Comp. Math., 32:2, (2014): 183-194.

  8. H.L.Hu, C.M.Chen, K.J.Pan. Asymptotic expansions of finite element solutions for Robin problems in $H^3$ and its application in extrapolation cascadic multigrid method. Science China Math., 57:4(2014):687-698.

  9. C.M.Chen, H.L.Hu. Extrapolation cascadic multigrid method on piecewise uniform grid.(Special Issue, Dedicated to Prof. Zongci Shi on the Occasion of his 80th bathday) Science China,Math. 56:12(2013):2711-2722

  10. C.M.Chen, S.F.Hu. The highest order superconvergence for bi-k degree rectangular finite elements at nodes --A proof of "2k-conjecture". Math.Comp. 82:283(2013): 1337-1355.

  11. S.F. Hu, C.M. Chen. Runger-kutta method,finite element method, and regular algorithms of Hamilyon system. Appl. Math. Mech.,34:6(2013):747-760.

  12. C.M. Chen, Z.C.Shi, H.L. Hu. Extrapolation cascadic multigrid method. (Conference of China—Russa Comput. Math. 2010. Hongkong) J. Comput. Math., 29 (2011)., pp. 684-697.

  13. C.M.Chen, Q.Tang and S.F. HU. Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems. J. Comput. Math., 29(2011), pp. 167-184.

  14. C.M.Chen, H.L.Hu, Z.Q.Xie, C.L.Li. Analysis of extrapolation cascadic multigrid method(EXCMG). Science in China, Series A. Math., 51:8(2008): 1349-1360.

  15. C. M. Chen, Z. Q. Xie. Analysis of search-extension method for finding multiple solutions of nonlinear problem. Science in China, Series A, Math.2008, 51(1): 42-54.

  16. Q.Tang, C.M. Chen. Continuous finite element methods for Hamiltonian systems. Appl. Math. Mech. (English Ed.) 28 (2007), no. 8, 1071--1080.

  17. C.M. Chen. Introduction of Scientific Computation,[M], in Chinese. Beijing: Science Press. 2006.

  18. C.M. Chen, Z.Q.Xie. Search-extension mathod of computing multiple solutions for nonlinear Differential equations.[M], in Chinese, Beijing: Science Press, 2005

  19. C.M.Chen, Z.Q.Xie. Search-extension method for finding multiple solution of nonlinear problem. Science in China. Series A, Math.,. 48:6(2005): 721-734.

  20. Xie Z.Q., Chen C.M., Y. Xu, An improved Search-Extension Method for computing multiple solutions for semilinear PDE's. IMA J. Numer. Anal. 25(2005),549-576.

  21. Chen C.M. Orthogonality correction technique in superconvergence analysis. (Special Issue, International Conference of Finite Element Superconvergence and Post-Processing, 2004, Changsha) Intern. J. Numer. Anal. Model. 2005, 2(1),31-42.

  22. Chen C.M., Xie Z.Q. Search-extension method for multiple solutions of a nonlinear problem. Computers and Mathematics with Applications. 2004, 47, 327-343.

  23. Chen C.M., Xie Z.Q. Structure of multiple solutions for nonlinear differential equations. Scince in China. Ser. A Mathematics. 2004, 47.Supp. 172-180.