Biography

Prof. Chuanmiao Chen

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


E-mail: cmchen@hunnu.edu.cn


Qualifications

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.

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