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)
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C.M. Chen. The Symmetry of Riemann
\xi-function. Advances in Pure Mathematics. 2020,10:8, 464-470.
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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.
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X.Q.Wang, C.M.Chen. Matrix
time-extrapolation algorithm for semi-linear partabolic problems. Appl. Math.
Letters. 64 (2017): 162-169.
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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
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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
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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.
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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.
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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.
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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
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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.
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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.
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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.
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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.
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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.
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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.
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Q.Tang, C.M. Chen. Continuous finite
element methods for Hamiltonian systems. Appl. Math. Mech. (English Ed.) 28
(2007), no. 8, 1071--1080.
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C.M. Chen. Introduction of Scientific
Computation,[M], in Chinese. Beijing: Science Press. 2006.
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C.M. Chen, Z.Q.Xie. Search-extension
mathod of computing multiple solutions for nonlinear Differential equations.[M],
in Chinese, Beijing: Science Press, 2005
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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.
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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.
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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.
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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.
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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.