Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Chuanmiao Chen"'
Autor:
Chuanmiao Chen
Publikováno v:
Advances in Pure Mathematics. 12:374-391
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67c370dbc433ba3f6b0652b8d5fbe5a9
https://doi.org/10.4236/apm.2022.125028
https://doi.org/10.4236/apm.2022.125028
Autor:
Chuanmiao Chen
Publikováno v:
Advances in Pure Mathematics. 11:334-345
This paper proves Riemann conjecture (RH), i.e., that all the zeros in critical region of Riemann ξ -function lie on symmetric line σ =1/2 . Its proof is based on two important properties: the symmetry and alternative oscillation for ξ = u + iv .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48a83c051615a2787d9fa398b45ae2c5
https://doi.org/10.4236/apm.2021.114021
https://doi.org/10.4236/apm.2021.114021
Autor:
Chuanmiao Chen
Publikováno v:
Advances in Pure Mathematics. 10:464-470
To prove RH, studying ζ and using pure analysis method likely are two kinds of the incorrect guide. Actually, a unique hope may study Riemann function by geometric analysis, which has the symmetry: v = 0 if β = 0, and Assume that |u| is single peak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66f658355a5048c9bc47bbd91c756ad9
https://doi.org/10.4236/apm.2020.108028
https://doi.org/10.4236/apm.2020.108028
Autor:
Chuanmiao Chen
Publikováno v:
Advances in Pure Mathematics. 10:589-610
Riemann hypothesis (RH) is a difficult problem. So far one doesn’t know how to go about it. Studying ζ and using analysis method likely are two incor-rect guides. Actually, a unique hope may study Riemann function , , by geometric analysis, which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b760b3a3dd8f460531b866dc2ae29c5
https://doi.org/10.4236/apm.2020.1010036
https://doi.org/10.4236/apm.2020.1010036
Publikováno v:
In Acta Mathematica Scientia July 2009 29(4):803-816
Autor:
CHUANMIAO CHEN1 jingyang@hunau.edu.cn, JING YANG2 cmchen@hunnu.edu.cn
Publikováno v:
International Journal of Numerical Analysis & Modeling. 2018, Vol. 15 Issue 1-2, p102-110. 9p.
Publikováno v:
Calcolo. 58
In this study, we discuss the superconvergence of the space-time discontinuous Galerkin method for the first-order linear nonhomogeneous hyperbolic equation. By using the local differential projection method to construct comparison function, we prove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf5babbe92e01595c61c9a63e51680cf
https://doi.org/10.1007/s10092-021-00408-7
https://doi.org/10.1007/s10092-021-00408-7
Publikováno v:
Advances in Applied Mathematics and Mechanics. 9:1347-1363
This paper proposes an extrapolation cascadic multigrid (EXCMG) method to solve elliptic problems in domains with reentrant corners. On a class of λ-graded meshes, we derive some new extrapolation formulas to construct a high-order approximation to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f505f99ca3da90cb1aacc5c967fd5584
https://doi.org/10.4208/aamm.oa-2016-0019
https://doi.org/10.4208/aamm.oa-2016-0019
Autor:
Chuanmiao Chen, Xiangqi Wang
Publikováno v:
Applied Mathematics Letters. 64:162-169
In this letter, we propose a fast matrix time-extrapolation algorithm to solve semilinear parabolic problems of Crank–Nicolson-based finite element scheme, which employs exact matrix values computed by integral at time levels m , m + p , m + 2 p to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7514abcfeb0f9b629a8736a140610c2d
https://doi.org/10.1016/j.aml.2016.09.003
https://doi.org/10.1016/j.aml.2016.09.003
Publikováno v:
Advances in Applied Mathematics and Mechanics. 9:501-514
A high-efficient algorithm to solve Crank-Nicolson scheme for variable coefficient parabolic problems is studied in this paper, which consists of the Function Time-Extrapolation Algorithm (FTEA) and Matrix Time-Extrapolation Algorithm (MTEA). First,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac88ba26b3eb5dd92f1c659f232651bc
https://doi.org/10.4208/aamm.2015.m1281
https://doi.org/10.4208/aamm.2015.m1281