2003-2020 全部

2008-10-28

2011-05-05

#计算机科学技术#

LI Shengfeng,TAN Jieqing,XIE Jin,DONG Yi

In this paper, we present a new one-step iterative method based on Thiele's continued fraction for solving non-linear equations. By applying the truncated Thiele's continued fraction twice, the iterative method is obtained. Analysis of convergence shows that the new method is fourth-order convergent. Numerical tests verifying the theory are given and based on the method, a new one-step iteration is developed.

2010-12-24

the Foundation of Education Department of Anhui Province （No. KJ2010A237

NSFC （ No. 2010SQRL118)

the Doctoral Program Foundation of Ministry of Education of China （Nos. 6077304

Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, Department of Mathematics and Physics, Bengbu College, Bengbu 233030,Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009,Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009

2020-02-19

ZHANG Weinian

Since many results on existence of continuous iterative roots were obtained, stability of iterative roots becomes an important subject in order to compute iterative roots numerically. This paper discusses on continuous stability and continuously differentiable stability of monotone iterative roots, showing results of the Hyers-Ulam stability, results of approximation which actually give continuous stability, and a comparison between local continuously differentiable stablility and global continuously differentiable unstability for iterative roots.

2012-01-11

SRFDP（No. 200806100002

Department of Mathematics, Sichuan University, ChengDu 610064

2009-02-27

#数学#

2009-12-29

2017-08-10

#数学#

Zhi Cao

Applying a formula of the multivariate \$f\$-Box splines, some recurrence formulae for the so-called box integrals are obtained. They are used to deduce some \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\

2008-03-11

School of Sciences, Tianjin Polytechnic University

2009-09-03

#数学#