廖
廖世俊
Researcher at Shanghai Jiao Tong University
Publications - 2
Citations - 190
廖世俊 is an academic researcher from Shanghai Jiao Tong University. The author has contributed to research in topics: Homotopy analysis method & Radius of convergence. The author has an hindex of 2, co-authored 2 publications receiving 168 citations.
Papers
More filters
Journal ArticleDOI
Homotopy analysis method: a new analytic method for nonlinear problems
TL;DR: In this paper, the basic ideas of a new analytic technique, namely the Homotopy Analysis Method (HAM), are described, and the validity of the HAM is independent on whether or not there exist small parameters in considered nonlinear equations.
Journal ArticleDOI
On a generalized taylor theorem: a rational proof of the validity of the homotopy analysis method
廖世俊,Liao Shijun +1 more
TL;DR: A generalized Taylor series of a complex function was derived and related theorems about its convergence region were given in this paper, which can he applied to greatly enlarge convergence regions of approximation series given by other traditional techniques.