𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic error expansions for numerical solutions of one-dimensional problems with singularities

✍ Scribed by Wiemin Han

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
594 KB
Volume
15
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

A systematic analysis is given on asymptotic error expansions for numerical solutions of one-dimensional problems whose solutions are singular. Numerical examples show a great improvement on the accuracy of numerical solutions by using the Richardson extrapolation technique.

πŸ“œ SIMILAR VOLUMES

Numerical methods and error analysis for
Numerical methods and error analysis for one dimensional elliptic problems containing singularities
✍ Hoonjoo Kim; Sung-Jin Lee; Hae-Soo Oh πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 189 KB

## Abstract The method of auxiliary mapping (MAM), introduced by BabuΕ‘ka and Oh, was proven to be very successful in dealing with monotone singularities arising in two‐dimensional problems. In this article, in the framework of the __p__‐version of FEM, MAM is presented for one‐dimensional elliptic