𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Further analysis of stability for Lambert's method based on Euler's rule

✍ Scribed by H. Hayashi; T. Mitsui

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
253 KB
Volume
31
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Lambert [1]

proposed a one-step method based on Euler's rule which effectively copes with ordinary differential equations. In the paper, he proved its stability for the equation of the type yr = Ay, where A is a real symmetric matrix. We extend the concept and prove the stability when A is a real normal matrix.

πŸ“œ SIMILAR VOLUMES

General stability of two-dimensional slo
General stability of two-dimensional slopes based on Sarma's method
✍ Jie, M.; Chen, C. Y.; Zhang, J. J. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 146 KB πŸ‘ 1 views

Sarma's method of taking a "ctitious accerelation as a measure of safety is used to study a two-dimensional slope. The slope is divided into arbitrary slices. The relations among forces acting on the slices and Sarma's acceleration are assumed to be linear. Consequently, a general analytical express