3 AND 4 STEP LEAST-SQUARES FINITE-ELEMENT SCHEMES IN THE TIME-DOMAIN

Authors
SINGH KM KALRA MS
Citation
Km. Singh et Ms. Kalra, 3 AND 4 STEP LEAST-SQUARES FINITE-ELEMENT SCHEMES IN THE TIME-DOMAIN, Communications in numerical methods in engineering, 12(7), 1996, pp. 425-431
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
12
Issue
7
Year of publication
1996
Pages
425 - 431
Database
ISI
SICI code
1069-8299(1996)12:7<425:3A4SLF>2.0.ZU;2-X
Abstract
The paper presents a formulation and analysis of three and four step l east squares algorithms for first order IVPs. The three step algorithm is derived using cubic Lagrangian interpolation, and is found to be t hird order accurate but only conditionally stable. Fourth order Lagran gian interpolation is used to obtain a four step least squares scheme which is A(0)-stable but inconsistent.