๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Completed Richardson extrapolation in space and time

โœ Scribed by RICHARDS, SHANE A.


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
127 KB
Volume
13
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

โœฆ Synopsis


The technique of Richardson extrapolation, which has previously been used on time-independent problems, is extended so that it can also be used on time-dependent problems. The technique presented is completed in the sense that the extrapolated solution is calculated at all spatial grid nodes which coincide with nodes of the ยฎnest grid considered. Numerical examples are presented when the technique is applied to the LaxยฑWendro and CrankยฑNicholson ยฎnite dierence schemes which are used to approximate solutions to the convectionยฑdiusion equation. The examples show that extrapolation can be an easy and ecient way in which to produce accurate numerical solutions to time-dependent problems.


๐Ÿ“œ SIMILAR VOLUMES


cover
โœ Healy, Raymond J;McComas, J Francis ๐Ÿ“‚ Fiction ๐Ÿ“… 1946 ๐Ÿ› Del Rey Books ๐ŸŒ English โš– 698 KB ๐Ÿ‘ 3 views
cover
โœ Mary P. Taylor; James Wang ๐Ÿ“‚ Fiction ๐Ÿ“… 1999 ๐Ÿ› Pocket Books ๐ŸŒ English โš– 434 KB ๐Ÿ‘ 3 views

Stardate 1999. To commemorate twenty years of thrilling _Star Trek_ novels, Pocket Books is proud to present a one-of-a-kind tribute volume highlighting the most unforgettable moments from a generation of bold explorations by some of the most imaginative science fiction authors of our time! Selecte

Indexing space and time in film understa
โœ Joseph P. Magliano; Jason Miller; Rolf A. Zwaan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 92 KB ๐Ÿ‘ 1 views
Adaptivity in space and time for shallow
โœ M. Morandi Cecchi; F. Marcuzzi ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 135 KB ๐Ÿ‘ 1 views

In this paper, adaptive algorithms for time and space discretizations are added to an existing solution method previously applied to the Venice Lagoon Tidal Circulation problem. An analysis of the interactions between space and time discretizations adaptation algorithms is presented. In particular,