Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


Convergence of upwind schemes for a stationary shock

Author: Jens Lorenz
Journal: Math. Comp. 46 (1986), 45-57
MSC: Primary 65M10; Secondary 76-08, 76L05
MathSciNet review: 815830
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A nonlinear first-order boundary value problem with discontinuous solutions is considered. It arises in the study of gasflow through a duct and allows, in general, for multiple solutions. New convergence results for three difference schemes are presented and the sharpness of numerical layers is established. For the EO-scheme, stability of a physically correct solution with respect to time evolution is shown.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65M10, 76-08, 76L05

Retrieve articles in all journals with MSC: 65M10, 76-08, 76L05

Additional Information

PII: S 0025-5718(1986)0815830-2
Article copyright: © Copyright 1986 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia