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uniformly high-order accurate non-oscillatory schemes, 1The construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws was begun. These schemes share many desirable properties with total variation diminishing schemes (TVD), but TVD schemes have at most first order accuracy, in the sense of truncation error, at extreme of the solution. A uniformly second order approximation was constucted, which is nonoscillatory in the sense that the number of extrema of the discrete solution is not increasing in time. This is achieved via a nonoscillatory piecewise linear reconstruction of the solution from its cell averages, time evolution through an approximate solution of the resulting initial value problem, and averaging of this approximate solution over each cell.
Document ID
19850019278
Document Type
Contractor Report (CR)
Authors
Harten, A.
(Tel-Aviv Univ. Ramat-Aviv, Tel-Aviv, Israel)
Osher, S.
(Tel-Aviv Univ. Ramat-Aviv, Tel-Aviv, Israel)
Date Acquired
September 5, 2013
Publication Date
June 10, 1985
Subject Category
NUMERICAL ANALYSIS
Report/Patent Number
NASA-CR-175768
NAS 1.26:175768
Funding Number(s)
CONTRACT_GRANT: DAAG29-80-C-0041
CONTRACT_GRANT: NAG1-506
CONTRACT_GRANT: NCA2-IR390-403
CONTRACT_GRANT: NAG1-270
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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NameType 19850019278.pdf STI