Actions for Finite-difference approximations and entropy conditions for shocks

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Finite-difference approximations and entropy conditions for shocks

Author
Harten, A.
Published
United States : [publisher not identified], 1976.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1976.
Physical Description
microfiche : negative ; 11 x 15 cm
Additional Creators
Hyman, J. M., Keyfitz, B., and Lax, P. D.

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Summary
Weak solutions of hyperbolic conservation laws are not uniquely determined by their initial values; an entropy condition is needed to pick out the physically relevant solution. The question arises whether finite-difference approximations converge to this particular solution. It is shown in this paper that, in the case of a single conservation law, monotone schemes, when convergent, always converge to the physically relevant solution. Numerical examples show that this is not always the case with nonmonotone schemes, such as the Lax--Wendroff scheme. 4 figures, 2 tables. (auth)
Report Numbers
COO-3077-106; IMM-411
Other Subject(s)
Collection
U.S. Atomic Energy Commission depository collection.
Note
DOE contract number: E(11-1)-3077
OSTI Identifier 7365921
Research organization: New York Univ., N.Y. (USA). Courant Inst. of Mathematical Sciences.
Funding Information
Sponsored by US Energy Research and Development Administration (ERDA).
View MARC record | catkey: 44536420