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Continuum shock profiles for discrete conservation laws II: Stability

✍ Scribed by Tai-Ping Liu; Shih-Hsien Yu

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
445 KB
Volume
52
Category
Article
ISSN
0010-3640

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✦ Synopsis

We show that the continuum shock profiles for dissipative difference schemes constructed in Part I are nonlinearly stable. It is shown first that the profiles have the conservation property, obtained as the limit of the discrete version for profiles with nearby rational, quasi-Diophantine speeds. This allows us to formulate antidifferencing of the schemes and to apply a generalization of the pointwise approach for viscous conservation laws for the stability analysis.

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