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Dispersion analysis for difference schemes: tables of generalized Airy functions

Journal Article · · Math. Comput.; (United States)
This papers contains graphs and tables of the function /sup Ai/p,q(/sup alpha,x/) =..integral../sup infinity/: infinity (2..pi..)/sup -1/ exp)y/sup p//p-..cap alpha..y/sup q//q+ixy)dy and its indefinite integral for p=3,5,7, for q=2,4,6, and for several values of ..cap alpha.. with ..cap alpha..> or =0. It is shown how these tables should influence the choice of an artifical viscosity for a difference scheme for a linear hyperbolic equation.
Research Organization:
U. S. Energy Research and Development Administration
OSTI ID:
6770467
Journal Information:
Math. Comput.; (United States), Journal Name: Math. Comput.; (United States) Vol. 32:1144; ISSN MCMPA
Country of Publication:
United States
Language:
English

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