Preprint 1996-008

A Discrete Approximation for Hyperbolic Systems with Quadratic Interaction Term

Roberto Natalini and Bruno Rubino

Abstract: We investigate the stability and the convergence of a discrete implicit approximation to a class of hyperbolic semilinear kinetic systems in the one-dimensional case. In particular the uniform boundedness and the convergence of this approximation is proved under some suitable assumptions, which include Broadwell model for arbitrary large data.

Paper:
Available as PostScript
Title:
A Discrete Approximation for Hyperbolic Systems with Quadratic Interaction Term
Author(s):
Roberto Natalini, mailto:natalini@asterix.iac.rm.cnr.it
Bruno Rubino,mailto:rubino@smaq20.univaq.itkinnum.ps
Publishing information:
Comm. Appl. Nonlinear Anal. 3, 1996,1--21.
Submitted by: <natalini@asterix.iac.rm.cnr.it> July 2 1996.


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