CONVERGENCE OF THE 2X2 GODUNOV METHOD FOR A GENERAL RESONANT NONLINEAR BALANCE LAW

Authors
ISAACSON E TEMPLE B
Citation
E. Isaacson et B. Temple, CONVERGENCE OF THE 2X2 GODUNOV METHOD FOR A GENERAL RESONANT NONLINEAR BALANCE LAW, SIAM journal on applied mathematics, 55(3), 1995, pp. 625-640
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics → ACNP
ISSN journal
00361399
Volume
55
Issue
3
Year of publication
1995
Pages
625 - 640
Database
ISI
SICI code
0036-1399(1995)55:3<625:COT2GM>2.0.ZU;2-5
Abstract
We introduce a generalized solution of the Riemann problem for a gener al resonant nonlinear balance law, and we prove the convergence of the 2 x 2 Godunov numerical method based on these solutions. In particula r, we obtain generic conditions that guarantee a canonical structure f or the elementary waves in the solution of the Riemann problem, and an interesting multiplicity of time-asymptotic wave patterns is observed and characterized.