scholarly journals A Comparison of Convergence Rates for Godunov’s Method and Glimm’s Method in Resonant Nonlinear Systems of Conservation Laws

1995 ◽  
Vol 32 (3) ◽  
pp. 824-840 ◽  
Author(s):  
L. Lin ◽  
J. B. Temple ◽  
J. Wang
Keyword(s):  
Nonlinear Systems ◽  
Conservation Laws ◽  
Convergence Rates ◽  
Godunov’S Method ◽  
Systems Of Conservation Laws ◽  
Godunov′S Method

Generalised characteristics in hyperbolic systems of conservation laws with special coupling

1990 ◽  
Vol 116 (3-4) ◽  
pp. 245-278 ◽  
Author(s):  
C. M. Dafermos ◽  
X. Geng
Keyword(s):  
Nonlinear Systems ◽  
Conservation Laws ◽  
Rarefaction Wave ◽  
Hyperbolic Systems ◽  
A Priori ◽  
Systems Of Conservation Laws ◽  
Straight Lines

SynopsisUsing the theory of generalised characteristics, we study the structure of BV solutions of genuinely nonlinear systems of two conservation laws whose shock and rarefaction wave curves of the first family are straight lines. We also establish a priori estimates on the variation of the solution similar to those obtained earlier by Glimm and Lax.

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