Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws

1977 ◽  
Vol 30 (6) ◽  
pp. 767-796 ◽  
Author(s):  
Tai-Ping Liu
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Hyperbolic Conservation ◽  
General Systems ◽  
Linear And Nonlinear

LARGE TIME BEHAVIOR OF NUMERICAL SOLUTIONS OF SCALAR CONSERVATION LAWS

2006 ◽  
Vol 03 (04) ◽  
pp. 631-648
Author(s):  
FRÉDÉRIC LAGOUTIÈRE
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Large Time ◽  
Numerical Solutions ◽  
Approximate Solutions ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Hyperbolic Conservation ◽  
Periodic Initial Data ◽  
Scalar Conservation

We study the large time behavior of entropic approximate solutions to one-dimensional, hyperbolic conservation laws with periodic initial data. Under mild assumptions on the numerical scheme, we prove the asymptotic convergence of the discrete solutions to a time- and space-periodic solution.

scholarly journals Large Time Step TVD Schemes for Hyperbolic Conservation Laws

2016 ◽  
Vol 54 (5) ◽  
pp. 2775-2798 ◽  
Author(s):  
Sofia Lindqvist ◽  
Peder Aursand ◽  
Tore Flåtten ◽  
Anders Aase Solberg
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Large Time ◽  
Tvd Schemes ◽  
Time Step ◽  
Hyperbolic Conservation ◽  
Large Time Step
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