Abstract
This paper investigates the behavior of numerical schemes for nonlinear
conservation laws with source terms.
We concentrate on two significant examples: relaxation approximations
and genuinely nonhomogeneous scalar laws. The main tool in our analysis
is
the extensive use of weak limits and nonconservative products which allow
us to describe accurately the operations achieved in practice when using
Riemann-based numerical schemes. Some illustrative and relevant
computational
results are provided.
Anno
2002
Autori IAC
Tipo pubblicazione
Altri Autori
Gosse L.
Editore
National Academy of Sciences-National Research Council,
Rivista
Mathematics of computation