Localization Effects and Measure Source Terms in Numerical Schemes for
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.
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- Laurent Gosse,
- Publishing information:
- to appear in Math. Comp.
- Submitted by:
May 8 2001.
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