Localization effects and measure source terms in numerical schemes for balance laws |
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| Authors: | Laurent Gosse. |
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| Affiliation: | Dipartimento di Matematica Pura e Applicata, Università degli Studi di L'Aquila, Via Vetoio, Località Coppito, 67100 L'Aquila, Italy |
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| 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. |
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| Keywords: | Balance laws finite difference schemes nonconservative products relaxation schemes |
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