Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems

Aregba-Driollet, D.; Natalini, R.; Tang, S.

doi:10.1090/S0025-5718-03-01549-7

Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems
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by D. Aregba-Driollet, R. Natalini and S. Tang PDF

Math. Comp. 73 (2004), 63-94 Request permission

Abstract:

We design numerical schemes for nonlinear degenerate parabolic systems with possibly dominant convection. These schemes are based on discrete BGK models where both characteristic velocities and the source-term depend singularly on the relaxation parameter. General stability conditions are derived, and convergence is proved to the entropy solutions for scalar equations.

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