High-Order and TVD Schemes for Non-Linear Systems

  • Toro E
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Abstract

In this note we survey some recent results for the Euler equations in compressible and incompressible fluid dynamics. The main point of all these theorems is the surprising fact that a suitable variant of Gromov's h-principle holds in several cases.

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Toro, E. F. (1999). High-Order and TVD Schemes for Non-Linear Systems. In Riemann Solvers and Numerical Methods for Fluid Dynamics (pp. 489–525). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-03915-1_14

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