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Proceedings/Recueil Des Communications Notes on Numerical Fluid Mechanics and Multidisciplinary Design Année : 1993

On a class of large time-step schemes for conservation laws

Résumé

We present some difference approximation schemes which converge to the entropy solution of a scalar conservation law having a convex flux. These methods are derived from approximation schemes for Hamilton-Jacobi-Bellman equations related to optimal control problems and converge to the entropy solution even when the CFL condition is violated. Numerical tests show that the diffusion around the shocks is very limited and the accuracy is high where the solution is regular.'
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hal-04271053 , version 1 (05-11-2023)

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  • HAL Id : hal-04271053 , version 1

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Lucilla Corrias, Maurizio Falcone, Roberto Natalini. On a class of large time-step schemes for conservation laws: Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects Proceedings of the Fourth International Conference on Hyperbolic Problems, Taormina, Italy, April 3 to 8, 1992. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 43, pp.159-170, 1993, 3-528-07643-7. ⟨hal-04271053⟩
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