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Unsymmetric hyperbolic systems and the Euler equations at low Mach numbers

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Abstract

Hyperbolic first order systems with a high degree of unsymmetry are ill conditioned for numerical computation. The principles for symmetrization are discussed and applied to the Euler equations at low Mach numbers. A new class of implicit one-step methods is introduced.

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Gustafsson, B. Unsymmetric hyperbolic systems and the Euler equations at low Mach numbers. J Sci Comput 2, 123–136 (1987). https://doi.org/10.1007/BF01061482

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