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High Order Accurate Modern Numerical Methods Applicable to Stellar Pulsations

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The Numerical Modelling of Nonlinear Stellar Pulsations

Part of the book series: NATO ASI Series ((ASIC,volume 302))

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Abstract

Professor Roe’s beautiful expository article in this volume can be easily read and used by a novice to the field of shock capturing. Our purpose here is to demonstrate that we can go beyond the second order accurate TVD barrier [7] and still suppress spurious numerical oscillations near discontinuities and other steep gradients.

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References

  1. A. Harten, “Preliminary Results on the Extension of ENO Schemes to Two-Dimensional Problems”, in Proceedings of th International Conference on Hyperbolic Problems (Saint-Etienne, January 1986).

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  9. C.-W. Shu and S. Osher, “Efficient Implementation of Essentially Non-Oscillatory Shock Capturing Schemes, II”, to appear, J. Comp. Phys. (1989).

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  10. S. Osher and C.-W. Shu, “ENO Shock Capturing Methods Applied to Turbulence Amplification in Shock Wave Calculations”, UCLA Report (1989).

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  11. H. Yang, Ph.D. Thesis, UCLA Math. Dept., 1988.

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© 1990 Kluwer Academic Publishers

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Osher, S., Shu, CW. (1990). High Order Accurate Modern Numerical Methods Applicable to Stellar Pulsations. In: Buchler, J.R. (eds) The Numerical Modelling of Nonlinear Stellar Pulsations. NATO ASI Series, vol 302. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0519-1_15

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  • DOI: https://doi.org/10.1007/978-94-009-0519-1_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6720-1

  • Online ISBN: 978-94-009-0519-1

  • eBook Packages: Springer Book Archive

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