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arXiv · 1906.06081

Higher-order generalized-$\alpha$ methods for hyperbolic problems

Pouria Behnoudfar·Quanling Deng·Victor M. Calo
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Abstract

The generalized-$\alpha$ time-marching method provides second-order accuracy in time and controls the numerical dissipation in the high-frequency region of the discrete spectrum. This method includes a wide range of time integrators. We increase the order of accuracy of the method while keeping the unconditional stability and the user-control on the high-frequency numerical dissipation. The dissipation is controlled by a single parameter as in the original method. Our high-order schemes require simple modifications of the available implementations of the generalized-$\alpha$ method.

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Pouria Behnoudfar, Quanling Deng, Victor M. Calo. 2019-06-14. Higher-order generalized-$\alpha$ methods for hyperbolic problems. https://arxiv.org/abs/1906.06081

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