Higher-order generalized-$\alpha$ methods for hyperbolic problems
Numerical Analysis
2019-06-17 v1 Numerical Analysis
Abstract
The generalized- 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- method.
Cite
@article{arxiv.1906.06081,
title = {Higher-order generalized-$\alpha$ methods for hyperbolic problems},
author = {Pouria Behnoudfar and Quanling Deng and Victor M. Calo},
journal= {arXiv preprint arXiv:1906.06081},
year = {2019}
}