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• W2912172741 abstract "The generalized-$alpha$ method encompasses a wide range of time integrators. The method possesses high-frequency dissipation while minimizing unwanted low-frequency dissipation and the numerical dissipation can be controlled by the user. The method is unconditionally stable and is of second-order accuracy in time. We extend the second-order generalized-$alpha$ method to third-order in time while the numerical dissipation can be controlled in a similar fashion. We establish that the third-order method is unconditionally stable. We discuss a possible path to the generalization to higher order schemes. All these high-order schemes can be easily implemented into programs that already contain the second-order generalized-$alpha$ method." @default.
• W2912172741 created "2019-02-21" @default.
• W2912172741 creator A5024876563 @default.
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• W2912172741 creator A5091728887 @default.
• W2912172741 date "2019-02-14" @default.
• W2912172741 modified "2023-09-27" @default.
• W2912172741 title "High-order generalized-$alpha$ methods" @default.
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• W2912172741 hasPublicationYear "2019" @default.
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