The generalization of diagonally implicit Runge–Kutta–Nyström method with controllable numerical dissipation for structural dynamics

Wang, Yazhou; Xue, Xiaodai; Wang, Tao; Xie, Ningning; Jia, Hongjin; Hu, Zhubing; Tamma, Kumar

doi:10.1007/s11071-023-09065-7

Nonlinear Dyn

2023

DOI: 10.1007/s11071-023-09065-7

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The generalization of diagonally implicit Runge–Kutta–Nyström method with controllable numerical dissipation for structural dynamics

Yazhou Wang,

Xiaodai Xue,

Tao Wang

et al.

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2024

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Cited by 3 publications

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A critical review/look at “Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: Accuracy analysis based on an analytical framework”

Tamma,

Wang,

Maxam

2024

Computer Methods in Applied Mechanics and Engineering

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A critical review/look at “Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: Accuracy analysis based on an analytical framework”

Tamma,

Wang,

Maxam

2024

Computer Methods in Applied Mechanics and Engineering

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Algebraically stable SDIRK methods with controllable numerical dissipation for first/second-order time-dependent problems

Wang,

Xue,

Tamma

et al. 2024

Journal of Computational Physics

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New efficient four-stage implicit trigonometrically fitted modified RKN for second-order ODEs

Chen,

Zhao,

Zhai

2024

Journal of Computational Science

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The generalization of diagonally implicit Runge–Kutta–Nyström method with controllable numerical dissipation for structural dynamics

Cited by 3 publications

References 39 publications

A critical review/look at “Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: Accuracy analysis based on an analytical framework”

A critical review/look at “Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: Accuracy analysis based on an analytical framework”

Algebraically stable SDIRK methods with controllable numerical dissipation for first/second-order time-dependent problems

New efficient four-stage implicit trigonometrically fitted modified RKN for second-order ODEs

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