A critical review of nonlinear damping identification in structural dynamics: Methods, applications, and challenges
In recent decades, nonlinear damping identification (NDI) in structural dynamics has
attracted wide research interests and intensive studies. Different NDI strategies, from …
attracted wide research interests and intensive studies. Different NDI strategies, from …
An efficient dissipation–preserving Legendre–Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe
Since the emergence of numerical methods in mathematical modeling, fundamental
properties such as convergence, efficiency, computational accuracy, and stability have been …
properties such as convergence, efficiency, computational accuracy, and stability have been …
Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation
Y Fu, W Cai, Y Wang - Applied Numerical Mathematics, 2020 - Elsevier
This paper aims to construct structure-preserving numerical schemes for the two-
dimensional space fractional Klein-Gordon-Schrödinger equation, which are based on the …
dimensional space fractional Klein-Gordon-Schrödinger equation, which are based on the …
Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian
D Hu, W Cai, Y Fu, Y Wang - Communications in Nonlinear Science and …, 2021 - Elsevier
In this paper, we construct a dissipation-preserving difference scheme for two-dimensional
nonlinear generalized wave equations with the integral fractional Laplacian. We discuss the …
nonlinear generalized wave equations with the integral fractional Laplacian. We discuss the …
High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach
Y Fu, D Hu, Y Wang - Mathematics and Computers in Simulation, 2021 - Elsevier
In the paper, we aim to develop a class of high-order structure-preserving algorithms, which
are built upon the idea of the newly introduced scalar auxiliary variable approach, for the …
are built upon the idea of the newly introduced scalar auxiliary variable approach, for the …
Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation
J Cai, J Chen - Applied Numerical Mathematics, 2023 - Elsevier
In this paper, we construct two dissipation-preserving prediction-correction schemes for the
damped nonlinear Schrödinger equation. The temporal second-order scheme is implicit, but …
damped nonlinear Schrödinger equation. The temporal second-order scheme is implicit, but …
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation
Y Fu, Z Xu, W Cai, Y Wang - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, we study the Hamiltonian structure and develop a novel energy-preserving
scheme for the two-dimensional fractional nonlinear Schrödinger equation. First, we present …
scheme for the two-dimensional fractional nonlinear Schrödinger equation. First, we present …
[HTML][HTML] Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation
X Li, Y Gong, L Zhang - Applied Mathematics Letters, 2020 - Elsevier
In this letter, we present two novel classes of linear high-order mass-preserving schemes for
the generalized nonlinear Schrödinger equation. The original model is first equivalently …
the generalized nonlinear Schrödinger equation. The original model is first equivalently …
Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation
Y Fu, D Hu, G Zhang - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, we propose a family of high-order conservative schemes based on the
exponential integrators technique and the symplectic Runge-Kutta method for solving the …
exponential integrators technique and the symplectic Runge-Kutta method for solving the …
Experimental investigation of the static and dynamic damping behaviour of antifriction bearings
This paper experimentally investigates the vibration-damping behaviour of four different
antifriction bearings. Both static and dynamic analyses have been employed to study the …
antifriction bearings. Both static and dynamic analyses have been employed to study the …