no code implementations • 24 Dec 2020 • Yu-Wen Li, Xinyuan Wu
In the last few decades, numerical simulation for nonlinear oscillators has received a great deal of attention, and many researchers have been concerned with the design and analysis of numerical methods for solving oscillatory problems.
Numerical Analysis Numerical Analysis 65L05, 65L06, 65L60, 65P10
no code implementations • 24 Dec 2020 • Yu-Wen Li, Xinyuan Wu
In this paper, combining the ideas of exponential integrators and discrete gradients, we propose and analyze a new structure-preserving exponential scheme for the conservative or dissipative system $\dot{y} = Q(M y + \nabla U (y))$, where $Q$ is a $d\times d$ skew-symmetric or negative semidefinite real matrix, $M$ is a $d\times d$ symmetric real matrix, and $U : \mathbb{R}^d\rightarrow\mathbb{R}$ is a differentiable function.
Numerical Analysis Numerical Analysis 65L04, 65L05, 65M20, 65P10, 65Z05
no code implementations • 8 Dec 2020 • Jing Zhang, Yunfeng He, Yu-Wen Li, Chao-Kai Wen, Shi Jin
An unfolded turbo decoding module, called TurboNet, is used for channel decoding.