4 papers
Explicit and CPU/GPU parallel energy-preserving schemes for the Klein-Gordon-Schrödinger equations
Xuelong Gu, Yushun Wang, Ziyu Wu +2
A highly efficient energy-preserving scheme for univariate conservative or dissipative systems was recently proposed in [Comput. Methods Appl. Mech. Engrg. 425 (2024) 116938]. This…
Solution landscape of droplet on rough surfaces: wetting transition and directional transport
Yuze Zhang, Xuelong Gu, Yushun Wang +2
Droplets on rough surfaces can exhibit various stationary states that are crucial for designing hydrophobic materials and enabling directional liquid transport. Here we introduce a…
Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator and convergence analysis
Xuelong Gu, Wenjun Cai, Chaolong Jiang +1
In this paper, we develop a novel class of linear energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator (NLSW), combining the sc…
Efficient energy-preserving exponential integrators for multi-components Hamiltonian systems
X. Gu, C. Jiang, Y. Wang +1
In this paper, we develop a framework to construct energy-preserving methods for multi-components Hamiltonian systems, combining the exponential integrator and the partitioned aver…