Ziyuan Liu

发表

Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions

Songhe Song, Xu Qian, Hong Zhang, 2022, ArXiv.

Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation

Ziyuan Liu, Jingye Yan, Hong Zhang, 2020, Appl. Math. Comput..

A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise

Songhe Song, Ziyuan Liu, Jingye Yan, 2019, Appl. Math. Lett..

Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions

Songhe Song, Xu Qian, Hong Zhang, 2022, SIAM Journal on Scientific Computing.

An Operator Learning Approach via Function-valued Reproducing Kernel Hilbert Space for Differential Equations

Songhe Song, Xu Qian, Ziyuan Liu, 2022, 2202.09488.

Function-valued RKHS-based Operator Learning for Differential Equations

Songhe Song, Xu Qian, Haifeng Wang, 2022, ArXiv.

Mass and energy conservative high order diagonally implicit Runge--Kutta schemes for nonlinear Schr\"odinger equation in one and two dimensions

Songhe Song, Xu Qian, Ziyuan Liu, 2019, 1910.13700.

Mass and energy conservative high order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation in one and two dimensions pdf

Ziyuan Liu, Hong Zhang, Songhe Song, 2019, ArXiv.

SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions

Songhe Song, Xu Qian, Ziyuan Liu, 2023, ArXiv.