Songhe Song - RankMe

52 papers Journal 52

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A novel energy-preserving relaxation extended Runge-Kutta Nyström framework for oscillatory Hamiltonian systems. Math. Comput. Simul. Ting Fu, Xu Qian, Songhe Song, Hong Zhang
2026	J	`jnl`	High-order dissipation-preserving schemes for the generalized Schrödinger-damped Boussinesq equations. J. Appl. Math. Comput. Yulian Yi, Hong Zhang, Mingfa Fei, Songhe Song
2025	J	`jnl`	A nonlinear immersed boundary method for weighted compact nonlinear schemes. Appl. Math. Comput. Tianchu Hao, Yaming Chen, Lingyan Tang, Songhe Song
2025	J	`jnl`	High-order Runge-Kutta type large time-stepping schemes for the compressible Euler equations. Appl. Math. Lett. Lele Liu, Songhe Song
2025	J	`jnl`	High-order energy-preserving methods for the coupled Klein-Gordon-Schrödinger equations with fractional Laplacian. Comput. Appl. Math. Yulian Yi, Mingfa Fei, Hong Zhang, Songhe Song
2025	J	`jnl`	Linearly implicit and large time-stepping conservative exponential relaxation schemes for the nonlocal cubic Gross-Pitaevskii equation. Adv. Comput. Math. Yayun Fu, Xu Qian, Songhe Song, Dongdong Hu
2025	J	`jnl`	On the Convergence and Energy Stability Analysis for a Second-Order Scheme of the Swift-Hohenberg Equation. J. Sci. Comput. Jingwei Sun, Haifeng Wang, Hong Zhang, Xu Qian, Songhe Song
2024	J	`jnl`	An exponential-free Runge-Kutta framework for developing third-order unconditionally energy stable schemes for the Cahn-Hilliard equation. CoRR Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
2024	J	`jnl`	Efficient diffusion domain modeling and fast numerical methods for diblock copolymer melt in complex domains. Comput. Phys. Commun. Yan Wang, Xufeng Xiao, Hong Zhang, Xu Qian, Songhe Song
2024	J	`jnl`	Global-in-time energy stability: a powerful analysis tool for the gradient flow problem without maximum principle or Lipschitz assumption. CoRR Jingwei Sun, Haifeng Wang, Hong Zhang, Xu Qian, Songhe Song
2024	J	`jnl`	High-order, large time-stepping integrators for scalar hyperbolic conservation laws. Commun. Nonlinear Sci. Numer. Simul. Lele Liu, Hong Zhang, Xu Qian, Songhe Song
2024	J	`jnl`	Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation. J. Comput. Phys. Hong Zhang, Lele Liu, Xu Qian, Songhe Song
2024	J	`jnl`	Mass and energy conservative high-order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation. Appl. Math. Lett. Ziyuan Liu, Hong Zhang, Xu Qian, Songhe Song
2024	J	`jnl`	On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. Adv. Comput. Math. Hong Zhang, Gengen Zhang, Ziyuan Liu, Xu Qian, Songhe Song
2024	J	`jnl`	Render unto Numerics: Orthogonal Polynomial Neural Operator for PDEs with Nonperiodic Boundary Conditions. SIAM J. Sci. Comput. Ziyuan Liu, Haifeng Wang, Hong Zhang, Kaijun Bao, Xu Qian, Songhe Song
2024	J	`jnl`	Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation. Numer. Algorithms Hong Zhang, Xu Qian, Songhe Song
2023	J	`jnl`	A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. J. Comput. Phys. Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
2023	J	`jnl`	A high-order compact difference scheme on graded mesh for time-fractional Burgers' equation. Comput. Appl. Math. Haifeng Wang, Yabing Sun, Xu Qian, Songhe Song
2023	J	`jnl`	A third-order weighted nonlinear scheme for hyperbolic conservation laws with inverse Lax-Wendroff boundary treatment. Appl. Math. Comput. Tianchu Hao, Yaming Chen, Lingyan Tang, Songhe Song
2023	J	`jnl`	SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions. CoRR Ziyuan Liu, Yuhang Wu, Daniel Zhengyu Huang, Hong Zhang, Xu Qian, Songhe Song
2023	J	`jnl`	Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation. Numer. Algorithms Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
2022	J	`jnl`	A well-balanced weighted compact nonlinear scheme for shallow water equations on curvilinear grids. J. Comput. Phys. Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song
2022	J	`jnl`	Arbitrary high-order structure-preserving schemes for the generalized Rosenau-type equation. CoRR Chaolong Jiang, Xu Qian, Songhe Song, Chenxuan Zheng
2022	J	`jnl`	Correction to: Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. J. Sci. Comput. Hong Zhang, Jingye Yan, Xu Qian, Xiaowei Chen, Songhe Song
2022	J	`jnl`	Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. J. Sci. Comput. Hong Zhang, Jingye Yan, Xu Qian, Xiaowei Chen, Songhe Song
2022	J	`jnl`	Function-valued RKHS-based Operator Learning for Differential Equations. CoRR Kaijun Bao, Xu Qian, Ziyuan Liu, Haifeng Wang, Songhe Song
2022	J	`jnl`	High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation. J. Sci. Comput. Chaolong Jiang, Jin Cui, Xu Qian, Songhe Song
2022	J	`jnl`	Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods. J. Comput. Appl. Math. Xiaoqiang Yan, Xu Qian, Hong Zhang, Songhe Song
2022	J	`jnl`	Positivity-Preserving and Well-Balanced Adaptive Surface Reconstruction Schemes for Shallow Water Equations with Wet-Dry Fronts. J. Sci. Comput. Xu Qian, Jian Dong, Songhe Song
2022	J	`jnl`	Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions. CoRR Ziyuan Liu, Haifeng Wang, Kaijun Bao, Xu Qian, Hong Zhang, Songhe Song
2021	J	`jnl`	Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation. CoRR Chaolong Jiang, Xu Qian, Songhe Song, Jin Cui
2021	J	`jnl`	High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation. CoRR Chaolong Jiang, Jin Cui, Xu Qian, Songhe Song
2021	J	`jnl`	On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation. Numer. Algorithms Hong Zhang, Jingye Yan, Xu Qian, Xianming Gu, Songhe Song
2021	J	`jnl`	Two regularized energy-preserving finite difference methods for the logarithmic Klein-Gordon equation. J. Comput. Appl. Math. Jingye Yan, Xu Qian, Hong Zhang, Songhe Song
2020	J	`jnl`	Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations. J. Comput. Phys. Hong Zhang, Xu Qian, Jingye Yan, Songhe Song
2020	J	`jnl`	Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs. Appl. Math. Lett. Hong Zhang, Xu Qian, Songhe Song
2020	J	`jnl`	Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise. J. Comput. Phys. Mingzhan Song, Xu Qian, Tianlong Shen, Songhe Song
2020	J	`jnl`	Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation. Appl. Math. Comput. Jingye Yan, Hong Zhang, Ziyuan Liu, Songhe Song
2019	J	`jnl`	A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise. Appl. Math. Lett. Ziyuan Liu, Hong Zhang, Jingye Yan, Songhe Song
2019	J	`jnl`	Mass and energy conservative high order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation in one and two dimensions. CoRR Ziyuan Liu, Hong Zhang, Xu Qian, Songhe Song
2018	J	`jnl`	Analysis of the damped nonlinear space-fractional Schrödinger equation. Appl. Math. Comput. Jiarui Liang, Songhe Song, Weien Zhou, Hao Fu
2017	J	`jnl`	Conservative modified Crank-Nicolson and time-splitting wavelet methods for modeling Bose-Einstein condensates in delta potentials. Appl. Math. Comput. Xu Qian, Hao Fu, Songhe Song
2017	J	`jnl`	Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. J. Comput. Appl. Math. Weien Zhou, Jingjing Zhang, Jialin Hong, Songhe Song
2014	J	`jnl`	A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation. Comput. Phys. Commun. Xu Qian, Songhe Song, Yaming Chen
2012	J	`jnl`	Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral. J. Appl. Math. Er Gao, Songhe Song, Xinjian Zhang
2012	J	`jnl`	Multi-symplectic methods for the Ito-type coupled KdV equation. Appl. Math. Comput. Yaming Chen, Songhe Song, Huajun Zhu
2011	J	`jnl`	Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation. Comput. Phys. Commun. Huajun Zhu, Songhe Song, Yifa Tang
2011	J	`jnl`	The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs. J. Comput. Appl. Math. Yaming Chen, Songhe Song, Huajun Zhu
2010	J	`jnl`	Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation. Comput. Phys. Commun. Yaming Chen, Huajun Zhu, Songhe Song
2010	J	`jnl`	Symplectic wavelet collocation method for Hamiltonian wave equations. J. Comput. Phys. Huajun Zhu, Lingyan Tang, Songhe Song, Yifa Tang, Desheng Wang
2009	J	`jnl`	Adaptive variational curve smoothing based on level set method. J. Comput. Phys. Yu Wang, Songhe Song, Zhijun Tan, Desheng Wang
2002	J	`jnl`	Third Order Accurate Large-Particle Finite Volume Method on Unstructured Triangular Meshes. SIAM J. Sci. Comput. Songhe Song, Mao-Zhang Chen