default search action
Songhe Song
Person information
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
2020 – today
- 2024
- [j36]Hong Zhang
, Gengen Zhang, Ziyuan Liu, Xu Qian, Songhe Song:
On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. Adv. Comput. Math. 50(3): 41 (2024) - [j35]Ziyuan Liu, Hong Zhang
Mass and energy conservative high-order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation. Appl. Math. Lett. 153: 109055 (2024) - [j34]Lele Liu, Hong Zhang, Xu Qian, Songhe Song:
High-order, large time-stepping integrators for scalar hyperbolic conservation laws. Commun. Nonlinear Sci. Numer. Simul. 131: 107806 (2024) - [j33]Yan Wang, Xufeng Xiao, Hong Zhang
Efficient diffusion domain modeling and fast numerical methods for diblock copolymer melt in complex domains. Comput. Phys. Commun. 305: 109343 (2024) - [j32]Hong Zhang, Lele Liu, Xu Qian, Songhe Song:
Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation. J. Comput. Phys. 499: 112708 (2024) - [j31]Hong Zhang, Xu Qian, Songhe Song:
Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation. Numer. Algorithms 95(3): 1213-1250 (2024) - [j30]Ziyuan Liu
Render unto Numerics: Orthogonal Polynomial Neural Operator for PDEs with Nonperiodic Boundary Conditions. SIAM J. Sci. Comput. 46(4): 323- (2024) - [i8]Jingwei Sun, Haifeng Wang, Hong Zhang, Xu Qian, Songhe Song:
Global-in-time energy stability: a powerful analysis tool for the gradient flow problem without maximum principle or Lipschitz assumption. CoRR abs/2406.07941 (2024) - 2023
- [j29]Tianchu Hao, Yaming Chen
A third-order weighted nonlinear scheme for hyperbolic conservation laws with inverse Lax-Wendroff boundary treatment. Appl. Math. Comput. 441: 127697 (2023) - [j28]Haifeng Wang
A high-order compact difference scheme on graded mesh for time-fractional Burgers' equation. Comput. Appl. Math. 42(1) (2023) - [j27]Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song:
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. J. Comput. Phys. 492: 112414 (2023) - [j26]Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song:
Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation. Numer. Algorithms 92(2): 1041-1062 (2023) - [i7]Ziyuan Liu, Yuhang Wu, Daniel Zhengyu Huang, Hong Zhang, Xu Qian, Songhe Song:
SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions. CoRR abs/2312.06980 (2023) - 2022
- [j25]Xiaoqiang Yan
Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods. J. Comput. Appl. Math. 404: 113867 (2022) - [j24]Mingyang Cheng, Lingyan Tang
A well-balanced weighted compact nonlinear scheme for shallow water equations on curvilinear grids. J. Comput. Phys. 463: 111250 (2022) - [j23]Hong Zhang, Jingye Yan, Xu Qian, Xiaowei Chen, Songhe Song:
Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. J. Sci. Comput. 90(1): 8 (2022) - [j22]Chaolong Jiang, Jin Cui, Xu Qian, Songhe Song:
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation. J. Sci. Comput. 90(1): 66 (2022) - [j21]Hong Zhang, Jingye Yan, Xu Qian, Xiaowei Chen, Songhe Song:
Correction to: Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. J. Sci. Comput. 91(1): 13 (2022) - [j20]Xu Qian, Jian Dong
Positivity-Preserving and Well-Balanced Adaptive Surface Reconstruction Schemes for Shallow Water Equations with Wet-Dry Fronts. J. Sci. Comput. 92(3): 111 (2022) - [i6]Kaijun Bao, Xu Qian, Ziyuan Liu, Haifeng Wang, Songhe Song:
Function-valued RKHS-based Operator Learning for Differential Equations. CoRR abs/2202.09488 (2022) - [i5]Chaolong Jiang, Xu Qian, Songhe Song, Chenxuan Zheng:
Arbitrary high-order structure-preserving schemes for the generalized Rosenau-type equation. CoRR abs/2205.10241 (2022) - [i4]Ziyuan Liu, Haifeng Wang, Kaijun Bao, Xu Qian, Hong Zhang, Songhe Song:
Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions. CoRR abs/2206.12698 (2022) - 2021
- [j19]Jingye Yan, Xu Qian, Hong Zhang, Songhe Song:
Two regularized energy-preserving finite difference methods for the logarithmic Klein-Gordon equation. J. Comput. Appl. Math. 393: 113478 (2021) - [j18]Hong Zhang, Jingye Yan, Xu Qian, Xianming Gu, Songhe Song:
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 88(3): 1309-1336 (2021) - [i3]Chaolong Jiang, Jin Cui, Xu Qian, Songhe Song:
High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation. CoRR abs/2103.00390 (2021) - [i2]Chaolong Jiang, Xu Qian, Songhe Song, Jin Cui:
Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation. CoRR abs/2105.03930 (2021) - 2020
- [j17]Jingye Yan, Hong Zhang, Ziyuan Liu
Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation. Appl. Math. Comput. 367 (2020) - [j16]Hong Zhang
Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs. Appl. Math. Lett. 102: 106091 (2020) - [j15]Mingzhan Song, Xu Qian, Tianlong Shen, Songhe Song:
Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise. J. Comput. Phys. 411: 109300 (2020) - [j14]Hong Zhang, Xu Qian, Jingye Yan, Songhe Song:
Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations. J. Comput. Phys. 418: 109598 (2020)
2010 – 2019
- 2019
- [j13]Ziyuan Liu
A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise. Appl. Math. Lett. 98: 419-426 (2019) - [i1]Ziyuan Liu, Hong Zhang, Xu Qian, Songhe Song:
Mass and energy conservative high order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation in one and two dimensions. CoRR abs/1910.13700 (2019) - 2018
- [j12]Jiarui Liang, Songhe Song, Weien Zhou, Hao Fu:
Analysis of the damped nonlinear space-fractional Schrödinger equation. Appl. Math. Comput. 320: 495-511 (2018) - 2017
- [j11]Xu Qian, Hao Fu, Songhe Song:
Conservative modified Crank-Nicolson and time-splitting wavelet methods for modeling Bose-Einstein condensates in delta potentials. Appl. Math. Comput. 307: 1-16 (2017) - [j10]Weien Zhou
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise. J. Comput. Appl. Math. 325: 134-148 (2017) - 2014
- [j9]Xu Qian, Songhe Song, Yaming Chen
A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation. Comput. Phys. Commun. 185(4): 1255-1264 (2014) - 2012
- [j8]Yaming Chen
Multi-symplectic methods for the Ito-type coupled KdV equation. Appl. Math. Comput. 218(9): 5552-5561 (2012) - [j7]Er Gao, Songhe Song, Xinjian Zhang:
Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral. J. Appl. Math. 2012: 175292:1-175292:13 (2012) - 2011
- [j6]Huajun Zhu, Songhe Song, Yifa Tang:
Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation. Comput. Phys. Commun. 182(3): 616-627 (2011) - [j5]Yaming Chen
The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs. J. Comput. Appl. Math. 236(6): 1354-1369 (2011) - 2010
- [j4]Yaming Chen
Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation. Comput. Phys. Commun. 181(7): 1231-1241 (2010) - [j3]Huajun Zhu, Lingyan Tang, Songhe Song, Yifa Tang, Desheng Wang:
Symplectic wavelet collocation method for Hamiltonian wave equations. J. Comput. Phys. 229(7): 2550-2572 (2010)
2000 – 2009
- 2009
- [j2]Yu Wang, Songhe Song, Zhijun Tan, Desheng Wang:
Adaptive variational curve smoothing based on level set method. J. Comput. Phys. 228(17): 6333-6348 (2009) - 2002
- [j1]Songhe Song, Mao-Zhang Chen:
Third Order Accurate Large-Particle Finite Volume Method on Unstructured Triangular Meshes. SIAM J. Sci. Comput. 23(5): 1456-1463 (2002)
Coauthor Index
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from ,
, and
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and
to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from .
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-09-10 01:15 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint
dblp was originally created in 1993 at:
since 2018, dblp has been operated and maintained by:
the dblp computer science bibliography is funded and supported by: