Songhe Song
According to our database1,
Songhe Song
authored at least 38 papers
between 2002 and 2024.
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Bibliography
2024
Commun. Nonlinear Sci. Numer. Simul., April, 2024
Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation.
Numer. Algorithms, March, 2024
Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation.
J. Comput. Phys., February, 2024
2023
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation.
J. Comput. Phys., November, 2023
A high-order compact difference scheme on graded mesh for time-fractional Burgers' equation.
Comput. Appl. Math., February, 2023
Numer. Algorithms, 2023
SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions.
CoRR, 2023
A third-order weighted nonlinear scheme for hyperbolic conservation laws with inverse Lax-Wendroff boundary treatment.
Appl. Math. Comput., 2023
2022
Correction to: Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations.
J. Sci. Comput., 2022
Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations.
J. Sci. Comput., 2022
Positivity-Preserving and Well-Balanced Adaptive Surface Reconstruction Schemes for Shallow Water Equations with Wet-Dry Fronts.
J. Sci. Comput., 2022
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation.
J. Sci. Comput., 2022
A well-balanced weighted compact nonlinear scheme for shallow water equations on curvilinear grids.
J. Comput. Phys., 2022
Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods.
J. Comput. Appl. Math., 2022
Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions.
CoRR, 2022
Arbitrary high-order structure-preserving schemes for the generalized Rosenau-type equation.
CoRR, 2022
2021
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, 2021
Two regularized energy-preserving finite difference methods for the logarithmic Klein-Gordon equation.
J. Comput. Appl. Math., 2021
Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation.
CoRR, 2021
2020
Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations.
J. Comput. Phys., 2020
Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise.
J. Comput. Phys., 2020
Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs.
Appl. Math. Lett., 2020
Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation.
Appl. Math. Comput., 2020
2019
Mass and energy conservative high order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation in one and two dimensions.
CoRR, 2019
A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise.
Appl. Math. Lett., 2019
2018
Appl. Math. Comput., 2018
2017
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise.
J. Comput. Appl. Math., 2017
Conservative modified Crank-Nicolson and time-splitting wavelet methods for modeling Bose-Einstein condensates in delta potentials.
Appl. Math. Comput., 2017
2014
A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation.
Comput. Phys. Commun., 2014
2012
Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral.
J. Appl. Math., 2012
Appl. Math. Comput., 2012
2011
The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs.
J. Comput. Appl. Math., 2011
Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation.
Comput. Phys. Commun., 2011
2010
J. Comput. Phys., 2010
Comput. Phys. Commun., 2010
2009
J. Comput. Phys., 2009
2002
Third Order Accurate Large-Particle Finite Volume Method on Unstructured Triangular Meshes.
SIAM J. Sci. Comput., 2002