Songhe Song
Results

Journal Article
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 1 : pp. 159–181

Journal Article
Unconditionally Maximum-Principle-Preserving Parametric Integrating Factor Two-Step Runge-Kutta Schemes for Parabolic Sine-Gordon Equations
CSIAM Transactions on Applied Mathematics, Vol. 4 (2023), Iss. 1 : pp. 177–224

Journal Article
Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms
Communications in Computational Physics, Vol. 35 (2024), Iss. 2 : pp. 498–523

Journal Article
Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation
Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 4 : pp. 993–1012

Journal Article
Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 4 : pp. 643–662

Journal Article
Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 119–142

Journal Article
Stochastic Global Momentum-Preserving Schemes for Two-Dimensional Stochastic Partial Differential Equations
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 912–927

Journal Article
Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 4 : pp. 935–959

Journal Article
Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 6 : pp. 663–688

Journal Article
A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 5 : pp. 1181–1200

Journal Article
Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 4 : pp. 494–514

Journal Article
Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 6 : pp. 1383–1403