Global existence of weak solutions of a time-dependent 3-D Ginzburg-Landau model for superconductivity. - Jishang Fan; Song Jiang 004 (Appl. Math. Lett., 2003)

New solutions of the 3 + 1 dimensional Jimbo-Miwa equation. - Xi-Qiang Liu; Song Jiang 004 (Appl. Math. Comput., 2004)

Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations. - Xi-Qiang Liu; Song Jiang 004 (Appl. Math. Comput., 2005)

Vanishing Viscosity Limit to Rarefaction Waves for the Navier-Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids. - Song Jiang 004; Guoxi Ni; Wenjun Sun (SIAM J. Math. Anal., 2006)

Global existence and asymptotic behavior of weak solutions to the 1D compressible Navier-Stokes equations with degenerate viscosity coefficient. - Zhenhua Guo 002; Song Jiang 004; Feng Xie (Asymptot. Anal., 2008)

Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes. - Guoxi Ni; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2008)

A DGBGK scheme based on WENO limiters for viscous and inviscid flows. - Guoxi Ni; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2008)

Modified kinetic flux vector splitting schemes for compressible flows. - Yibing Chen; Song Jiang 004 (J. Comput. Phys., 2009)

Remapping-free ALE-type kinetic method for flow computations. - Guoxi Ni; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2009)

Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients. - Song Jiang 004; Qiangchang Ju; Fucai Li (SIAM J. Math. Anal., 2010)

On the Rayleigh-Taylor Instability for Incompressible, Inviscid Magnetohydrodynamic Flows. - Ran Duan; Fei Jiang 010; Song Jiang 004 (SIAM J. Appl. Math., 2011)

Data sharpening methods in multivariate local quadratic regression. - Xiaoying Wang; Song Jiang 004; Junping Yin (J. Multivar. Anal., 2012)

Zero dissipation limit of full compressible Navier-Stokes equations with a Riemann initial data. - Feimin Huang; Song Jiang 004; Yi Wang (Commun. Inf. Syst., 2013)

A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. - Jun Bo Cheng; Eleuterio F. Toro; Song Jiang 004; Weijun Tang (J. Comput. Phys., 2013)

A High-Order Moving Mesh Kinetic Scheme Based on WENO Reconstruction for Compressible Flows on Unstructured Meshes. - Xihua Xu; Guoxi Ni; Song Jiang 004 (J. Sci. Comput., 2013)

Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations. - Song Jiang 004; Fucai Li (Asymptot. Anal., 2015)

An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations. - Wenjun Sun; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2015)

An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations. - Wenjun Sun; Song Jiang 004; Kun Xu 001; Shu Li (J. Comput. Phys., 2015)

Nonrelativistic Limit of the Compressible Navier-Stokes-Fourier-P1 Approximation Model Arising in Radiation Hydrodynamics. - Song Jiang 004; Fucai Li; Feng Xie (SIAM J. Math. Anal., 2015)

HFVS: An arbitrary high order approach based on flux vector splitting. - Yibing Chen; Song Jiang 004; Na Liu (J. Comput. Phys., 2016)

Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations. - Song Jiang 004; Qiangchang Ju; Fucai Li (SIAM J. Math. Anal., 2016)

A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows. - Jun Bo Cheng; Weizhang Huang; Song Jiang 004; Baolin Tian (J. Comput. Phys., 2017)

A multidimensional unified gas-kinetic scheme for radiative transfer equations on unstructured mesh. - Wenjun Sun; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2017)

On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh-Taylor Problem. - Fei Jiang 010; Song Jiang 004 (SIAM J. Math. Anal., 2018)

A second-order cell-centered Lagrangian scheme with a HLLC Riemann solver of elastic and plastic waves for two-dimensional elastic-plastic flows. - Jun Bo Cheng; Li Liu; Song Jiang 004; Ming Yu; Zhanli Liu (J. Comput. Phys., 2020)

An efficient high-order gas-kinetic scheme (I): Euler equations. - Shiyi Li; Yibing Chen; Song Jiang 004 (J. Comput. Phys., 2020)

Multiscale Simulation for the System of Radiation Hydrodynamics. - Wenjun Sun; Song Jiang 004; Kun Xu 001; Guiyu Cao (J. Sci. Comput., 2020)

A positive and asymptotic preserving filtered PN method for the gray radiative transfer equations. - Xiaojing Xu; Song Jiang 004; Wenjun Sun (J. Comput. Phys., 2021)

A model-data asymptotic-preserving neural network method based on micro-macro decomposition for gray radiative transfer equations. - Hongyan Li; Song Jiang 004; Wenjun Sun; Liwei Xu; Guanyu Zhou (CoRR, 2022)

Spatial second-order positive and asymptotic preserving filtered PN schemes for nonlinear radiative transfer equations. - Xiaojing Xu; Song Jiang 004; Wenjun Sun (CoRR, 2023)

A one-stage high-order gas-kinetic scheme for multi-component flows with interface-sharpening technique. - Shiyi Li; Dongmi Luo; Jianxian Qiu; Song Jiang 004; Yibing Chen (J. Comput. Phys., 2023)

Spatial Second-Order Positive and Asymptotic Preserving Unified Gas Kinetic Schemes for Radiative Transfer Equations. - Xiaojing Xu; Song Jiang 004; Wenjun Sun (J. Sci. Comput., 2023)

Second order symmetry-preserving conservative intersection-based remapping method in two-dimensional cylindrical coordinates. - Liujun Pan; Yue Wang; Jun Bo Cheng; Song Jiang 004 (J. Comput. Phys., 2024)

Spatial second-order positive and asymptotic preserving filtered P schemes for nonlinear radiative transfer equations. - Xiaojing Xu; Song Jiang 004; Wenjun Sun (J. Comput. Phys., 2024)

Macroscopic Auxiliary Asymptotic Preserving Neural Networks for the Linear Radiative Transfer Equations. - Hongyan Li; Song Jiang 004; Wenjun Sun; Liwei Xu; Guanyu Zhou (J. Sci. Comput., 2025)

Data-driven optimized high-order WENO schemes with low-dissipation and low-dispersion. - Jinrui Zhou; Yiqi Gu; Song Jiang 004; Hua Shen; Liwei Xu; Guanyu Zhou (CoRR, 2025)