All Stories

  1. A physical-constraints-preserving arbitrary Lagrangian–Eulerian discontinuous Galerkin scheme on adaptive unstructured meshes for two-component flows

    Article • Physics of Fluids, July 2025, American Institute of Physics

    Xiaolong Zhao, Professor Yu Xijun, Fang Qing

  2. Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution

    Article • Discrete and Continuous Dynamical Systems - B, January 2020, American Institute of Mathematical Sciences (AIMS)

    Professor Yu Xijun

  3. A direct discontinuous Galerkin method for time-fractional diffusion equation with discontinuous diffusive coefficient

    Article • Complex Variables and Elliptic Equations, August 2019, Taylor & Francis

    Professor Yu Xijun, Huili Zhang

  4. Numerical Simulation of Gas-Particle Two-Phase Flow in a Nozzle with DG Method

    Article • Discrete Dynamics in Nature and Society, July 2019, Hindawi Publishing Corporation

    Professor Yu Xijun, Fang Qing

  5. LDG Methods for Reaction-diffusion Systems with Application of Krylov Implicit Integration Factor Methods

    Article • Taiwanese Journal of Mathematics, June 2019, The Mathematical Society of the Republic of China

    Professor Yu Xijun

  6. Nonlinear Waves in Rods and Beams of Power-Law Materials

    Article • Journal of Applied Mathematics, January 2017, Hindawi Publishing Corporation

    Professor Yu Xijun

  7. A numerical method based on fully discrete direct discontinuous Galerkin method for the time fractional diffusion equation

    Article • Applied Mathematics and Computation, August 2015, Elsevier

    Professor Yu Xijun

  8. The high order control volume discontinuous Petrov–Galerkin finite element method for the hyperbolic conservation laws based on Lax–Wendroff time discretization

    Article • Applied Mathematics and Computation, February 2015, Elsevier

    Professor Yu Xijun

  9. Lattice Boltzmann kinetic modeling and simulation of thermal liquid–vapor system

    Article • International Journal of Modern Physics C, December 2014, World Scientific Pub Co Pte Lt

    Professor Yu Xijun, Professor Aiguo Xu

  10. The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions

    Article • Computers & Fluids, June 2014, Elsevier

    Professor Yu Xijun

  11. Direct discontinuous Galerkin method for nonlinear reaction–diffusion systems in pattern formation

    Article • Applied Mathematical Modelling, March 2014, Elsevier

    Professor Yu Xijun

  12. The preconditioned Jacobian-free Newton–Krylov methods for nonequilibrium radiation diffusion equations

    Article • Journal of Computational and Applied Mathematics, January 2014, Elsevier

    Professor Yu Xijun

  13. On linearization and preconditioning for radiation diffusion coupled to material thermal conduction equations

    Article • Journal of Computational Physics, March 2013, Elsevier

    Professor Yu Xijun

  14. Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation

    Article • Communications in Computational Physics, January 2013, Global Science Press

    Professor Yu Xijun

  15. The local discontinuous Galerkin method for Burger’s–Huxley and Burger’s–Fisher equations

    Article • Applied Mathematics and Computation, May 2012, Elsevier

    Professor Yu Xijun

  16. Local discontinuous Galerkin method for solving anN-carrier system

    Article • Numerical Methods for Partial Differential Equations, December 2011, Wiley

    Professor Yu Xijun

  17. The new numerical method for solving the system of two-dimensional Burgers’ equations

    Article • Computers & Mathematics with Applications, October 2011, Elsevier

    Professor Yu Xijun

  18. Three dimensional discontinuous Galerkin methods for Euler equations on adaptive conforming meshes

    Article • Computer Physics Communications, September 2011, Elsevier

    Professor Yu Xijun

  19. Thermally coupled quasi-Newtonian flows: Analysis and computation

    Article • Journal of Computational and Applied Mathematics, May 2011, Elsevier

    Professor Yu Xijun

  20. Mixed discontinuous Galerkin analysis of thermally nonlinear coupled problem

    Article • Computer Methods in Applied Mechanics and Engineering, March 2011, Elsevier

    Professor Yu Xijun

  21. The Runge-Kutta control volume discontinuous finite element method for systems of hyperbolic conservation laws

    Article • International Journal for Numerical Methods in Fluids, August 2010, Wiley

    Professor Yu Xijun

  22. Temperature pattern dynamics in shocked porous materials

    Article • Science China Physics Mechanics and Astronomy, July 2010, Springer Science + Business Media

    Professor Yu Xijun, Professor Aiguo Xu

  23. Two-dimensional lattice Boltzmann model for compressible flows with high Mach number

    Article • Physica A Statistical Mechanics and its Applications, March 2008, Elsevier

    Professor Yu Xijun, Professor Aiguo Xu

  24. The Multiscale Finite Element Method with Nonconforming Elements for Elliptic Homogenization Problems

    Article • Multiscale Modeling and Simulation, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Professor Yu Xijun

  25. Mathematical and Numerical Analysis of Thermally Coupled Quasi-Newtonian Flow Obeying a Power Law

    Article • January 2007, Springer Science + Business Media

    Professor Yu Xijun

  26. The Runge-Kutta DG finite element method and the KFVS scheme for compressible flow simulations

    Article • Numerical Methods for Partial Differential Equations, January 2006, Wiley

    Professor Yu Xijun

  27. RKDG Finite Element Method Combined with BGK Scheme for Solving Fluid Dynamics System

    Article • SIAM Journal on Scientific Computing, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor Yu Xijun

  28. An Enthalpy Control Volume Method for Transient Mass and Heat Transport with Solidification

    Article • International Journal of Computational Fluid Dynamics, October 2004, Taylor & Francis

    Professor Yu Xijun

  29. RKDG Finite Element Schemes Combined with a Gas-Kinetic Methods for One-Dimensional Compressible Euler Equations

    Article • January 2003, American Mathematical Society (AMS)

    Professor Yu Xijun

  30. A Taylor-Galerkin finite element method for one-dimensional hyperbolic conservation laws

    Article • January 2002, American Mathematical Society (AMS)

    Professor Yu Xijun