Journal Publications:

       ● X. Zeng and M. M. Hasan, “On the stability of explicit finite difference methods for advection-diffusion equations". Numer. Meth. Part. D. E. 39 (2023) 421-446.

       ● H. D. Curtsinger, X. Zeng, Z. Mather, M. Ballyk, T. A. Phan, B. Niu, J. Pu, M. Y. Bartee, J. P. Tian, and E. Bartee, “High levels of extracellular potassium can delay myxoma virus replication by preventing release of virions from the endosomes". J. Virol. 97 (2023) 1-13.

       ● M. M. Hasan and X. Zeng, “A central compact hybrid-variable method with spectral-like resolution: One-dimensional case". J. Comput. Appl. Math. 421 (2023) 114894.

       ● X. Zeng, G. Stabile, E. N. Karatzas, G. Scovazzi, and G. Rozza, “Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method". Comput. Methods Appl. Mech. Eng. 398 (2022) 115143.

       ● B. Niu, X. Zeng, T. A. Phan, F. Szulzewsky, S. Holte, E. Holland, and J. P. Tian, “Mathematical modeling of PDGF-driven glioma reveals the dynamics of immune cells infiltrating into tumors”. Neoplasia 22 (2020) 323-332

       ● X. Zeng, M. Saleh, and P. Tian, “On finite volume discretization of infiltration dynamics in tumor growth models”. Adv. Comput. Math. 45 (2019) 3057-3094.

       ● X. Zeng, “Linear hybrid-variable methods for advection equations”. Adv. Comput. Math. 45 (2019) 929-980.

       ● X. Zeng, K. Li, and G. Scovazzi, “An ALE/embedded boundary method for two-material flow simulations”. Comput. Math. Appl. 78 (2019) 335-361.

       ● X. Zeng, G. Scovazzi, N. Abboud, O. Colomes, and S. Rossi, “A dynamic variational multiscale method for viscoelasticity using linear tetrahedral elements”.Int. J. Numer. Meth. Eng., 112 (2017) 1951-2003.

       ● G. Scovazzi, T. Song, and X. Zeng, “A velocity/stress mixed stabilized nodal finite element for elastodynamics: Analysis and computations with strong and weak boundary conditions”. Comput. Methods Appl. Mech. Eng., 325 (2017) 532-576.

       ● A. Main, X. Zeng, P. Avery, and C. Farhat, “An enhanced FIVER method for multi-material flow problems with second-order convergence rate”. J. Comput. Phys., 329 (2017) 141-172.

       ● X. Zeng, “A General Approach to Enhance Slope Limiters in MUSCL Schemes on Non-Uniform Rectilinear Grids”. SIAM J. Sci. Comput., 38 (2016) A789-A813.

       ● X. Zeng and G. Scovazzi, “A variational multiscale finite element method for monolithic ALE computations of shock hydrodynamics using nodal elements”. J. Comput. Phys., 315 (2016) 577-608.

       ● G. Scovazzi, B. Carnes, X. Zeng, and S. Rossi, “A simple, stable and accurate tetrahedral finite element for transient, nearly incompressible, linear and nonlinear elasticity: A dynamic variational multiscale approach”, Int. J. Numer. Meth. Eng., 106 (2016) 799-839.

       ● X. Zeng and G. Scovazzi, “A frame-invariant vector limiter for flux corrected nodal remap in arbitrary Lagrangian Eulerian flow computations”. J. Comput. Phys., 270 (2014) 753-783.

       ● X. Zeng, “A High-Order Hybrid Finite Difference-Finite Volume Approach with Application to Inviscid Compressible Flow Problems: A Preliminary Study”. Computers and Fluids. 270 (2014) 753-783.

       ● X. Zeng and C. Farhat, “A Systematic Approach for Constructing Higher-Order Immersed Boundary and Ghost Fluid Methods for Fluid-Structure Interaction Problems”, J. Comput. Phys., 231 (2012) 2892-2923.

Conference Proceedings:

       ● X. Zeng, “A Hybrid Finite Difference-Finite Volume Approach and Its Application to Inviscid Compressible Flows”, 21th AIAA Computational Fluid Dynamics Conference, San Diego, California, June 24-26, 2013.

       ● X. Zeng and C. Farhat, “A Systematic Procedure for Achieving Higher-Order Spatial Accuracy in Ghost Fluid and Other Embedded Boundary Methods for Fluid-Structure Interaction Problems”, 20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011.