High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains. - Gustav Ludvigsson; Kyle R. Steffen; Simon Sticko; Siyang Wang 003; Qing Xia 006; Yekaterina Epshteyn; Gunilla Kreiss (J. Sci. Comput., 2018)

Efficient Numerical Algorithms Based on Difference Potentials for Chemotaxis Systems in 3D. - Yekaterina Epshteyn; Qing Xia 006 (J. Sci. Comput., 2019)

Difference potentials method for models with dynamic boundary conditions and bulk-surface problems. - Yekaterina Epshteyn; Qing Xia 006 (Adv. Comput. Math., 2020)

High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces. - Qing Xia 006; Jeffrey W. Banks; William D. Henshaw; Alexander V. Kildishev; Gregor Kovacic; Ludmila J. Prokopeva; Donald W. Schwendeman (J. Comput. Phys., 2022)

Local-basis difference potentials method for elliptic PDEs in complex geometry. - Qing Xia 006 (J. Comput. Phys., 2023)