| High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces J Albright, Y Epshteyn, M Medvinsky, Q Xia Applied Numerical Mathematics 111, 64-91, 2017 | 29 | 2017 |
| Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D Y Epshteyn, Q Xia Journal of Scientific Computing 80 (1), 26-59, 2019 | 22 | 2019 |
| High-order numerical methods for 2D parabolic problems in single and composite domains G Ludvigsson, KR Steffen, S Sticko, S Wang, Q Xia, Y Epshteyn, G Kreiss Journal of Scientific Computing 76 (2), 812-847, 2018 | 18 | 2018 |
| High-order accurate methods based on difference potentials for 2D parabolic interface models J Albright, Y Epshteyn, Q Xia Communications in Mathematical Sciences 15 (4), 985-1019, 2017 | 15 | 2017 |
| High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces Q Xia, JW Banks, WD Henshaw, AV Kildishev, G Kovačič, LJ Prokopeva, ... Journal of computational physics 456, 111051, 2022 | 11 | 2022 |
| Difference potentials method for models with dynamic boundary conditions and bulk-surface problems Y Epshteyn, Q Xia Advances in Computational Mathematics 46 (5), 67, 2020 | 6 | 2020 |
| Local-basis difference potentials method for elliptic PDEs in complex geometry Q Xia Journal of Computational Physics 488, 112246, 2023 | 2 | 2023 |
| Synthetic Fluency and Epistemic Offloading in Undergraduate Mathematics in the Age of AI S Wang, Q Xia, Q Ye arXiv preprint arXiv:2512.21045, 2025 | | 2025 |
| Unfitted Lattice Green's Function Method for Exterior Scattering in Complex Geometry S Wang, Q Xia arXiv preprint arXiv:2511.14346, 2025 | | 2025 |
| A geometrically robust unfitted boundary algebraic equation method based on discrete potentials and local basis functions Q Xia arXiv preprint arXiv:2509.01380, 2025 | | 2025 |
| Unfitted boundary algebraic equation method based on difference potentials and lattice Green's function in 3D Q Xia arXiv preprint arXiv:2502.05507, 2025 | | 2025 |
| High-order Accurate Schemes for Maxwell-Bloch Equations with Material Interfaces Q Xia, JW Banks, WD Henshaw, AV Kildishev, G Kovačič, LJ Prokopeva, ... 2021 International Applied Computational Electromagnetics Society Symposium …, 2021 | | 2021 |
| Modeling lasing dynamics in lasing spaser arrays and BIC-based lasers AV Kildishev, SI Azzam, LJ Prokopeva, Q Xia, G Kovačič, ... Active Photonic Platforms XII 11461, 114612F, 2020 | | 2020 |
| Nonlinear Light-Matter Interactions: Time-Domain Multiphysics Modeling SI Azzam, LJ Prokopeva, Q Xia, G Kovačič, WD Henshaw, AV Kildishev 2020 International Applied Computational Electromagnetics Society Symposium …, 2020 | | 2020 |
| Robust Numerical Algorithms with Applications to Interface Problems and Chemotaxis Models in Biology Q Xia The University of Utah, 2019 | | 2019 |
