1. Y. Xie, W. Ying, A fourth-order kernel-free boundary integral method for the modified Helmholtz equation, Journal of Scientific Computing 78 (2019) 1632-1658.
2. Y. Xie, W. Ying, W.-C. Wang, A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains, Journal of Scientific Computing 80 (2019) 1681-1699.
3. Y. Xie, W. Ying, A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions, Journal of Computational Physics 415 (2020) 109526.
4. Y. Xie, W. Ying, A high-order kernel-free boundary integral method for incompressible flow equations in two space dimensions, Numerical Mathematics: Theory, Methods and Applications 13 (2020) 595-619.
5. Y. Xie, Z. Huang, W. Ying, A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains, Computers and Mathematics with Applications 97 (2021) 298-313.
6. Y. Xie, S. Li, W. Ying, A fourth-order Cartesian grid method for multiple acoustic scattering on closely packed obstacles, Journal of Computational and Applied Mathematics 406 (2022) 113885.
7. Y. Cao, Y. Xie, et al. A kernel-free boundary integral method for elliptic PDEs on a doubly connected domain, Journal of Engineering Mathematics 136 (2022) 1-21.
8. Y. Xie, S. Li, W. Ying, A Fourth-order kernel-free boundary integral method for interface problems, Communications in Computational Physics 33 (2023) 764-794.
9. Y. Chen, Y. Xie, A kernel-free boundary integral method for reaction-diffusion equations, Electronic Research Archive 33 (2025) 556-581