Selected Publications

[1] Y.-L. Zhao, X.-M. Gu, An adaptive low-rank splitting approach for the extended Fisher–Kolmogorov equation, Journal of Computational Physics, 506 (2024) 112925. [link]

[2] Y.-L. Zhao, M. Li, Full-rank and low-rank splitting methods for the Swift–Hohenberg equation, Communications in Nonlinear Science and Numerical Simulation, 127 (2023) 107532. [link]

[3] Y.-L. Zhao, A. Ostermann, X.-M. Gu, A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations, Journal of Computational Physics, 446 (2021) 110652. [link] [slide]

[4] Y.-L. Zhao, X.-M. Gu, A. Ostermann, A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps, Journal of Scientific Computing, 88 (2021) 11. [link]

[5] Y.-L. Zhao, M. Li, Alexander Ostermann, Xian-Ming Gu, An efficient second-order energy stable BDF scheme for the space fractional Cahn–Hilliard equation, BIT Numerical Mathematics, 61 (2021) 1061–1092. [link]

[6] X.‐M. Gu, H.‐W. Sun, Y. Zhang, Y.‐L. Zhao*, Fast implicit difference schemes for time‐space fractional diffusion equations with the integral fractional Laplacian, Mathematical Methods in the Applied Sciences, 44 (2021) 441-463.  [link]

[7] X.-M. Gu, Y.-L. Zhao*, X.-L. Zhao, B. Carpentieri, Y.-Y. Huang, A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations, Numerical Mathematics: Theory, Methods and Applications, 14 (2021) 893-919. [link]

[8] Y.-L. Zhao, P.-Y. Zhu, X.-M. Gu, X.-L. Zhao, H.-Y. Jian, A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation, Journal of Scientific Computing, 83 (2020) 10. [link]

[9] Y.-L. Zhao, P.-Y. Zhu, X.-M. Gu, X.-L. Zhao, J. Cao, A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation, Journal of Computational and Applied Mathematics, 362 (2019) 99-115. [link] [slide]