5 papers
An efficient preconditioner for evolutionary partial differential equations with -method in time discretization
Yuan-Yuan Huang, Po Yin Fung, Sean Y. Hon +1
In this study, the -method is used for discretizing a class of evolutionary partial differential equations. Then, we transform the resultant all-at-once linear system and introd…
Absolute-value based preconditioner for complex-shifted Laplacian systems
Xuelei Lin, Congcong Li, Sean Hon
The complex-shifted Laplacian systems arising in a wide range of applications. In this work, we propose an absolute-value based preconditioner for solving the complex-shifted Lapla…
Multilevel Tau preconditioners for symmetrized multilevel Toeplitz systems with applications to solving space fractional diffusion equations
Congcong Li, Sean Hon
In this work, we develop a novel multilevel Tau matrix-based preconditioned method for a class of non-symmetric multilevel Toeplitz systems. This method not only accounts for but a…
Block -circulant preconditioners for parabolic optimal control problems
Po Yin Fung, Sean Hon
In this work, we propose a class of novel preconditioned Krylov subspace methods for solving an optimal control problem of parabolic equations. Namely, we develop a family of block…
A single-sided all-at-once preconditioning for linear system from a non-local evolutionary equation with weakly singular kernels
Xuelei Lin, Jiamei Dong, Sean Hon
{In [X. L. Lin, M. K. Ng, and Y. Zhi. {\it J. Comput. Phys.}, 434 (2021), pp. 110221] and [Y. L. Zhao, J. Wu, X. M. Gu, and H. Li. {\it Comput. Math. Appl.}, 148(2023), pp. 200--21…