Working papers:

1. Y.-Y. Huang, P. Y. Fung, S. Y. Hon*, and X. Lin, An efficient parallel-in-time preconditioner for evolutionary partial differential equations with $\theta$-method in time discretization.

2. S. Y. Hon, P. Y. Fung, and X. Lin*, An optimal parallel-in-time preconditioner for parabolic optimal control problems.

3. P. Y. Fung and S. Y. Hon*, Block $\omega$-circulant preconditioners for parabolic equations.
   
   

1. W. Qu, Y.-Y. Huang, S. Hon, and S.-L. Lei*, A novel fourth-order scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations and its optimal preconditioned solver. Preprint. [pdf]

2. S. Hon*, Multilevel Tau preconditioners for symmetrized multilevel Toeplitz systems with applications to solving space fractional diffusion equations. Preprint. [pdf]

3. X. Lin, C. Li*, and S. Hon, Absolute-value based preconditioner for complex-shifted Laplacian systems. Preprint. [pdf]

4. P. Y. Fung and S. Hon*, Block $\omega$-circulant preconditioners for parabolic optimal control problems. Preprint. [pdf]

5. X. Lin and S. Hon*, A block $\alpha$-circulant based preconditioned MINRES method for wave equations. Preprint. [pdf]

6. C. Li, X. Lin*, S. Hon, and S.-L. Wu, A preconditioned MINRES method for block lower triangular Toeplitz systems. Journal of Scientific Computing, 100 (63), 2024. [pdf] 

7. X. Lin, J. Dong*, and S. Hon, A single-sided all-at-once preconditioning for linear system from a non-local evolutionary equation with weakly singular kernels. Computers and Mathematics with Applications, 169:1-16, 2024. [pdf]

8. S. Hon*, P. Y. Fung, J. Dong, and S. Serra-Capizzano, A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. Numerical Algorithms,  95 (4), 1769-1799, 2024.

9. S. Hon, J. Dong, and S. Serra-Capizzano*, A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory. SIAM Journal on Matrix Analysis and Applications, 44 (4): 1477-1509, 2023.

10. S. Hon* and S. Serra-Capizzano, A block Toeplitz preconditioner for all-at-once systems of linear wave equations. Electronic Transactions on Numerical Analysis, 58:177-195, 2023.

11. S. Hon* and H. Yang, Simultaneous neural network approximations for smooth functions. Neural Networks, 154:152-164, 2022.

12. S. Hon*, Optimal block circulant preconditioners for block Toeplitz systems with application to evolutionary PDEs. Journal of Computational and Applied Mathematics, 407:113965, 2022.

13. S. Hon*, S. Serra-Capizzano, and A. Wathen, Band-Toeplitz preconditioners for ill-conditioned nonsymmetric Toeplitz systems, BIT Numerical Mathematics,  62 (2), 465-491, 2022.

14. S. Hon* and A. Wathen, Numerical investigation of the spectral distribution of Toeplitz-function sequences, Computational Methods for Inverse Problems in Imaging. Springer INdAM Series, vol 36. Springer, Cham, 2019.

15. P. Ferrari, I. Furci, S. Hon*, M. Mursaleen, and S. Serra-Capizzano, The eigenvalue distribution of special 2-by-2 block matrix sequences, with applications to the case of symmetrized Toeplitz structures, SIAM Journal on Matrix Analysis and Applications, 40(3) 1066-1086, 2019.

16. S. Hon*, M. Mursaleen, and S. Serra-Capizzano, A note on the spectral distribution of symmetrized Toeplitz sequences, Linear Algebra and its Application, 579:32-50, 2019.

17. S. Hon*, Circulant preconditioners for analytic functions of Hermitian Toeplitz matrices, Journal of Computational and Applied Mathematics, 352:328-340, 2019.

18. S. Hon*, Preconditioning for Toeplitz-related systems, DPhil thesis, University of Oxford, 2018.

19. S. Hon*, Optimal preconditioners for systems defined by functions of Toeplitz matrices, Linear Algebra and its Applications, 548:148-171, 2018.

20. M. Hammerschmidt*, J. Pabisiak, A. Perez-Gea, N. Julian, S. Hon, and S. Burger, Efficient finite-element-based numerical modelling of large sub-wavelength patterned optical structures, Proc. SPIE 10542, High Contrast Metastructures VII, 105421G, 2018.

21. S. Hon* and A. Wathen, Circulant preconditioners for analytic functions of Toeplitz matrices, Numerical Algorithms, 79:1211-1230, 2018.

22. E. McDonald*, S. Hon, J. Pestana, and A. Wathen, Preconditioning for nonsymmetry and time-dependence. Domain Decomposition Methods in Science and Engineering XXIII, Lect. Notes Comput. Sci., 116:81-91, Springer, Cham, 2017.

23. K. Siegel, K. Altenburger, Y. Hon, J. Lin, and C. Yu*, PuzzleCluster: a novel unsupervised clustering algorithm for binning DNA fragments in metagenomics, Current Bioinformatics, 10 (2), 231-252, 2015.

24. S. Hon, S. Leung*, and H. Zhao, A cell based particle method for modeling dynamic interfaces, Journal of Computational Physics, 272:279-306, 2014.

*: Corresponding author.