Published in Numerical Algorithms, 2023
Recommended citation: Zhong-Zhi Bai, Kang-Ya Lu; An economic implementation of the optimal rotated block-diagonal preconditioning method, Numerical Algorithms, 93(2023), 85–101.
Published in Communications on Applied Mathematics and Computation, 2023
Recommended citation: Kang-Ya Lu, Shu-Jiao Li; Semi-regularized Hermitian and Skew-Hermitian splitting preconditioning for Saddle-point linear systems, Communications on Applied Mathematics and Computation, 5(2023), 1422-1445.
Published in Japan Journal of Industrial and Applied Mathematics, 2023
Recommended citation: Kang-Ya Lu, Cun-Qiang Miao; Computing interior eigenpairs in augmented Krylov subspace produced by Jacobi-Davidson correction equation, Japan Journal of Industrial and Applied Mathematics, 2023, 1-16.
Published in Mathematics and Computers in Simulation, 2023
Recommended citation: Kang-Ya Lu, Cun-Qiang Miao; Matrix splitting preconditioning based on sine transform for solving two-dimensional space-fractional diffusion equations, Mathematics and Computers in Simulation, 2023, 1-20.
Published in Applied Numerical Mathematics, 2021
Recommended citation: Zhong-Zhi Bai, Kang-Ya Lu; Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations, Applied Numerical Mathematics, 163(2021), 126–146.
Published in Applied Numerical Mathematics, 2021
Recommended citation: Kang-Ya Lu, Dong-Xiu Xie, Fang Chen, Galina V. Muratova, Dominant Hermitian splitting iteration method for discrete space-fractional diffusion equations, Applied Numerical Mathematics, 164(2021), 15-28.
Published in Applied Mathematics Letters, 2020
Recommended citation: Kang-Ya Lu, Cun-Qiang Miao, Fast modified scaled HSS preconditioner for steady-state space-fractional diffusion equations, Applied Mathematics Letters, 101(2020), 1-6(106068).
Published in Numerical Linear Algebra with Applications, 2020
Recommended citation: Zhong-Zhi Bai, Kang-Ya Lu, On regularized Hermitian splitting iteration methods for solving discretized almost isotropic spatial fractional diffusion equations, Numerical Linear Algebra with Applications, 27(2020), 1-21(e2274).
Published in Journal of Computational Physics, 2019
Recommended citation: Zhong-Zhi Bai, Kang-Ya Lu, Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations, Journal of Computational Physics, 404(2020), 1-13(109117).
Published in BIT Numerical Mathematics, 2019
Recommended citation: Zhong-Zhi Bai, Kang-Ya Lu, On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations, BIT Numerical Mathematics, 2019, 59(1): 1-33.
Published in Computational and Applied Mathematics, 2018
Recommended citation: Kang-Ya Lu, Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations, Computational and Applied Mathematics, 2018, 37(4): 4196-4218.
Published in Numerical Linear Algebra with Applications, 2017
Recommended citation: Zhong-Zhi Bai, Kang-Ya Lu, Jian-Yu Pan, Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations, Numerical Linear Algebra with Applications, 2017, 24(4): 1-15(e2093).