Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Mu-Zheng Zhu"'
On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-14 (2019)
Abstract By exploiting Toeplitz-like structure and non-Hermitian dense property of the discrete coefficient matrix, a new double-layer iterative method called SHSS-PCG method is employed to solve the linear systems originating from the implicit finit
Externí odkaz:
https://doaj.org/article/8f283b3ae1aa4050a9a7b5402ec7935e
Autor:
Mu-Zheng Zhu1 zhumzh07@yahoo.com, Min-Li Zeng2 zengminli@ptu.edu.cn, Ya-E Qi3 qiyaezhu@163.com, Rong-Qing Zhu4 1475365157@qq.com
Publikováno v:
Engineering Letters. Sep2021, Vol. 29 Issue 3, p1072-1077. 6p.
On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-14 (2019)
By exploiting Toeplitz-like structure and non-Hermitian dense property of the discrete coefficient matrix, a new double-layer iterative method called SHSS-PCG method is employed to solve the linear systems originating from the implicit finite differe
Publikováno v:
Linear and Multilinear Algebra. 69:719-731
The finite volume discretization of spatial fractional diffusion equations gives discretized linear systems whose coefficient matrices have a Toeplitz-like structure. By exploiting such a special s...
Publikováno v:
Journal of Computational and Applied Mathematics. 352:426-436
In this paper, a block product (BP) preconditioner is established for saddle point problems. Spectral properties of the BP preconditioned matrix are investigated. A strategy for practical choice of quasi-optimal parameter is given. Numerical results
Autor:
Mu-Zheng Zhu1 zhumzh07@yahoo.com, Ya-E Qi2 qiyaezhu@163.com
Publikováno v:
IAENG International Journal of Applied Mathematics. 2018, Vol. 48 Issue 3, p75-79. 5p. 4 Charts.
Publikováno v:
IAENG International Journal of Applied Mathematics. 2018, Vol. 48 Issue 2, p221-227. 7p. 3 Charts, 1 Graph.
Autor:
Mu-Zheng Zhu1 zhumzh07@yahoo.com, Ya-E Qi2
Publikováno v:
IAENG International Journal of Applied Mathematics. Dec2016, Vol. 46 Issue 4, p500-504. 5p. 3 Charts, 1 Graph.
Publikováno v:
Applied Mathematics Letters. 61:114-121
In this note, the block-diagonal preconditioner proposed and the block triangular proposed in Krendl et al. (2013) and Pearson and Wathen (2012), respectively, are further studied and optimized. Two improved preconditioners are proposed for solving a
Autor:
Guo-Feng Zhang, Mu-Zheng Zhu
Publikováno v:
Journal of Computational and Applied Mathematics. 290:433-444
For Toeplitz systems of weakly nonlinear equations, combining the separability and strong dominance between the linear and the nonlinear terms with the Hermitian and skew-Hermitian splitting (HSS) iteration technique, we establish two nonlinear compo