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BANDED M-MATRIX SPLITTING PRECONDITIONER FOR RIESZ SPACE FRACTIONAL REACTION-DISPERSION EQUATION
《Journal of Computational Mathematics》2024年第2期372-389,共18页Shiping Tang Aili Yang Yujiang Wu 
supported by the National Natural Science Foundation of China(Grant No.12161030);by the Hainan Provincial Natural Science Foundation of China(Grant No.121RC537).
Based on the Crank-Nicolson and the weighted and shifted Grunwald operators,we present an implicit difference scheme for the Riesz space fractional reaction-dispersion equations and also analyze the stability and the ...
关键词：Riesz space fractional equations Toeplitz matrix conjugate gradient method Incomplete Cholesky decomposition Banded M-matrix splitting 
Deep optics preconditioner for modulation-free pyramid wavefront sensing
《Photonics Research》2024年第2期301-312,共12页FELIPE GUZMÁN JORGE TAPIA CAMILO WEINBERGER NICOLÁS HERNÁNDEZ JORGE BACCA BENOIT NEICHEL ESTEBAN VERA 
Fondos de Desarrollo de la Astronomía Nacional(ALMA200008,QUIMAL220006);Agencia Nacional de Investigación y Desarrollo(ANILLO ATE220022,DOCTORADO NACIONAL 2022-21221399,ECOS200010,MAGISTER NACIONAL 2023-22230841,STIC2020004);Fondo Nacional de Desarrollo Científico y Tecnológico(EXPLORACION 13220234,POSTDOCTORADO 3220561)。
The pyramid wavefront sensor(PWFS)can provide the sensitivity needed for demanding adaptive optics applications,such as imaging exoplanets using the future extremely large telescopes of over 30 m of diameter(D).Howeve...
关键词：PROCESS OPTICS PYRAMID 
Semi-regularized Hermitian and Skew-Hermitian Splitting Preconditioning for Saddle-Point Linear Systems
《Communications on Applied Mathematics and Computation》2023年第4期1422-1445,共24页Kang-Ya Lu Shu-Jiao Li 
the National Natural Science Foundation of China(No.12001048);R&D Program of Beijing Municipal Education Commission(No.KM202011232019),China.
In this paper,a two-step semi-regularized Hermitian and skew-Hermitian splitting(SHSS)iteration method is constructed by introducing a regularization matrix in the(1,1)-block of the first iteration step,to solve the s...
关键词：Hermitian and skew-Hermitian splitting(HSS) EIGENVALUES EIGENVECTORS PRECONDITIONER Saddle-point linear system 
Two-Parameter Block Triangular Splitting Preconditioner for Block Two-by-Two Linear Systems
《Communications on Applied Mathematics and Computation》2023年第4期1601-1615,共15页Bo Wu Xingbao Gao 
the National Natural Science Foundation of China under Grant Nos.61273311 and 61803247.
This paper proposes a two-parameter block triangular splitting(TPTS)preconditioner for the general block two-by-two linear systems.The eigenvalues of the corresponding preconditioned matrix are proved to cluster aroun...
关键词：Block triangular splitting Block two-by-two linear systems Eigenvalues PRECONDITIONER flexible generalized minimal residual(FGMRES) 
Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media
《Communications in Computational Physics》2023年第10期1247-1276,共30页Yu Du Haijun Wu 
funded by the Natural Science Foundation of China under grants 12071401,12171238,12261160361,and 11525103;the science and technology innovation Program of Hunan Province 2022RC1191.
We extend the pure source transfer domain decomposition method(PSTDDM)to solve the perfectly matched layer approximation of Helmholtz scattering problems in heterogeneous media.We first propose some new source transfe...
关键词：Helmholtz equation large wave number perfectly matched layer source transfer domain decomposition method PRECONDITIONER heterogeneous problem 
Projection Improved SPAI Preconditioner for FGMRES
《Numerical Mathematics(Theory,Methods and Applications)》2023年第4期1035-1052,共18页Mingguang Geng Shuli Sun 
supported by the National Key R&D Program of China(Grant No.2021YFB2401700);the National Natural Science Foundation of China(Grant No.11672362).
Krylov subspace methods are widely used for solving sparse linear algebraic equations,but they rely heavily on preconditioners,and it is difficult to find an effective preconditioner that is efficient and stable for a...
关键词：Generalized minimal residual PRECONDITIONER sparse approximate inverse oblique projection orthogonal projection 
An incompressible flow solver on a GPU/CPU heterogeneous architecture parallel computing platform
《Theoretical & Applied Mechanics Letters》2023年第5期387-393,共7页Qianqian Li Rong Li Zixuan Yang 
supported by the National Natural Science Foundation of China (NSFC);Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics’(Grant No. 11988102);NSFC project (Grant No. 11972038)
A computational fluid dynamics(CFD)solver for a GPU/CPU heterogeneous architecture parallel computing platform is developed to simulate incompressible flows on billion-level grid points.To solve the Poisson equation,t...
关键词：GPU Acceleration Parallel computing Poisson equation PRECONDITIONER 
Linear System Solutions of the Navier-Stokes Equations with Application to Flow over a Backward-Facing Step
《Open Journal of Fluid Dynamics》2023年第3期133-143,共11页Achraf Badahmane 
Many applications in fluid mechanics require the numerical solution of sequences of linear systems typically issued from finite element discretization of the Navier-Stokes equations. The resulting matrices then exhibi...
关键词：Navier-Stokes Equation ΡGMRES Direct Solver Schur Approach PRECONDITIONER 
An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions
《Numerical Mathematics(Theory,Methods and Applications)》2023年第2期410-432,共23页Xiaoqiang Yue Zekai Zhang Xiaowen Xu Shuying Zhai Shi Shu 
supported by the National Natural Science Foundation of China(Grant 11971414);Hunan National Applied Mathematics Center(Grant 2020ZYT003);the Research Foundation of Education Bureau of Hunan(Grant 21B0162).
The paper investigates the robustness and parallel scaling properties of a novel physical factorization preconditioner with algebraic multigrid subsolves in the iterative solution of a cell-centered finite volume disc...
关键词：Radiation diffusion equations physical factorization preconditioning algebraic multigrid parallel and distributed computing 
An Efficient CPE Preconditioner for Cyclic Structured Matrices
《Acta Mathematica Sinica,English Series》2023年第2期257-276,共20页Jin Jing XU Xu Deng HANG Tong Xiang GU Xing Ping LIU 
Supported by the National Natural Science Foundation of China(Grant Nos.61472462,11671049);Science Challenge Project(Grant No.TZ2016002);the CAEP Developing Fund of Science Technology(Grant No.CX20210021)。
A new cyclic pseudo-elimination(CPE,in brief)preconditioner,which combines the pseudoelimination(PE)technique and LU factorization together,is proposed for a kind of cyclic structured matrices.For the case of M-matric...
关键词：Cyclic structured matrix preconditioning technique cyclic structured mesh pseudo-elimination 
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