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POISSON PRECONDITIONING FOR SELF-ADJOINT ELLIPTIC PROBLEMS
《Journal of Computational Mathematics》2014年第5期560-578,共19页Houde Han Chunxiong Zheng 
The work of the first author was supported by the National Natural Science Foundation of China （91330203）. The work of the second author was supported by the National Natural Science Foundation of China （10371218） and the Initiative Scientific Research Program of Tsinghua University.
In this paper, we formulate interface problem and Neumann elliptic boundary value problem into a form of linear operator equations with self-adjoint positive definite op- erators. We prove that in the discrete level t...
关键词：Fast Poisson solver Interface problem Self-adjoint elliptic problem Conjugategradient method. 
GENERALIZED CONJUGATE A-ORTHOGONAL RESIDUAL SQUARED METHOD FOR COMPLEX NON-HERMITIAN LINEAR SYSTEMS被引量：1
《Journal of Computational Mathematics》2014年第3期248-265,共18页Jianhua Zhang Hua Dai 
The authors are grateful to the referees for their valuable comments and suggestions which helped to improve the presentation of this paper. The research is supported by the National Natural Science Foundation of China under grant No.11071118, Natural Science Foundation from Anhui Province Education Department under grant No.KJ2012B058 and AHSTU under grant No.ZRC2013388.
Recently numerous numerical experiments on realistic calculation have shown that the conjugate A-orthogonal residual squared （CORS） method is often competitive with other popular methods. However, the CORS method, l...
关键词：Krylov subspace BiCOR method CORS method Complex non-Hermitianlinear systems. 
CONJUGATE-SYMPLECTICITY OF LINEAR MULTISTEP METHODS被引量：2
《Journal of Computational Mathematics》2008年第5期657-659,共3页Ernst Hairer 
the Swiss National Science Foundation, project No.200020-121561
For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior....
关键词：Linear multistep method Underlying one-step method Conjugate-symplecticity Symmetry. 
NON-EXISTENCE OF CONJUGATE-SYMPLECTIC MULTI-STEP METHODS OF ODD ORDER被引量：1
《Journal of Computational Mathematics》2007年第6期690-696,共7页Yandong Jiao Guidong Dai Quandong Feng Yifa Tang 
Acknowledgements. We would like to thank the editors for their valuable suggestions and corrections. This research is supported by the National Natural Science Foundation of China （Grant Nos. 10471145 and 10672143）, and by Morningside Center of Mathematics, Chinese Academy of Sciences.
We prove that any linear multi-step method G1^T of the form ∑k=0^mαkZk = T∑k=0^mβkJ^-1↓ΔH（Zk） with odd order u （u≥ 3） cannot be conjugate to a symplectic method G2^T of order w （w 〉 u） via any generalize...
关键词：Linear multi-step method Generalized linear multi-step method Step-transition operator Infinitesimally symplectic Conjugate-symplectic. 
EXPANSIONS OF STEP-TRANSITION OPERATORS OF MULTI-STEP METHODS AND ORDER BARRIERS FOR DAHLQUIST PAIRS被引量：1
《Journal of Computational Mathematics》2006年第1期45-58,共14页Quan-dong Feng Yi-fa Tang 
This research is supported by the Informatization Construction of Knowledge Innovation Projects of the Chinese Academy of Sciences ＂Supercomputing Environment Construction and Application＂ （INF105-SCE）, and by a grant （No. 10471145） from National Natural Science Foundation of China.
Using least parameters, we expand the step-transition operator of any linear multi-step method （LMSM） up to O（τ^s＋5） with order s = 1 and rewrite the expansion of the steptransition operator for s = 2 （obtained...
关键词：Linear Multi-Step Method Step-Transition Operator B-SERIES Dahlquist（Conjugate） pair SYMPLECTICITY 
EXPANSION OF STEP-TRANSITION OPERATOR OF MULTI-STEP METHOD AND ITS APPLICATIONS (Ⅱ)
《Journal of Computational Mathematics》2002年第5期461-478,共18页Yi-fa Tang(State Key Laboratory of Scientific and Engineering Computing, ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China) 
This research is supported by Special Funds for Major State Basic Research Projects of China (No. G1999032801-10 and No. G1999032804); by the knowledge innovation program of the Chinese Academy of Sciences and a grant (No. 19801034) from National Natura
We give some formulae for calculation of the expansions for (1) composition of step-transition operators (STO) of any two difference schemes (DS) for ODE's, (2) inverse operator of STO of any DS, and (3) conjugate ope...
关键词：Step-transition operator EXPANSION COMPOSITION Inverse operator Conjugate operator. 
GENUINE-OPTIMAL CIRCULANT PRECONDITIONERS FOR WIENER-HOPF EQUATIONS
《Journal of Computational Mathematics》2001年第6期629-638,共10页Fu-rong Lin (Department of Mathematics, Shantou University, Shantou 515063,China) 
Supported in part by the natural science foundation of China No. 19901017.
Discusses the genuine-optimal circulant preconditioner for finite-section Wiener-Hopf equations. Definition of the genuine-optimal circulant preconditioner; Use of the preconditioned conjugate gradient method; Numeric...
关键词：Wiener-Hopf equations circulant preconditioner preconditioned conjugate gradient method quadrature rules Hilbert-Schmidt norm 
ON CONJUGATE SYMPLECTICITY OF MULTI-STEP METHODS被引量：2
《Journal of Computational Mathematics》2000年第4期431-438,共8页Yi-fa Tang (LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China) Dedicated to Feng Kang on his 80th birthday 
China State Major Key Project for Basic Researches;National Natural Science Foundation of China! (No. 19801034);Bureau of
In this paper, we solve a problem on the existence of conjugate symplecticity of linear multi-step methods (LMSM), the negative result is obtained. [ABSTRACT FROM AUTHOR]
关键词：conjugate symplecticity multi-step method 
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