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| 1 | A Two-Step Shape-Preserving Advection Scheme显示文摘This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upstream scheme and small dissipation error in the simple second-order Lax-Wendroff scheme and is completely different from most of present positive definite advection schemes which are based on revising the upstream scheme results. The proposed scheme is much less time consuming than present shape-preserving or non-oscillatory advection transport schemes and produces results which are comparable to the results obtained from the present more complicated schemes. Elementary tests are also presented to examine the behavior of the scheme. | 宇如聪 | 1994 | Advances in Atmospheric Sciences1994，11，4： | 43 |
| 2 | A REGULARIZED CONJUGATE GRADIENT METHOD FOR SYMMETRIC POSITIVE DEFINITE SYSTEM OF LINEAR EQUATIONS显示文摘AbstractA class of regularized conjugate gradient methods is presented for solving the large sparse system of linear equations of which the coefficient matrix is an ill-conditioned symmetric positive definite matrix. The convergence properties of these methods are discussed in depth, and the best possible choices of the parameters involved in the new methods are investigated in detail. Numerical computations show that the new methods are more efficient and robust than both classical relaxation methods and classical conjugate direction methods. | Zhong-zhi Bai Shao-liang Zhang | 2002 | Journal of Computational Mathematics2002，20，4： | 13 |
| 3 | The Harmonious Dissipative Operators and the Completely Square Conservative Difference Scheme in an Explicit Way显示文摘In this paper, a new definition on harmonious dissipative operators is given and some important properties of theirs are shown. Especially, the relationship between a harmonious dissipative operator and the completely square conservative difference scheme in an explicit way is revealed. Kinds of 2-order, 3-order and 4-order harmonious dissipative operators are constructed by using the traditional Runge-Kutta method and a species of general m-order harmonious dissipative operators is established in the linear case. In addition, an efficiency parameter to appraise the time benefits of a harmonious dissipative operator is defined in this paper. It is testified in numerical tests that the harmonious dissipative operators are indeed able to improve the time-efficiency and computational effect of the completely square conservative difference scheme in an explicit way. | 王斌 季仲贞 | 1994 | Science China Chemistry1994，37，4： | 11 |
| 4 | Necessary and sufficient conditions for normalization and sliding mode control of singular fractional-order systems with uncertainties显示文摘The sliding mode control(SMC) problem for a normalized singular fractional-order system(SFOS) with matched uncertainties was investigated. Firstly, SFOS was normalized under constrained conditions. Then, the linear sliding mode(SM) function was designed using a fractional-order(FO) positive definite matrix and a linear matrix inequality(LMI). The SM controller was subsequently constructed based on switching laws. Finally, the feasibility of the method was evaluated using a numerical example. | Bo MENG Xinhe WANG Ziye ZHANG Zhen WANG | 2020 | Science China(Information Sciences)2020，63，5： | 4 |
| 5 | EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS FOR A CLASS OF NONLINEAR AND NONAUTONOMY SYSTEM OF THREE ORDERS显示文摘Refs. [1] and [2] have explored the stability of the following nonlinear three-order systems. | 王荣良 | 1987 | Chinese Science Bulletin1987，32，16： | 1 |
| 6 | FUNDAMENTAL PARAMETER OF THE OPTIMUM EXCITATION CONDITIONS IN THE ANALYTICAL EMISSION SPECTROSCOPY——THE DIFFERENCE IN IONIZATION POTENTIAL BETWEEN THE MATRIX AND THE ANALYSIS ELEMENTS IN THE PLASMA显示文摘Ⅰ. INTRODUCTION The de carbon arc source is one of the fundamental sources used in analytical emission spectroscopy. Though during the past two decades many other new sources have been developed, the carbon arc source, due to its simplicity, suitabitity and sensitivity, is still being commonly used in numerous fields. By using this source in the analysis | 陈梅芳 | 1983 | Chinese Science Bulletin1983，28，2： | 1 |
| 7 | SDS-PAGE PROTEIN PATTERN AND ITS ANTIGENICITY ANALYSIS OF DIFFERENT ISOLATES OF SCHISTOSOMA JAPONICUM IN CHINA显示文摘Homogenates prepared from S. japonicum adult worms ofdifferent isolates from Anhui, Hubei, Guangxi, Yunnan andSichuan Provinces were analyzed by SDS-PAGE and enzymelinked immunoelectrotransfer blot (EITB) tested with rabbitanti-snails antibody. The results of SDS-PAGE indicated thatwith silver staining both male and female worms of Guangxiisolate showed some definite differences in their protein profile,namely, absence of one band between 50-75 kDa in maleworms and marked reduction in quantity of > 110 and 30 kDabands in female worms. There was no obvious differenceamong other isolates both in male and female worms. TheEITB patterns were similar in S. japonicum of Anhui andHubei, and it was also the case with isolates from Yunnan andSichuau, except that Yuunan female worms had a distinct | 薛海筹 裘丽姝 何毅勋 张永红 诸陈文 | 1994 | Chinese Medical Journal1994，，1： | 1 |
| 8 | Comment on 'Improvement of Controlled Bidirectional Quantum Direct Communication Using a GHZ State' [Chin. Phys. Lett. 30 (2013) 040305]显示文摘The problem of definite information leakage existing in the controlled bidirectional quantum direct communication protocol using GHZ states[Chin.Phys.Lett.23(2006)1680]was pointed out by Ye and Jiang[Chin.Phys.Lett.30(2013)040305].Then,they proposed two strategies to improve this security bug.However,if the revised versions are analyzed from the viewpoint of information theory,it can be found that they still have the problem of information leakage.That is,three quarters and one half of the information interchanged by the communication parties are leaked out unknowingly in the first and second revised protocols,respectively. | 刘志昊 陈汉武 | 2013 | Chinese Physics Letters2013，30，7： | 1 |
| 9 | THE ONE-SIDED HANDAMARD PRINCIPAL VALUE FOR SINGULAR-INTEGRALS OF HIGH ORDER AND ITS APPLICATIONS显示文摘0 IntroductionLet L = ab be a non-closed smooth arc oriented from a to b, t∈ L, t≠a,b, be the fixed point, andf(t) ∈H. (L) . The usual Hadamard principal value is defined asAbout properties and applications of singular integals of high order were investigated by many authors([1],[2],[3] etc. ) In 1987, the concepts of Hadamard principal value at one-side for singular integralsof high order and the rules of their differentiation are introduced [4]. In this paper we established the rulesof substitution of variable for one-sided Hadamard principal value of singular integrals of high order, andthen, we gave some applications in evaluation of real definite integrals. | 李鸿振 | 1991 | 四川师范大学学报(自然科学版)1991，14，1： | 1 |
| 10 | A CLASS OF NEW PARALLEL HYBRID ALGEBRAIC MULTILEVEL ITERATIONS显示文摘For the large sparse system of linear equations with symmetric positive definite block coefficient matrix resulted from suitable finite element discretization of the second-order self-adjoint elliptic boundary value problem, by making use of the algebraic multilevel iteration technique and the blocked preconditioning strategy, we construct preconditioning matrices having parallel computing function for the coefficient matrix and set up a class of parallel hybrid algebraic multilevel iteration methods for solving this kind of system of linear equations. Theoretical analyses show that, besides much suitable for implementing on the high-speed parallel multiprocessor systems, these new methods are optimal-order methods. That is to say, their convergence rates are independent of both the sizes and the levels of the constructed matrix sequence, and their computational workloads are bounded by linear functions in the order number of the considered system of linear equations, | Zhong-zhi Bai (LSEC ICMSEC, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China) | 2001 | Journal of Computational Mathematics2001，19，6： | 1 |
| 11 | A study of insight and its relative factors in schizophrenia.显示文摘Objective: To determine the clinical value of the insight and its relative factors in schizophrenic patients. Methods: The insight, the brief psychiatric rating scale (BPRS), the scale for the assessment of negative symptoms (SANS), the scale for the assessment | GAN Jingli, et al. Ment Health Center, 160th Hosp, Jinan Command, Jiaozhuo, 454003 | 1997 | China Medical Abstracts(Internal Medicine)1997，14，2： | 1 |
| 12 | Variational construction of unbounded orbits in Lagrangian systems显示文摘We show the existence of unbounded orbits in perturbations of generic geodesic flow in T2 by a generic periodic potential. Different from previous work such as in Mather (1997), the initial values of the orbits obtained here are not required sufficiently large. | CHENG Chong-Qing 1, & LI Xia 2 1 Department of Mathematics, Nanjing University, Nanjing 210093, China 2 Department of Mathematics, Suzhou University of Science and Technology, Suzhou 215001, China | 2010 | Science China Mathematics2010，53，3： | 1 |
| 13 | A NEW RESULT ON SOLUTION OF THE MATRIX EQUATION A^TB+BA=-C ABOUT THE PARTIAL STABILITY显示文摘Consider Lyapunov matrix equation ATB + BA=—C, (1) where A, B, C∈Rn×n, BT=B, CT=C. If the eigenvalues of A do not | 黄力民 | 1988 | Chinese Science Bulletin1988，33，23： | 1 |
| 14 | ON THE CONVERGENCE OF THE RELAXATION METHODS FOR POSITIVE DEFINITE LINEAR SYSTEMS显示文摘We establish the convergence theories of the symmetric relaxation methods for the system of linear equations with symmetric positive definite coefficient matrix,and more generally, those of the unsymmetric relaxation methods for the system of linear equations with positive definite matrix. | Bai, ZZ Huang, TZ | 1998 | Journal of Computational Mathematics1998，16，6： | 1 |
| 15 | 一类非线性互补问题的模系矩阵分裂Two-sweep方法显示文摘1引言机械工程中的障碍问题、力学中的接触问题、塑性定律问题,经济学中商品供应链,经济均衡问题等,都可以归为互补问题.因此,研究求解互补问题的有效算法很有意义。 | 李郴良 孙芳莉 黄杰彬 | 2019 | 高等学校计算数学学报2019，41，3： | 1 |
| 16 | Application of gradient descent algorithms based on geodesic distances显示文摘In this paper, the Riemannian gradient algorithm and the natural gradient algorithm are applied to solve descent direction problems on the manifold of positive definite Hermitian matrices, where the geodesic distance is considered as the objective function. The first proposed problem is the control for positive definite Hermitian matrix systems whose outputs only depend on their inputs. The geodesic distance is adopted as the difference of the output matrix and the target matrix. The controller to adjust the input is obtained such that the output matrix is as close as possible to the target matrix. We show the trajectory of the control input on the manifold using the Riemannian gradient algorithm. The second application is to compute the Karcher mean of a finite set of given Toeplitz positive definite Hermitian matrices, which is defined as the minimizer of the sum of geodesic distances. To obtain more efficient iterative algorithm than traditional ones, a natural gradient algorithm is proposed to compute the Karcher mean. Illustrative simulations are provided to show the computational behavior of the proposed algorithms. | Xiaomin DUAN Huafei SUN Linyu PENG | 2020 | Science China(Information Sciences)2020，63，5： | 1 |
| 17 | THE THERAPEUTIC EFFECTS OF LIFTING-TWIRLING MANEUVER IN ACUPUNCTURE TREATMENT OF FACIAL PARALYTIC SEQUELAE显示文摘Facial paralytic sequelae refer to the old peripheral facial paralysis. No definite duration is defined, but the paralysis lasting more than 3-6 months is generally considered as the sequelae. The authors of this report think that the causes of the sequelae are various: the treatment may be not in time or not appropriate, or due to the disease situation itself | 李玲 陈建新 施土生 | 1997 | Journal of Traditional Chinese Medicine1997，17，3： | 1 |
| 18 | THE FIRST VARIATIONAL FORMULA OF THE KILLING INVARIANT AND e-MINIMAL SUBMANIFOLD显示文摘Recently, Prof. Wu Guanglei and Chen Weihuan obtained the first variational formula of the Killing invariant of a submanifold in the Euclidean space, which is a generalization of the classical formula for the first variation of the volume. In this note, we extend their formula to a submanifold in the Riemannian manifold, and study further the e-minimal submanifold. Especially, we study the e-minimal submanifold of a sphere with second fundamental form of constant length, and extend the result of S. S. Chern, M. Do. Carmo and S. Kobayashi’s. | 李安民 | 1984 | Chinese Science Bulletin1984，29，3： | 1 |
| 19 | Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations显示文摘Image restoration is often solved by minimizing an energy function consisting of a data-fidelity term and a regularization term. A regularized convex term can usually preserve the image edges well in the restored image. In this paper, we consider a class of convex and edge-preserving regularization functions, I.e., multiplicative half-quadratic regularizations, and we use the Newton method to solve the correspondingly reduced systems of nonlinear equations. At each Newton iterate, the preconditioned conjugate gradient method, incorporated with a constraint preconditioner, is employed to solve the structured Newton equation that has a symmetric positive definite coefficient matrix.The igenvalue bounds of the preconditioned matrix are deliberately derived, which can be used to estimate the convergence speed of the preconditioned conjugate gradient method. We use experimental results to demonstrate that this new approach is efficient,and the effect of image restoration is r0easonably well. | Michael K.Ng | 2010 | Numerical Mathematics(Theory,Methods and Applications)2010，3，4： | 1 |
| 20 | SOME PROBLEMS FOR LINEAR ELASTIC SYSTEMS WITH DAMPING显示文摘In the present paper we investigate linear elastic systems with damping in Hilbert spaces, where A and B ars unbounded positive definite linear operators. We have obtained the most fundamental results for the holomorphic property and exponential stability of the semigroups associated with these systems via inclusion relation of the domains of A and B. | 黄发伦 | 1990 | Acta Mathematica Scientia1990，10，3： | 1 |
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