|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations on Anisotropic Meshes显示文摘The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the anisotropic meshes. The superclose property of the exact solution and the optimal error estimate of its derivative with respect to time are derived by using some novel techniques. Moreover, employing a postprocessing technique, the global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is studied. | Dongyang Shi Yucheng Peng Shaochun Chen | 2006 | Numerical Mathematics A Journal of Chinese Universities(English Series)2006，15，4： | 21 |
| 2 | A Globally Convergent Polak-Ribiere-Polyak Conjugate Gradient Method with Armijo-Type Line Search显示文摘In this paper, we propose a globally convergent Polak-Ribiere-Polyak (PRP) conjugate gradient method for nonconvex minimization of differentiable functions by employing an Armijo-type line search which is simpler and less demanding than those defined in [4,10]. A favorite property of this method is that we can choose the initial stepsize as the one-dimensional minimizer of a quadratic modelΦ(t):= f(xk)+tgkTdk+(1/2) t2dkTQkdk, where Qk is a positive definite matrix that carries some second order information of the objective function f. So, this line search may make the stepsize tk more easily accepted. Preliminary numerical results show that this method is efficient. | Gaohang Yu Lutai Guan Zengxin Wei | 2006 | Numerical Mathematics A Journal of Chinese Universities(English Series)2006，15，4： | 11 |
| 3 | A Nonconforming Arbitrary Quadrilateral Finite Element Method for Approximating Maxwell's Equations显示文摘The main aim of this paper is to provide convergence analysis of Quasi-Wilson nonconforming finite element to Maxwell's equations under arbitrary quadrilateral meshes.The error estimates are derived,which are the same as those for conforming elements under conventional regular meshes. | Dongyang Shi Lifang Pei Shaochun Chen | 2007 | Numerical Mathematics A Journal of Chinese Universities(English Series)2007，16，4： | 9 |
| 4 | GENERALIZED MATRIX MULTISPLITTING RELAXATION METHODS AND THEIR CONVERGENCE显示文摘In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix. | 白中治 王德人 | 1993 | Numerical Mathematics A Journal of Chinese Universities(English Series)1993，2，1： | 8 |
| 5 | COMPUTATION OF VECTOR VALUED BLENDING RATIONAL INTERPOLANTS显示文摘As we know, Newton's interpolation polynomial is based on divided differ-ences which can be calculated recursively by the divided-difference scheme while Thiele'sinterpolating continued fractions are geared towards determining a rational functionwhich can also be calculated recursively by so-called inverse differences. In this paper,both Newton's interpolation polynomial and Thiele's interpolating continued fractionsare incorporated to yield a kind of bivariate vector valued blending rational interpolantsby means of the Samelson inverse. Blending differences are introduced to calculate theblending rational interpolants recursively, algorithm and matrix-valued case are dis-cussed and a numerical example is given to illustrate the efficiency of the algorithm. | 檀结庆 | 2003 | Numerical Mathematics A Journal of Chinese Universities(English Series)2003，12，1： | 8 |
| 6 | A CONDITIONAL STABILITY FOR AN INVERSE PROBLEM ARISING IN GROUNDWATER POLLUTION显示文摘An inverse problem of determining magnitude of groundwater pollution in a hydrologic region is investigated. By applying integral identity methods, a conditional stability for the inverse problem here is constructed with aids of an optimal adjoint problem and a suitable topology. | 李功胜 谭永基 | 2005 | Numerical Mathematics A Journal of Chinese Universities(English Series)2005，14，3： | 7 |
| 7 | A New Homotopy Method for Nonlinear Complementarity Problems显示文摘In this paper, we present a new homotopy method for the nonlinear complementarity problems. Without the regularity or non-singulary assumptions for▽F(x), we prove that our homotopy equations have a bounded solution curve. The numerical tests confirm the efficiency of our proposed method. | Jundi Ding Hongyou Yin | 2007 | Numerical Mathematics A Journal of Chinese Universities(English Series)2007，16，2： | 6 |
| 8 | THE FINITE DIFFERENCE STREAMLINE DIFFUSION METHODS FOR TIME-DEPENDENT CONVECTION-DIFFUSION EQUATIONS显示文摘In this paper, two finite difference streamline diffusion (FDSD) schemes for solving two-dimensional time-dependent convection-diffusion equations are constructed. Stability and optimal order error estimati-ions for considered schemes are derived in the norm stronger than L^2-norm. | 孙澈 沈慧 | 1998 | Numerical Mathematics A Journal of Chinese Universities(English Series)1998，7，1： | 6 |
| 9 | BIVARIATE VECTOR VALUED RATIONAL INTERPOLANTS BY BRANCHED CONTINUED FRACTIONS显示文摘By making use of Thiele-type bivariate branched continued fractions and Sumelson inverse,we construct a few kinds of bivariate vector valued rational interpolonts (BVRIs) over rectangular grids and find out certain relations among these BVRIs such as boundary identity and duality. | 檀结庆 朱功勤 | 1995 | Numerical Mathematics A Journal of Chinese Universities(English Series)1995，4，1： | 5 |
| 10 | PARAMETER IDENTIFICATION PROBLEM OF THE FRACTAL INTERPOLATION FUNCTIONS显示文摘Parameter identification problem is one of essential problem in order to model effectively experimental data by fractal interpolation function.In this paper,we first present an example to explain a relationship between iteration procedure and fractal function.Then we discuss conditions that vertical scaling factors must obey in one typical case. | 阮火军 沙震 苏维宜 | 2003 | Numerical Mathematics A Journal of Chinese Universities(English Series)2003，12，2： | 4 |
| 11 | ON THE CHOICES OF ACCELERATING CONVERGENCE FACTORS FOR LIMIT PERIODIC CONTINUED FRACTION K(an/1)显示文摘There are many accelerating convergence factors (ACFs) for limit periodic continued fraction K(an/1)(an→a≠0). In this paper, some characteristics and comparative theorems are ob tained on ACFs. Two results are given for most frequently used ACFs. | 唐烁 檀结庆 朱功勤 | 1996 | Numerical Mathematics A Journal of Chinese Universities(English Series)1996，5，1： | 4 |
| 12 | Numerical Solution for the Helmholtz Equation with Mixed Boundary Condition显示文摘We consider the numerical solution for the Helmholtz equation in R^2 with mixed boundary conditions.The solvability of this mixed boundary value problem is estab- lished by the boundary integral equation method.Based on the Green formula,we express the solution in terms of the boundary data.The key to the numerical real- ization of this method is the computation of weakly singular integrals.Numerical performances show the validity and feasibility of our method.The numerical schemes proposed in this paper have been applied in the realization of probe method for inverse scattering problems. | Haibing Wang Jijun Liu | 2007 | Numerical Mathematics A Journal of Chinese Universities(English Series)2007，16，3： | 4 |
| 13 | TWO ALGORITHMS FOR SYMMETRIC LINEAR SYSTEMS WITH MULTIPLE RIGHT-HAND SIDES显示文摘In this paper, we investigate the block Lanczos algorithm for solving large sparse symmetric linear systems with multiple right-hand sides, and show how to incorporate deflation to drop converged linear systems using a natural convergence criterion, and present an adaptive block Lanczos algorithm. We propose also a block version of Paige and Saunders’ MINRES method for iterative solution of symmetric linear systems, and describe important implementation details. We establish a relationship between the block Lanczos algorithm and block MINRES algorithm, and compare the numerical performance of the Lanczos algorithm and MINRES method for symmetric linear systems applied to a sequence of right hand sides with that of the block Lanczos algorithm and block MINRES algorithm for multiple linear systems simultaneously.[WT5,5”HZ] | 戴华 | 2000 | Numerical Mathematics A Journal of Chinese Universities(English Series)2000，9，1： | 4 |
| 14 | A Filter-Based Pattern Search Method for Unconstrained Optimization显示文摘We discuss a filter-based pattern search method for unconstrained optimization in this paper. For the purpose to broaden the search range we use both filter technique and frames, which are fragments of grids, to provide a new criterion of iterate acceptance. The convergence can be ensured under some conditions. The numerical result shows that this method is practical and efficient. | Ting Wu Linping Sun | 2006 | Numerical Mathematics A Journal of Chinese Universities(English Series)2006，15，3： | 4 |
| 15 | HIGH ACCURACY FINITE VOLUME ELEMENT METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS显示文摘In this paper, a high accuracy finite volume element method is presented for two-point boundary value problem of second order ordinary differential equation, which differs from the high order generalized difference methods. It is proved that the method has optimal order error estimate O(h3) in H1 norm. Finally, two examples show that the method is effective. | Wang Tongke(王同科) | 2002 | Numerical Mathematics A Journal of Chinese Universities(English Series)2002，11，2： | 4 |
| 16 | IMinpert:An Incomplete Minimum Perturbation Algorithm for Large Unsymmetric Linear Systems显示文摘This paper gives the truncated version of the Minpert method:the incomplete minimum perturbation algorithm(IMinpert).It is based on an incomplete orthogonal- ization of the Krylov vectors in question,and gives a quasi-minimum backward error solution over the Krylov subspace.In order to make the practical implementation of IMinpert easy and convenient,we give another approximate version of the IMinpert method:A-IMinpert.Theoretical properties of the latter algorithm are discussed.Nu- merical experiments are reported to show the proposed method is effective in practice and is competitive with the Minpert algorithm. | Lei Sun Xiaohong Wang Yong Guan | 2007 | Numerical Mathematics A Journal of Chinese Universities(English Series)2007，16，4： | 4 |
| 17 | MULTILEVEL AUGMENTATION METHODS FOR SOLVING OPERATOR EQUATIONS显示文摘We introduce multilevel augmentation methods for solving operator equations based on direct sum decompositions of the range space of the operator and the solution space of the operator equation and a matrix splitting scheme. We establish a general setting for the analysis of these methods, showing that the methods yield approximate solutions of the same convergence order as the best approximation from the subspace. These augmentation methods allow us to develop fast, accurate and stable nonconventional numerical algorithms for solving operator equations. In particular, for second kind equations, special splitting techniques are proposed to develop such algorithms. These algorithms are then applied to solve the linear systems resulting from matrix compression schemes using wavelet-like functions for solving Fredholm integral equations of the second kind. For this special case, a complete analysis for computational complexity and convergence order is presented. Numerical examples are included to demonstrate the efficiency and accuracy of the methods. In these examples we use the proposed augmentation method to solve large scale linear systems resulting from the recently developed wavelet Galerkin methods and fast collocation methods applied to integral equations of the secondkind. Our numerical results confirm that this augmentation method is particularly efficient for solving large scale linear systems induced from wavelet compression schemes. | 陈仲英 巫斌 许跃生 | 2005 | Numerical Mathematics A Journal of Chinese Universities(English Series)2005，14，1： | 4 |
| 18 | THE SYMMETRIC AND SYMMETRIC POSITIVE SEMIDEFINITE SOLUTIONS OF LINEAR MATRIX EQUATION——B^TXB = D ON LINEAR MANIFOLDS显示文摘This paper discusses the solutions of the linear matrix equation BT X B=Don some linear manifolds.Some necessary and sufficient conditions for the existenceof the solution and the expression of the general solution are given.And also someoptimal approximation solutions are discussed. | 邓远北 胡锡炎 张磊 | 2003 | Numerical Mathematics A Journal of Chinese Universities(English Series)2003，12，2： | 4 |
| 19 | ON THE MONOTONE CONVERGENCE OF THE PROJECTED ITERATION METHODS FOR LINEAR COMPLEMENTARITY PROBLEMS显示文摘Under suitable conditions,the monotone convergence about the projected iteration method for solving linear complementarity problem is proved and the influence of the involved parameter matrix on the convergence rate of this method is investigated. | 白中治 | 1996 | Numerical Mathematics A Journal of Chinese Universities(English Series)1996，5，2： | 3 |
| 20 | ON A FAMILY OF CHEBYSHEV-HALLEY TYPE METHODS IN BANACH SPACE UNDER WEAKER SMALE CONDITION显示文摘In this paper, we discuss local convergence of a family of Chebychev Halley type methods with a parameter θ∈[0,1] in Banach space using Smale type δ criterion under 2 th γ condition. We will see that the properties of the condition used for local convergence is much more different from that used in [6][15] for the semi-local convergence. | 黄正达 | 2000 | Numerical Mathematics A Journal of Chinese Universities(English Series)2000，9，1： | 3 |
您所在的机构暂未开通此部分的功能，请联系管理员