中国科学院数学与系统科学研究院期刊网

数值计算与计算机应用 2001年 22卷

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1. 带限数字信号多分辨率逼近的计算
谢宏,牛东晓,陈志业
数值计算与计算机应用    2001, 22 (1): 1-8.   DOI: 10.12288/szjs.2001.1.1
摘要767)      PDF(pc) (222KB)(248)    收藏
In the wavelet analysis of a signal, if we represent a digital signal in some resolution sampling space, we can use Mallet's algorithm to decompose the digital signal into wavelet components of varingresolution and a vague lowpass spectrum component. In this paper, we discuss a general algorithm of the digital signal representation in some resolution sampling space based on Shannon's sampling theorem, and give the method of how to control the approximating error by choosing the sampling rate. At the end of the paper we offer two computing examples.
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2. SMW算法和DAC算法的并行实现及分析
李娜,大用
数值计算与计算机应用    2001, 22 (1): 9-21.   DOI: 10.12288/szjs.2001.1.9
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A modified form of parallel algorithm for solving tridiagonal linear equations is proposed, which is based on the Sherman-Morrison-Woodbury Formula , and suitable for parallel implementation easily. The detail of SMW algorithm is described. This algorithm is compared with DAC(Divide and Conquer) method in both theoretical and practical effect. Both algorithms are tested in parallel ma- chine IBM-SP2 with MPI-C language. The numerical tests show that the speedup and efficiency of DAC method are higher than SMW algorithm. But the communication amount of the latter is very small and SMW algorithm is better than DAC method in numerical stability.
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被引次数: Baidu(3)
3. 分区计算问题的并行设计
袁国兴,杨朝霞,莫则尧
数值计算与计算机应用    2001, 22 (1): 22-28.   DOI: 10.12288/szjs.2001.1.22
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This paper presented two efficient parallel strategies for domain splitting method arising from the 2-dimensional multiple matters computational fluid dynamics.
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4. 线性系统的并行计算格式和频率响应分析
费景高
数值计算与计算机应用    2001, 22 (1): 29-42.   DOI: 10.12288/szjs.2001.1.29
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The parallel computation schemes are presented for the simulation model of the linear constant-coefficient subsystem in the application of the combination methods. For the simulation model and the related digital net, the formulas of the frequency response to the complex exponential inputs are derived.
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5. 一致高精度 KFVS方法用于多分量流的计算
汤华中,邬华谟
数值计算与计算机应用    2001, 22 (1): 43-52.   DOI: 10.12288/szjs.2001.1.43
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This paper is to study extension of high resolution kinetic flux-vector splitting (KFVS) methods. In this new method, two Maxwellians are first introduced to recover the Euler equations with an additional conservative equation. Next, based on the well-known connection between the Euler equations and Boltzmann equations, a class of high resolution KFVS methods are presented to solve numerically multicomponent flows. Our method does not solve any Riemann problems, and add any nonconservative corrections. The numerical results are also presented to show the accuracy and robustness of our methods. These include one-dimensional shock tube problem, and two-dimensional interface motion in compressible flows. The computed solutions are oscillation-free near material fronts, and produce correct shock speeds.
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被引次数: Baidu(3)
6. 非线性等式与不等式问题的信赖域算法
童小娇,周叔子
数值计算与计算机应用    2001, 22 (1): 53-62.   DOI: 10.12288/szjs.2001.1.53
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This paper presents a trust region algorithm for nonlinear problems of equalities and inequalities. The problem is changed to a least-squares problem with non-negative constraints by using slack variables. An equivalent KKT condition is derived, which is the base of constracting the new algorithm. The global conver- gence is established under general conditions, and a local quadratic convergence is proved for nondegenerate point satisfying second-order sufficient conditions. Numerical tests for our algorithm are also presented.
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被引次数: Baidu(10)
7. 一个m维整数瓶颈运输问题及其算法
罗宗俊
数值计算与计算机应用    2001, 22 (1): 63-70.   DOI: 10.12288/szjs.2001.1.63
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In this paper we discuss the following mathematical model I: where f(x) =, ai and bj(i = 1,2,...,m;j = 1, 2,…,n) are nonnegative integers satisfying The decision theorems for the optimal solutions to model I are given. Besides, a procedure of the algorithm is established for finding an optimal solution to model I. At last, a typical example is listed.
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8. 关于非对称线性方程组的新迭代算法
李文军
数值计算与计算机应用    2001, 22 (1): 71-80.   DOI: 10.12288/szjs.2001.1.71
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In this paper,we present a kind of pre-symmetrizers for the nonsymmetric linear systems arising from the discretization of nonself-adjoint second order scalar elliptic equation.Based on combination these pre-symmetrizers with CG method, the new algorithm, LRSCG algorithm, is presented.The numerical results show that the LRSCG algorithm is better than BiCG, CGS, BiCGSTAB, GMRES, QMR and SGMRES methods for thses nonsymmetric linear systems.
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被引次数: Baidu(25) CSCD(3)
9. 给定两端点及端点处切方向和曲率的空间Bezier曲线的插值问题
徐良宏,孟勇,陈铁
数值计算与计算机应用    2001, 22 (2): 81-86.   DOI: 10.12288/szjs.2001.2.81
摘要966)      收藏
We construct a space cubic Bener curve for given two end points, tangent directions and curvatures. The result is such curves exist but not unique. The effect which computational error has on the Bener curves is considered and we point out that the interpolant is 4-th order accurate. We also consider how to select a better curve in some sense from the obtained Bener curves.
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被引次数: Baidu(13) CSCD(4)
10. MM4数值模式在曙光1000机上的并行化
李国杰,李柏,翟武全,赵建勇,陈国良
数值计算与计算机应用    2001, 22 (2): 87-96.   DOI: 10.12288/szjs.2001.2.87
摘要793)      PDF(pc) (447KB)(264)    收藏
In the light of the function and characteristics of the Dawning-1000 paral- lel computer made in China, we designed the parallel calculation scheme of the MM4 mesoscale numerical model. Because of the technological processing and meticulously remaking of the data organization and program flow of the sequential program, it reaches reliable calculation results and the SPEEDUP ratio rises obviously at last. When sixteen processing nodes are used, the SPEEDUP ratio reaches 1:6.7. In finite region, the model needs only less than 30 minutes to integrate 36 hours, and the operational parallel calculation environment for application of MM4 mesoscale model is preliminarily set up.
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被引次数: Baidu(1)
11. 计算微分代数系统的实时仿真算法
罗新龙,刘德贵
数值计算与计算机应用    2001, 22 (2): 97-105.   DOI: 10.12288/szjs.2001.2.97
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Differential-algebraic equations (DAE's) arise naturally in many applied fields, but numerical and analytical difficulties that have not appeared in ordinary differential equations (ODE's) occur in DAE's because it includes algebraic constrained equations. Some efficient numerical methods for ODE's can not work well for DAE's. So many eminent numerical analysis scholars are interested in this field recently. But few numerical methods are able to solve all DAE's because of its essential difficulties. This paper discusses the simulation algorithm character of DAE's. And we construct an efficient constrained-algebraic algorithm based on the Runge-Kutta methods of order two for the semi-explicit differential-algebraic equations with index two and give the computational experiment results for specific examples. The experiment results indicate that the constrained-algebraic algorithm is high efficient for semi-explicit differential-algebraic equations with index two.
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12. 无约束优化的两类变参数共轭梯度法
刘陶文
数值计算与计算机应用    2001, 22 (2): 106-112.   DOI: 10.12288/szjs.2001.2.106
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In this paper, author presents a class of conjugate gradient methods with four parameters in the choice of the scalarβk, and the b-subclass and the p-class of these methods are first improved, then two class of conjugate gradient methods with a variable parameter are obtained and it is shown that these two class of conjugate gradient methods are both descent methods and of global convergence when steplengths satisfy general Wolfe condition.
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被引次数: Baidu(2)
13. 一类半无穷优化问题的求解方法
孟香惠,李木桂,胡新生,周济,施保昌
数值计算与计算机应用    2001, 22 (2): 113-122.   DOI: 10.12288/szjs.2001.2.113
摘要775)      PDF(pc) (448KB)(365)    收藏
In this paper we present a class of nondifferentiable optimization problems: seim-infinite minimax problems which arise from engineering design. Two algorithms for solving the problems are constructed by combining the idea of discretion with the method for solving minimax problems, and the convergence of the algorithms is proved under weaker conditions. Numerical tests show that the algorithms are practical and effective.
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被引次数: Baidu(3)
14. 求解板材排料问题的新方法
陈锦昌,韩锷春
数值计算与计算机应用    2001, 22 (2): 123-129.   DOI: 10.12288/szjs.2001.2.123
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Starting with the substance of the cutting-stock problem, a new method to that problem is developed, that is, converting two-dimensional layout into onedimensional layout and converting overall optimal solution into local optimal solution to get the approximate overall optimal solution. The three problems in the method, the construction of blocks, the layout of the blocks on standard boards, the Check-ups on the straight cutting of the blocks and the automatic marking of the cutting size of blocks, are discussed in this paper.
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被引次数: Baidu(3) CSCD(1)
15. LAPACK的自动并行化工具研究
谢幸,李玉成
数值计算与计算机应用    2001, 22 (2): 130-133.   DOI: 10.12288/szjs.2001.2.130
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LAPACK (Linear Algebra PACKage) is a subroutine library for solving the most common problems in numerical linear algebra, designed to run efficiently on shared-memory vector and parallel processors. Only the general sequential code of LAPACK is available on INTERNET, the optimization of it on a special machine is very burdensome. To solve this problem, we develop an automatic parallelizing tool on SGI POWER Challenge, and it shows good results.
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被引次数: Baidu(3) CSCD(1)
16. 关于S_4~2(△_(mn)~((2)))插值与逼近
柯云泉
数值计算与计算机应用    2001, 22 (2): 134-148.   DOI: 10.12288/szjs.2001.2.134
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In this paper? we discussed the existence and uniqueness and approximation degree of interpolation splines by S: with the type - Ⅱ triangulations on rectangular.
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被引次数: Baidu(9) CSCD(2)
17. 一种基于同伦函数的迭代法──同伦迭代法
陈永,李立,张剑,严静
数值计算与计算机应用    2001, 22 (2): 149-155.   DOI: 10.12288/szjs.2001.2.149
摘要861)      PDF(pc) (408KB)(300)    收藏
Based on the homotopy function, a new iterative algorithm for solving nonlinear polynomial systems called homotopy iteration method has been developed. All solutions can be found easily without the need of choosing proper initial values. Compared to the homotopy continuation method, the solution process of the present method is much simplified, and the computation efficiency as well as the reliability for obtaining all solutions are also improved. Applicating the method to a number of problems coming from engineering, the results are satisfactory.
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被引次数: CSCD(3)
18. 一维抛物型方程的一个新的高精度显式差分格式
马明书
数值计算与计算机应用    2001, 22 (2): 156-160.   DOI: 10.12288/szjs.2001.2.156
摘要748)      PDF(pc) (170KB)(168)    收藏
This paper presents a branching stable explicit difference scheme for solving parabolic equation of one--dimension. The local truncation error for method is , stability condition is r<1/2.
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被引次数: Baidu(22) CSCD(4)
19. 多重样条小波与微分方程自适应正交配置算法
舒适,钟一兵,喻海元
数值计算与计算机应用    2001, 22 (3): 161-171.   DOI: 10.12288/szjs.2001.3.161
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In this paper, we construct the general odd degree semi-orthogonal multi-knots spline wavelets space with point value vanishing properties under energy inner product, and present two kinds of low order compactly supported spline wavelets. Then we get the inheritive fast adaptive spline interpolation scheme and the prop- erties of singularity detecting with waveltets. As a result, the adaptive spline wavelets orthogonal collocation methods for initial boundary value problems are obtained.
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被引次数: Baidu(11) CSCD(1)
20. LAPACK中的分块算法及其效果
李玉成
数值计算与计算机应用    2001, 22 (3): 172-180.   DOI: 10.12288/szjs.2001.3.172
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This paper shows two approaches to improve the performance of numeral al- gebra software by describing block algorithms in LAPACK. The block algorithms can make up higher level and more effcient BLAS programs. This paper further presents the relations between the effciency of the block algorithm and the size of block, and shows the relations relates to not only scale of algorithms and problems but also architectures and Characters of destination machines. Finally The paper gives the test results on Hitachi SR2201& SR8000.
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被引次数: Baidu(6) CSCD(1)
21. 一类混合MUSCL型E格式收敛性的研究
勇珩,戴嘉尊
数值计算与计算机应用    2001, 22 (3): 181-192.   DOI: 10.12288/szjs.2001.3.181
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In this paper, generalized from some monotone scheme, a class of MUSCL- Type finite difference E schemes is presented. It is proved to have second order accuracy both in space and time. And applying the theory of entropy measure- valued solution, we proved the family of approximate solutions converge to the unique entropy weak l∞ -solution. Based on the character in 1-D,the convergence to the unique entropy weak l∞ -solution is proved in 2-D. Finally, we performed numerical experiments with these schemes for system of Euler equations in both 1-D and 2-D, and the results showed that these schemes had high resolution ability for shocks, rarefactions and contact discontinuities.
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22. 迎风紧致格式与热流计算
朱庆勇,余怀忠,马延文,陶亮
数值计算与计算机应用    2001, 22 (3): 193-200.   DOI: 10.12288/szjs.2001.3.193
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The difference scheme for Navier-Stokes equations based on a third order up- wind compact scheme[1] is considered. To investigate this scheme, the viscous Burgers' equation is used. For the inviscid portion of the Navier-Stokes equa- tions the flux vectors are split by using Steger-Warming's flux vectors splitting technique[2].The flux vectors are approximated by using upwind compact scheme. Second order accurate difference approximation is used for the viscous portion. Obtained difference scheme is used to solve the heat transfer problems.
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被引次数: Baidu(15)
23. 综述:产生伪随机数的若干新方法
杨自强,魏公毅
数值计算与计算机应用    2001, 22 (3): 201-216.   DOI: 10.12288/szjs.2001.3.201
摘要904)      PDF(pc) (762KB)(453)    收藏
In the present paper, we give a review of pseudo-random number generators. The new methods and theory appearing in 1990's will be focused. This paper concerns with almost all kinds of generators such as the linear, nonlinear and in- versive congruential methods, Fibonacci and Tausworthe (or feedback shift regis- ter) sequences, add-with-carry and subtract-with-borrow methods, multiple prime generator and chaotic mapping, as well as the theory of combination of generators.
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被引次数: Baidu(151) CSCD(26)
24. 解Hamilton-Jacobi方程的无振荡局部加密方法
李祥贵,陈光南,江松
数值计算与计算机应用    2001, 22 (3): 217-224.   DOI: 10.12288/szjs.2001.3.217
摘要861)      PDF(pc) (367KB)(267)    收藏
In this paper, non-oscillatory numerical schemes with high order of accuracy are presented for solving Hamilton-Jacobi equations on structured meshes; An adaptive local refinement method is developed for local regions where solutions of Hamilton-Jacobi equations varies sharply. Numerical results illustrate that the non-oscillatory schemes are stable and the adaptive local refinement method im- proves the accuracy of numerical solutions and the resolution for discontinuity.
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被引次数: Baidu(4) CSCD(1)
25. 自变量选择及其并行算法
童丽,王正明,曾泳泓
数值计算与计算机应用    2001, 22 (3): 225-230.   DOI: 10.12288/szjs.2001.3.225
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This paper presents the Cp, criterion and a parallel algorithm with regard to the large-scale linear regression model. The scalability for the algorithm is analyzed. And the results for the algorithm on a group of computers are given. The quite good speed-up ratio is obtained.
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被引次数: Baidu(2)
26. 平面及空间区域渐变无结构网格的自动生成
田春松,胡健伟
数值计算与计算机应用    2001, 22 (3): 231-240.   DOI: 10.12288/szjs.2001.3.231
摘要814)      PDF(pc) (498KB)(337)    收藏
In this paper, a method is described for automatically generating graded un- structured triangular meshes in polygonal domain or tetrahedral meshes in poly- hedral region. For a given set of assigned nodes with the corresponding spacing values, the method will generate a distribution of well-placed nodes on boundary and in the interior of the domain and then give a graded mesh.
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被引次数: Baidu(6) CSCD(1)
27. 二维Helmholtz方程外问题基于自然边界归化的重叠型区域分解算法
贾祖朋,余德浩
数值计算与计算机应用    2001, 22 (3): 241-253.   DOI: 10.12288/szjs.2001.3.241
摘要815)      收藏
In this paper, based on the natural boundary reduction suggested by Feng and Yu, an overlapping domain decomposition method with its discretization is presented for the exterior problem of 2-D Helnilioltz equation. the convergence of the Schwarz alternating algorithm is studied. Some numerical results are given.
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被引次数: CSCD(7)
28. 循环三对角线性方程组的一种分布式并行算法
骆志刚,李晓梅
数值计算与计算机应用    2001, 22 (4): 254-261.   DOI: 10.12288/szjs.2001.4.254
摘要812)      PDF(pc) (286KB)(315)    收藏
A parallel solver for cyclic tridiagonal systems on distributed-memory multi- computers is presented. The complexity of the algorithm is analyzed. We prove that the processes will not break down if the cyclic tridiagonal systems' coefficient matrix is strictly diagonally dominant. The results of numerical experiments on a distributed-memory multicomputer YH3E show that the algorithm has a high parallel efficiency.
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29. 蒙特卡罗中子-光子输运程序MCNP的并行化
邓力,黄正丰,许海燕,王瑞宏
数值计算与计算机应用    2001, 22 (4): 262-266.   DOI: 10.12288/szjs.2001.4.262
摘要809)      PDF(pc) (188KB)(376)    收藏
The coupled neutron and photon transport Monte Carlo code MCNP (version 3B) has been realized the parallelization in PVM and MPI by modifying serial code. The results of sample problems prove the correction of code. The speedup increases linearly and the efficiencies are up to 98.5% relate to parallel code and up to 95.7% relate to serial code for 12-processor, respectively.
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被引次数: Baidu(21) CSCD(4)
30. Delaunay三角网格的一种快速生成法
邬吉明,沈隆钧,张景琳
数值计算与计算机应用    2001, 22 (4): 267-275.   DOI: 10.12288/szjs.2001.4.267
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Delaunay triangulation has been widely used in many fields such as compu- tational fluid dynamics, statistics, meteorology solid state physics, computational geometry and so on. Bowyer-Watson algorithm is a very popular one for generating Delaunay triangulation. In generating the Delaunay triangulation of a preassigned set of n points, the complexity of Bowyer-Watson algorithm can at most be reduced to O(n log n) for the simple reason that the complexity of its tree search process is O(nlog n). In this paper we suggest a tree search technique whose complexity is O(n). Noting that the order of point insertion can affect the efficiency of Bowyer- Watson algorithm, we propose a technique to optimize the point insertion process. Based on these two techniques, we obtain a fast algorithm for generating Delaunay triangulation.
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被引次数: Baidu(88) CSCD(10)
31. 参数曲线近似弧长参数化方法
方逵,邱建雄,孙星明
数值计算与计算机应用    2001, 22 (4): 276-280.   DOI: 10.12288/szjs.2001.4.276
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This paper presents a methofor nearlarc-length parameterization based on the rational quadratic function. The arc-length function of parametric curve is mon- tonic increasing, the monotonity preserving approximating function based on ratio- nal quadratic function for the axc-length function is derived. The resulting nearly arc-length parameterization curve interpolates a set of points of original curve, at each of the points, nearly arc-length parameterization curve is accurate. Finally, two examples illustrate that the metod is very efficient.
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被引次数: Baidu(14) CSCD(3)
32. Laplace变换的代数数值反演方法
戴煜
数值计算与计算机应用    2001, 22 (4): 281-285.   DOI: 10.12288/szjs.2001.4.281
摘要794)      PDF(pc) (145KB)(394)    收藏
This is a paper formulated numerical inversion of Laplace transform with alge-bra method. The formulation is simple for calculation and has the form of Gauss numerical integration. It is a practical numerical inversion with high exactitude which can be applied for extensive use.
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被引次数: Baidu(8)
33. 一类长周期的伪随机数序列
皮新明
数值计算与计算机应用    2001, 22 (4): 286-292.   DOI: 10.12288/szjs.2001.4.286
摘要789)      PDF(pc) (275KB)(342)    收藏
This paper deals with the period T of pseudorandom number sequence gener- ated by subtract- with borrow (SWB ). For the selected base b,legs r > s it is shown that T is dependent only on b, r and s and equal to the order of b with respect to m = br- bs + 1 provided that m and A, which is determined by initial values x1,s''' ,xr and initial borrow value cr+1, are coprime. For b = 231-1 this paper searches the field 0 < r ≤ 300, r-s ≤ 10 and finds out all the pairs of (r, s) for which m is prime. In addition, the periods of SWB corresponding to b = 231-1 and these pairs (r, s) are aIso calculated. Besed on data obtained, generators of SWB with extremely long period could be designed.
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被引次数: Baidu(10) CSCD(3)
34. 三维数值网格的生成及应用
谷正气,吴军,姜乐华,罗煜峰
数值计算与计算机应用    2001, 22 (4): 293-299.   DOI: 10.12288/szjs.2001.4.293
摘要851)      PDF(pc) (312KB)(280)    收藏
The paper describes how to generate three-dimensional numerical grid by the elliptic equation method in detail. Then we put this method into the grid gener-ation of the automotive external flow. The result of aerodynamic analysis by the grid meets the experiment and verifies the efficiency of our method.
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被引次数: Baidu(10)
35. 基于岩体结构面统计模型和有限元应力场的滑移路径的搜索方法
单衍景,崔俊芝,梁复刚
数值计算与计算机应用    2001, 22 (4): 300-310.   DOI: 10.12288/szjs.2001.4.300
摘要853)      PDF(pc) (566KB)(404)    收藏
A searching method of slide path in the rock mass based on domain-divide statistics model of discontinuities and the rock mass stress field is presented in this paper. Firstly, producing method of statistics model of discontinuities and smoothing method of FEM stress field in the rock mass are described. Then the formulas of slide resistance reserve in specified oritentation and local location in the rock mass based on Einstein's theory and the rock mass stress field is developed. Finally, the concrete seaching method and some numerical results are shown.
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被引次数: Baidu(8)
36. 关于并行随机数发生器的若干算法
魏公毅,杨自强
数值计算与计算机应用    2001, 22 (4): 311-320.   DOI: 10.12288/szjs.2001.4.311
摘要2005)      PDF(pc) (504KB)(565)    收藏
The simulation on a distributed parallel computer system requires parallel ran- dom number generators. In this paper, four algorithms of parallel random number generators are introduced. They are segmented parallel algorithm and leapfrog par- allel algorithm of multiplicative congruential generator and generalized feedback shift register (GFSR) generator, parallel algorithm of lagged-Fibonacci generator,and parallel algorithm of combined generator.
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被引次数: Baidu(43) CSCD(4)