共查询到20条相似文献,搜索用时 46 毫秒
1.
We give an overview of the method of fixing blocks
introduced by Shelton. We apply the method to words which are
nonrepetitive up to mod k. 相似文献
2.
Dirk P. Kroese Reuven Y. Rubinstein Thomas Taimre 《Journal of Global Optimization》2007,37(1):137-157
We apply the cross-entropy (CE) method to problems in clustering and vector quantization. The CE algorithm for clustering involves the following iterative steps: (a) generate random clusters according to a specified parametric probability distribution, (b) update the parameters of this distribution according to the Kullback–Leibler cross-entropy. Through various numerical experiments, we demonstrate the high accuracy of the CE algorithm and show that it can generate near-optimal clusters for fairly large data sets. We compare the CE method with well-known clustering and vector quantization methods such as K-means, fuzzy K-means and linear vector quantization, and apply each method to benchmark and image analysis data. 相似文献
3.
I. I. Diyak 《Journal of Mathematical Sciences》1999,96(1):2847-2850
We propose a method of solving the two-dimensional problem of the theory of elasticity by a direct boundary-element method. We apply Galerkin's method with linear and quadratic approximations of the forces and displacements. We give the numerical results of solving a model problem that shows the effectiveness of the proposed approach.Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 3, 1997, pp. 60–63. 相似文献
4.
We propose a numerical-experimental method of determining the residual stresses in welded shells of revolution. We solve the
inverse conditionally correct problem of recovering the complete picture of the residual stress state from part of the experimental
values obtained by the method of photoelasticity. We apply the numerical spline-collocation method.
Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 149–151. 相似文献
5.
We present a method to estimate the L
2-discrepancy of symmetrisized point sets from above and from below with the help of Walsh series analysis. We apply the method
to a class of two-dimensional net-type point sets, thereby generalizing results of Halton and Zaremba and of Proinov. 相似文献
6.
A. A. Alekseichuk Yu. A. Kostandov L. Ya. Lokshina 《Journal of Mathematical Sciences》1996,82(3):3444-3446
We obtain the values of the stress intensity factor at the end of a stationary crack under dynamic load using a numerical
method. We compare the results with the existing experimental data. We establish that it is possible to apply the proposed
method to compute stationary cracks under dynamic load.
Translated fromDinamicheskie Sistemy, No. 13, 1994, pp. 61–65. 相似文献
7.
Lih-Ing W. Roeger Roger W. Barnard 《Journal of Difference Equations and Applications》2013,19(4):333-340
We apply the central difference method (u t+1 ? u t ? 1)/(2Δt) = f(u t ) to an epidemic SIR model and show how the local stability of the equilibria is changed after applying the numerical method. The above central difference scheme can be used as a numerical method to produce a discrete-time model that possesses interesting local dynamics which appears inconsistent with the continuous model. Any fixed point of a differential equation will become an unstable saddle node after applying this method. Two other implicitly defined central difference methods are also discussed here. These two methods are more efficient for preserving the local stability of the fixed points for the continuous models. We apply conformal mapping theory in complex analysis to verify the local stability results. 相似文献
8.
We present a method to estimate the L
2-discrepancy of symmetrisized point sets from above and from below with the help of Walsh series analysis. We apply the method
to a class of two-dimensional net-type point sets, thereby generalizing results of Halton and Zaremba and of Proinov.
(Received 14 September 2000) 相似文献
9.
Kevin Charles Jones Youngsoo Kim Andrea H. Mhoon Rekha Santhanam Barry J. Walker Daniel R. Grayson 《K-Theory》2004,32(2):181-191
We present a method for converting Theorem B style proofs in algebraic K-theory to Theorem A style proofs and apply it to the additivity theorem. 相似文献
10.
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of solutions of the Korteweg-de Vries
equation which are decaying perturbations of a quasi-periodic finite-gap background solution. We compute a nonlinear dispersion
relation and show that the x/t plane splits into g+1 soliton regions which are interlaced by g + 1 oscillatory regions, where g + 1 is the number of spectral gaps. 相似文献
11.
We give a geometric framework for analysing iterative methods on singular linear systems A x = b and apply them to Krylov subspace methods. The idea is to decompose the method into the ?(A) component and its orthogonal complement ?(A)?, where ?(A) is the range of A. We apply the framework to GMRES, GMRES(k) and GCR(k), and derive conditions for convergence without breakdown for inconsistent and consistent singular systems. The approach also gives a geometric interpretation and different proofs of the conditions obtained by Brown and Walker for GMRES. We also give examples arising in the finite difference discretization of two‐point boundary value problems of an ordinary differential equation. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
12.
We apply method of separation of the variables to q-analogs of several equations of mathematical physics.
Dedicated to Dick Askey on his 70th birthday.
2000 Mathematics Subject Classification Primary—33D45, 42C10; Secondary—33D15. 相似文献
13.
Masao Igarashi 《Applied Numerical Mathematics》1985,1(5):433-455
Consider the numerical solutions of a nonlinear equation f(x)=0. We apply Newton's and Newton's-like methods to solve the equation.First, we discuss the attainable correct digits for the approximated root. Second, we give a practical termination criterion and the method to estimate the accuracy of the obtained root. Some numerical examples are presented. 相似文献
14.
We suggest a method for selecting an L-simplex in an L-polyhedron of an n-lattice in Euclidean space. By taking into account the specific form of the condition that a simplex in the lattice is an L-simplex and by considering a simplex selected from an L-polyhedron, we present a new method for describing all types of L-polyhedra in lattices of given dimension n. We apply the method to deduce all types of L-polyhedra in n-dimensional lattices for n=2,3,4, which are already known from previous results. 相似文献
15.
《Mathematical Methods in the Applied Sciences》2018,41(14):5691-5710
We consider a 2 time scale nonlinear system of ordinary differential equations. The small parameter of the system is the ratio ϵ of the time scales. We search for an approximation involving only the slow time unknowns and valid uniformly for all times at order O(ϵ2). A classical approach to study these problems is Tikhonov's singular perturbation theorem. We develop an approach leading to a higher order approximation using the renormalization group (RG) method. We apply it in 2 steps. In the first step, we show that the RG method allows for approximation of the fast time variables by their RG expansion taken at the slow time unknowns. Next, we study the slow time equations, where the fast time unknowns are replaced by their RG expansion. This allows to rigorously show the second order uniform error estimate. Our result is a higher order extension of Hoppensteadt's work on the Tikhonov singular perturbation theorem for infinite times. The proposed procedure is suitable for problems from applications, and it is computationally less demanding than the classical Vasil'eva‐O'Malley expansion. We apply the developed method to a mathematical model of stem cell dynamics. 相似文献
16.
We prove some inequalities involving the eigenvalues of an nxn Hermitian matrix and the eigenvalues of the (n?1)x(n?1) principal submatrices. We apply this inequality to generalize a known result on the numerical range to the lth numerical range. The method used yields an elegant proof of the converse to the interlacing theorem, which we include. A counterexample to the quardratic spread inequality conjectured by R. C. Thompson is also given. 相似文献
17.
Jacek Świątkowski 《Geometriae Dedicata》2006,118(1):23-48
We develop a new method of proving that groups acting on various classes of spaces, with nontrivial stabilizers admitted, are automatic or biautomatic. We apply this method to buildings, CAT(0) cubical complexes, 6-systolic simplicial complexes and Cayley graphs of groups acted upon by other groups.Partially supported by the Polish State Committee for Scientific Research (KBN) grant 2 P03A 017 25. 相似文献
18.
Oscillation of delay differential equations on time scales 总被引:4,自引:0,他引:4
Consider the following equation:
, where t is in a measure chain. We apply the theory of measure chains to investigate the oscillation and nonoscillation of the above equation on the basis of some well-known results. And in some sense, we show a method to unify the delay differential equation and delay difference equation. 相似文献
19.
The empirical likelihood was introduced by Owen, although its idea originated from survival analysis in the context of estimating the survival probabilities given by Thomas and Grunkemeier. In this paper, we investigate how to apply the empirical likelihood method to a class of functionals of survival function in the presence of censoring. We define an adjusted empirical likelihood and show that it follows a chi-square distribution. Some simulation studies are presented to compare the empirical likelihood method with the Studentized-t method. These results indicate that the empirical likelihood method works better than or equally to the Studentized-t method, depending on the situations. 相似文献
20.
We present a general method for constructing stochastic processes with prescribed local form, encompassing examples such as
variable amplitude multifractional Brownian and multifractional α-stable processes. We apply the method to Poisson sums to construct multistable processes, that is, processes that are locally
α(t)-stable but where the stability index α(t) varies with t. In particular we construct multifractional multistable processes, where both the local self-similarity and stability indices
vary. 相似文献