numerical solution of systems of nonlinear algebraic equations

... to provide a rigorous enclosure of the solution of a numerical system. It is especially interesting for engineering in critical systems where the enclosure of a solution is more impor- tant than ... part. Mots-clefs : syst`emes hybrides, equations differentielles ordinaires, anal- yse par intervalles. References 1. Hansen, E. and Sengupta, S.: Bounding solutions of systems of equations using interval ... 56] e −1 0.36787944117144233 As we can see the IDSolve solution encloses the approximation of e −1 , whereas the approximation of the ODE solution by NDSolve is out of the range of the rigorous enclosure. Falling...

Ngày tải lên: 12/01/2014, 22:20

... the Solution of Linear Parabolic Problems, Applied Mathematics Research Express No. 4 (2005) 117. [5] R.D. da Cunha, T.R. Hopkins, Parallel Over Relaxation Algorithms for Systems of Linear Equations, ... 263. VNU Journal of Science, Mathematics - Physics 23 (2007) 201-209 Fully parallel methods for a class of linear partial differential -algebraic equations Vu Tien Dung ∗ Department of Mathematics, ... (PDAE), nonnegative pencil of matrices, parallel method 1. Introduction Recently there has been a growing interest in the analysis and numerical solution of PDAEs because of their importance in various...

Ngày tải lên: 13/02/2014, 03:20

... structure of solutions of 1.1 as follows. Theorem 1.1. The rule for the trajectory structure of any solution of 1.1 is as follows: i the solution is either eventually trivial, ii or the solution ... solutions of 1.1 with x −3 , x −2 ,x −1 , x 0 ∈ 1, ∞,which must be eventually positive. There are not eventually negative nonoscillatory solutions of 1.1 . Proof. Consider a solution of ... kind of typical nonlinear difference equations, is always a subject studied in recent years. Especially, some prototypes for the development of the basic theory of the global behavior of nonlinear...

Ngày tải lên: 22/06/2014, 06:20

... been an increasing interest in the study of qualitative analysis of rational difference equations and systems of difference equations. Although difference equations are very simple in form, it is ... behaviors of their solutions. see 1–12 and the references cited therein. Papaschinopoulos and Schinas 9, 10 studied the behavior of the positive solutions of the system of two Lyness difference equations x n1  by n  ... behavior of solutions of a rational system,” Communications on Applied Nonlinear Analysis, vol. 8, no. 1, pp. 1–25, 2001. 7 A. Y. ă Ozban, On the positive solutions of the system of rational...

Ngày tải lên: 22/06/2014, 11:20

... fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F + -andF − -solutions. ... of solutions of a special case of (1.1) into two disjoint subsets. We will prove that, for nonoscillatory solution, the first of them equals type (ii) solution and the second equals type (i) solution. ... interest in the study of oscillatory and asymptotic behavior of solutions of difference equations. Compared to second-order difference equations, t he study of higher-order equations, and in particular...

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 06/08/2014, 05:20

... findings by means of numerical simulations. Figure 4 shows graphs of solutions of problem 5.43, 5.1a.InFigure 5 we display the error estimate for the global error of the numerical solution and ... the solvability of nonlinear singular equations subject to different types of boundary conditions. In this section, we utilize Theorem 4.1 to show the existence of solutions for periodic problems. The rest of ... derivative of the numerical solution and show these values in Figure 6. One can see that indeed u  0 ≈ 0,u  1 ≈ 0. Also, to support this observation, we plotted in Figure 7 the numerical solutions...

Ngày tải lên: 21/06/2014, 20:20

... unique solution in [α,β]. 5. Second-order equations In this section, by using Remark 3.5 we give a sufficient condition for the existence and uniqueness of solutions of the second-order nonlinear ... assures the existence and uniqueness of solutions of the dynamic equation (L 1 ) in the sector [α,β], with α and β a pair of coupled lower and upper solutions of (L 1 ). Corollar y 4.1. Assume that ... assures the existence and uniqueness of solutions of the dynamic equation ( ¯ L 2 ) in the sector [α,β], where α and β are a pair of coupled lower and upper solutions of ( ¯ L 2 ). Corollar y 5.1. Assume...

Ngày tải lên: 23/06/2014, 00:20

... horizontal and 1/3 vertical resolution with each view of 640x360 pixels, (d) Full resolution for each view with each view of 1920x1080 pixels 137 Figure 8-3 : Equipment setup of Experiment 1 139 Figure ... ratio of image resolution per view 142 tel-00785987, version 1 - 7 Feb 2013 Contents ii 3.3.2 Analysis of depth rendering abilities of different S-3DTV displays 62 3.3.3 Discussion of the ... Measurement cases of 3DTV 59 Table 3-3 : Depth rendering abilities of different displays 64 Table 3-4 : Depth rendering ability of Desktop (Full resolution) and TV (Line interleaved) in case of viewing...

Ngày tải lên: 16/03/2014, 17:20

... a part of speech on the basis of the part -of- speech implications of the affixes and the length of the remaining kernel. An accuracy of 95 per cent is achieved from the point of view of inclusive ... 90-95 per cent of the cases from the point of view of in- clusive part of speech, with something less than 5 per cent variation, depending on whether part of speech implications of affixes are ... loss from the point of view of inclusive part of speech. Rule A, it will be remembered, requires the removal of affixes from the kernel of the word. If this kernelizing of the word is omitted,...

Ngày tải lên: 16/03/2014, 19:20

... rice left. (không phải là: There is not much of rice left.) A lot of - lots of Không có sự khác nhau nhiều giữa a lot of và lots of. A lot of và lots of đều mang tính chất thân mật, suồng sã, ... credit cards. A large amount of, a great deal of , a large number of Cách diễn đạt này mang tính tương đối trang trọng. Sau A large amount of và a great deal of là danh từ không đếm được. ... Không có sự khác nhau nhiều giữa a lot of và lots of. A lot of và lots of đều mang tính chất thân mật, suồng sã, đứng trước danh từ không đếm được, danh...

Ngày tải lên: 02/04/2014, 13:20

... and Quality of Life Outcomes Open Access Research A predictive model of Health Related Quality of life of parents of chronically ill children: the importance of care-dependency of their child ... parental HRQOL of caregivers of chronically ill childrenFigure 2 Modified final model of predicting parental HRQOL of caregivers of chronically ill children. BioMed Central Page 1 of 9 (page number ... Quality of life in parents of chronically ill children: standardized Regression Coefficients and Percentage of explained variance of the modified model. The model explains 21% and 20% of the...

Ngày tải lên: 18/06/2014, 19:20

... Quality of Life Outcomes 2010, 8:100 http://www.hqlo.com/content/8/1/100 Page 6 of 11 21. Julkunen J, Ahlstrom R: Hostility, anger, and sense of coherence as predictors of health-related quality of ... the increase in explanation of variance by the characteristics of the disease. The relevance of this block of variables is mainly due to the doctor facilitation scale of the PICS: patients who ... psychosocial aspects of the HRQOL, while the aspects of the physician-patient relationship are important for all domains of the HRQOL. The con- firmation of the significance of anger and cynicism...

Ngày tải lên: 20/06/2014, 16:20

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 12/07/2014, 06:00

Ngày tải lên: 27/07/2014, 15:21

Ngày tải lên: 07/08/2014, 08:22

Ngày tải lên: 07/08/2014, 15:23