application of ordinary differential equation in civil engineering
Tài liệu Integration of Ordinary Differential Equations part 1 doc
... America).Chapter 16. Integration of Ordinary Differential Equations16.0 IntroductionProblems involving ordinary differential equations (ODEs) can always bereduced to the study of sets of first-order differential ... 1973,Computational Methods in Ordinary Differential Equations(New York: Wiley).Lapidus, L., and Seinfeld, J. 1971,Numerical Solution of Ordinary Differential Equations(NewYork: Academic ... 708Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C)...
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Tài liệu Integration of Ordinary Differential Equations part 2 pptx
... 1973,Computational Methods in Ordinary Differential Equations(New York: Wiley).Lapidus, L., and Seinfeld, J. 1971,Numerical Solution of Ordinary Differential Equations(NewYork: Academic ... discussion of the pitfalls in constructing a good Runge-Kutta code is given in [3].Here is the routine for carrying out one classical Runge-Kutta step on a set of n differential equations. You input ... derive from this basic 712Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C)...
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Tài liệu Application of Fuzzy Set Theory in Flexible Manufacturing System Design pptx
... Minimizing lateness/tardinessã Minimizing makespanã Maximizing system/machine utilizationã Minimizing WIP (work in process)ã Maximizing throughputã Minimizing average ow timeã Minimizing ... Simulation of scheduling rules in a flexiblemanufacturing system using fuzzy logic, IEA-AIE96 Ninth International Conference on Industrialand Engineering Application of Artificial Intelligence ... routings. A routing is selected such that the following goals are achieved:ã Minimizing number of blocked machines.ã Minimizing total processing time.ã Minimizing number of processing stepsFour...
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Tài liệu Integration of Ordinary Differential Equations part 3 doc
... methods.free_vector(ytemp,1,n);free_vector(ak6,1,n);free_vector(ak5,1,n);free_vector(ak4,1,n);free_vector(ak3,1,n);free_vector(ak2,1,n);}Noting that the above routines are all in single precision, don’t be too greedy in specifying eps. Thepunishment forexcessive greediness is interestingand worthyofGilbertand Sullivan’sMikado: ... + H, zn)](16.3.2) 714Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) ... 1971,Numerical Initial Value Problems in Ordinary Differential Equations(EnglewoodCliffs, NJ: Prentice-Hall), Chapter 2. [2]Shampine, L.F., and Watts, H.A. 1977, in Mathematical Software III,...
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Tài liệu Integration of Ordinary Differential Equations part 4 ppt
... 722Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) ... hmin) nrerror("Step size too small in odeint");h=hnext;}nrerror("Too many steps in routine odeint");}CITED REFERENCES AND FURTHER READING:Gear, C.W. 1971,Numerical Initial ... H/n (16.3.1) In principle, one could use the modified midpoint method in its own right as an ODEintegrator. In practice, the method finds its most important application as a part of the more powerful...
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Tài liệu Integration of Ordinary Differential Equations part 5 pdf
... remind you once again that scaling of the variables is often crucial forsuccessful integration of differential equations. The scaling “trick” suggested in the discussion following equation (16.2.8) ... eachcomponent of a vector of quantities. 728Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... encountered in practice, is discussed in Đ16.7.) 726Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...
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Tài liệu Integration of Ordinary Differential Equations part 6 pdf
... 734Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) ... isa particular class of equations that occurs quite frequently in practice where you can gainabout a factor of two in efficiency by differencing the equations directly. The equations aresecond-order ... FURTHER READING:Stoer, J., and Bulirsch, R. 1980,Introduction to Numerical Analysis(New York: Springer-Verlag),Đ7.2.14. [1]Gear, C.W. 1971,Numerical Initial Value Problems in Ordinary Differential...
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Tài liệu Integration of Ordinary Differential Equations part 7 pptx
... as in the original Bulirsch-Stoer method.The starting point is an implicit form of the midpoint rule:yn+1− yn−1=2hfyn+1+ yn−12(16.6.29) 738Chapter 16. Integration of Ordinary Differential ... methods have been, we think, squeezed 740Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... Example of an instability encountered in integrating a stiff equation (schematic). Hereit is supposed that the equation has two solutions, shown as solid and dashed lines. Although the initialconditions...
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Tài liệu Integration of Ordinary Differential Equations part 8 pdf
... methods have been, we think, squeezed 752Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... methods in all applications. We are willing, however, to be corrected.CITED REFERENCES AND FURTHER READING:Gear, C.W. 1971,Numerical Initial Value Problems in Ordinary Differential Equations(EnglewoodCliffs, ... method .In functional iteration, we take some initial guess for yn+1, insert it into the right-handside of (16.7.2) to get an updated value of yn+1, insert this updated value back intothe...
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Tài liệu Application of Knowledge Management Technology in Customer Relationship Management pptx
... risk of being left behind.Simply, CRM is a high-tech way of gathering mou-ntains of information about customers, then usingit to make customers happy—or at least a source of more business. ... onbehalf of human users to perform laborious androutine tasks such as locating and accessing neces-sary information, resolving inconsistencies in theretrieved information, filtering away irrelevantand ... irrelevantand unwanted information, and integrating infor-mation from heterogeneous information sources. In order to execute tasks on behalf of a businessprocess, computer application, or an individual,agents...
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Benchmarking the Competitiveness of the United States in Mechanical Engineering Basic Research pot
... Leadership in Mechanical Engineering U.S. research leadership in mechanical engineering basic research is the result of a combination of key factors, including a national instinct to respond ... president of the National Academy of Engineering. The Institute of Medicine was established in 1970 by the National Academy of Sciences to secure the services of eminent members of appropriate professions ... mechanical engineering and it has affected every area of mechanical engineering. In particular, the field of computational mechanics has become a vital component of this engineering discipline, and...
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Báo cáo hóa học: " A fixed point approach to the Hyers-Ulam stability of a functional equation in various normed spaces" pptx
... stability of the following func-tional equation f (mx + ny)=(m + n)f(x + y)2+(m − n)f(x − y)2(1) in various spaces, which was introduced and investigated in [13].2. Preliminaries In this ... there exists a mapping A : X đ Y satisfying the following:(1) A is a fixed point of J, that is,Axm=1mA(x)(5)for all x ẻ X. The mapping A is a unique fixed point of J in the set= {h ... there exists a mapping A : X đ Y satisfying the following:(1) A is a fixed point of J, that is,Axm=1mA(x)(12)for all x Î X. The mapping A is a unique fixed point of J in the set=...
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báo cáo hóa học: " On the stability of pexider functional equation in non-archimedean spaces" pot
... ẻ V1.Now, first by putting y = 0 in Equation 3.7 and applying Equation 3.2 and second byputting x = 0 in Equation 3.7 and applying Equation 3.2 once again, we obtainFe1(x)+Fe2(x) ... Applications 2011, 2011:17http://www.journalofinequalitiesandapplications.com/content/2011/1/17Page 11 of 11 and so, by interchanging role of x, y in the preceding inequality,Fo3(y + x)+Fo3(y ... Journal of Inequalities and Applications 2011, 2011:17http://www.journalofinequalitiesandapplications.com/content/2011/1/17Page 2 of 11 2. Hyers, DH: On the stability of the linear functional equation. ...
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Báo cáo hóa học: " Review Article Multimodal Pressure-Flow Analysis: Application of Hilbert Huang Transform in Cerebral Blood Flow Regulation" docx
... analysis without expert input. In Section 5, we review previous applications of MMPF in clinical studies [15, 16], in which the ability and reliability of the method in assessing the CA from spontaneous ... successivewindows) and was plotted using color mapping on the rightside of Figure 1. As shown in the rectangle area of the STFTspectrograms of raw BP signals (marked using white line, the Hindawi ... shift (horizontal dashed lines in bottom panels of (a) and (b)) was obtained as the average of instantaneous BFV-BPV phase shifts during the entire 5-min supine baseline. (c) Phase shiftsbetween...
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