application of partial differential equation in engineering ppt

... Minimizing lateness/tardiness • Minimizing makespan • Maximizing system/machine utilization • Minimizing WIP (work in process) • Maximizing throughput • Minimizing average flow time • Minimizing ... Simulation of scheduling rules in a flexible manufacturing system using fuzzy logic, IEA-AIE96 Ninth International Conference on Industrial and Engineering Application of Artificial Intelligence ... routings. A routing is selected such that the following goals are achieved: • Minimizing number of blocked machines. • Minimizing total processing time. • Minimizing number of processing steps Four...

Ngày tải lên: 17/12/2013, 06:15

... risk of being left behind. Simply, CRM is a high-tech way of gathering mou- ntains of information about customers, then using it to make customers happy—or at least a source of more business. ... on behalf of human users to perform laborious and routine tasks such as locating and accessing neces- sary information, resolving inconsistencies in the retrieved information, filtering away irrelevant and ... irrelevant and unwanted information, and integrating infor- mation from heterogeneous information sources. In order to execute tasks on behalf of a business process, computer application, or an individual, agents...

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... 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 ... 1973, Computational Methods in Ordinary Differential Equations (New York: Wiley). Lapidus, L., and Seinfeld, J. 1971, Numerical Solution of Ordinary Differential Equations (New York: Academic ... derive from this basic 712 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C)...

Ngày tải lên: 15/12/2013, 04:15

... evolution of the larger-scale features of interest takes place superposed with a kind of “frozen in (though fluctuating) background of small-scale stuff. This answer gives a differencing scheme ... form again and in practice usually retains the stability advantages of fully implicit differencing. Schr ¨ odinger Equation Sometimes the physical problem being solved imposes constraints on ... more concentrated instead of dispersing. (Don’t make the mistake of trying to find a stable differencingscheme for a problemwhose underlyingPDEs arethemselves unstable!) Even though (19.2.1) is of the form...

Ngày tải lên: 15/12/2013, 04:15

... underlying PDEs, perhaps allowing second-order spatial differencing for first-order -in- space PDEs. When you increase the order of a differencing method to greater than the order of the original ... Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machine- readable files (including this ... America). are using is known to be extremely stable, we do not recommend anything higher than second-order in time (for sets of first-order equations). For spatial differencing, we recommend the order of the...

Ngày tải lên: 15/12/2013, 04:15

... level of CR, we have reduced the number of equations by a factor of two. Since the resulting equations are of the same form as the original equation, we can repeat the process. Taking the number of ... y-values on these x-lines. Then fill in the intermediate x-lines as in the original CR algorithm. The trick is to choose the number of levels of CR so as to minimize the total number of arithmetic operations. ... mentioned in §19.0, relaxation methods involve splitting the sparse matrix that arises from finite differencing and then iterating until a solution is found. There is another way of thinking about...

Ngày tải lên: 15/12/2013, 04:15

... 722 Chapter 16. Integration of Ordinary Differential Equations Sample 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 ODE integrator. In practice, the method finds its most important application as a part of the more powerful...

Ngày tải lên: 24/12/2013, 12:16

... as in the original Bulirsch-Stoer method. The starting point is an implicit form of the midpoint rule: y n+1 − y n−1 =2hf  y n+1 + y n−1 2  (16.6.29) 738 Chapter 16. Integration of Ordinary Differential ... calculates dydx . { void lubksb(float **a, int n, int *indx, float b[]); void ludcmp(float **a, int n, int *indx, float *d); int i,j,nn,*indx; float d,h,x,**a,*del,*ytemp; indx=ivector(1,n); a=matrix(1,n,1,n); del=vector(1,n); ytemp=vector(1,n); h=htot/nstep; ... Example of an instability encountered in integrating a stiff equation (schematic). Here it is supposed that the equation has two solutions, shown as solid and dashed lines. Although the initial conditions...

Ngày tải lên: 24/12/2013, 12:16

... The process of defining your problem and solving it is reflected in the design of the GUI. A number of data structures define different aspects of the problem, and the various processing stages ... types of solid objects: •Circle object — represents the set of points inside and on a circle. •Polygon object — represents the set of points inside and on a polygon given by a set of line segments. ... commercial computer software or commercial software documentation was obtained, as set forth in subparagraph (a) of the Rights in Commercial Computer Software or Commercial Software Documentation...

Ngày tải lên: 26/01/2014, 02:20

... ( #  -'(  ETHICS IN AN ENGINEERING COURSE???? "       "#$ http://www.free-clep-prep.com/Business-Ethics-and-Society-DSST.html  http://manofthehouse.com/money/career-advice/business-ethics -in- the-workplace C ...   "#$ http://www.free-clep-prep.com/Business-Ethics-and-Society-DSST.html  http://manofthehouse.com/money/career-advice/business-ethics -in- the-workplace C %&'%" ... *38( - ** ! . ...    1 http://www.boston.com/news/globe/magazine/articles/2006/09/10/its_the _engineering_ stupid/ %"%$ %0%&  2 90 3  2    ...

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... Wagner from the beginning. Also, the combination of the first two elements, that of the movement of the soul and that of a feeling of infinitude, seems clearly on Wagner's mind where he associates ... Schopenhauer, in the feeling of the sublime the pure subject of knowing remains essentially in its state of elevated distance. Again, in Wagner this distance vanishes completely, the result being an ... sublime are distinguished by the manner in which the pure subject of knowing detaches itself from the subject of willing. In the contemplation of beauty, the pure subject of knowing has achieved...

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... criminal acts include urban gangsters and other vices. Studies have shown an increasing rate of young people’s involvement in reported criminal cases with increasing unemployment contributing ... people, resulting from excessive consumption of certain foods and lack of physical exercises, are also increasing in incidence. Young people are often attracted by processed and refined foods. ... health and well-being. In Nigeria, child trafficking and prostitution have come under increased attention in recent times. Street trading, working in drinking parlours are some of the other risky...

Ngày tải lên: 05/03/2014, 21:20

... the discriminating behaviour of Mt-GluRS in E. coli. Studies on Tt-GluRS indicated that discriminating and nondiscriminating GluRS can be distinguished on the basis of the presence of a specific ... measuring the initial velocity of reactions that contained fixed levels of the inhibitor (I), varying concentration of one of the substrates and constant concentration of others. After inspection of the ... exceptions in that activation of the amino acid requires the presence of the cognate tRNA [2,4]. In these aaRS the binding of tRNA induces an ATP productive binding mode [5]. GluRS are also distinguished...

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