application of ordinary differential equation in civil engineering

Tài liệu Integration of Ordinary Differential Equations part 1 doc

Tài liệu Integration of Ordinary Differential Equations part 1 doc

Ngày tải lên : 15/12/2013, 04:15
... America). Chapter 16. Integration of Ordinary Differential Equations 16.0 Introduction Problems involving ordinary differential equations (ODEs) can always be reduced 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 (New York: Academic ... 708 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)...
  • 4
  • 361
  • 0
Tài liệu Integration of Ordinary Differential Equations part 2 pptx

Tài liệu Integration of Ordinary Differential Equations part 2 pptx

Ngày tải lên : 15/12/2013, 04:15
... 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 ... 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 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)...
  • 5
  • 448
  • 0
Tài liệu Application of Fuzzy Set Theory in Flexible Manufacturing System Design pptx

Tài liệu Application of Fuzzy Set Theory in Flexible Manufacturing System Design pptx

Ngày tải lên : 17/12/2013, 06:15
... Minimizing lateness/tardiness ã Minimizing makespan ã Maximizing system/machine utilization ã Minimizing WIP (work in process) ã Maximizing throughput ã Minimizing average ow time ã 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: ã Minimizing number of blocked machines. ã Minimizing total processing time. ã Minimizing number of processing steps Four...
  • 29
  • 473
  • 1
Tài liệu Integration of Ordinary Differential Equations part 3 doc

Tài liệu Integration of Ordinary Differential Equations part 3 doc

Ngày tải lên : 24/12/2013, 12:16
... 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 worthyof Gilbertand Sullivan’sMikado: ... + H, z n )] (16.3.2) 714 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) ... 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall), Chapter 2. [2] Shampine, L.F., and Watts, H.A. 1977, in Mathematical Software III ,...
  • 9
  • 436
  • 0
Tài liệu Integration of Ordinary Differential Equations part 4 ppt

Tài liệu Integration of Ordinary Differential Equations part 4 ppt

Ngày tải lên : 24/12/2013, 12:16
... 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...
  • 3
  • 461
  • 0
Tài liệu Integration of Ordinary Differential Equations part 5 pdf

Tài liệu Integration of Ordinary Differential Equations part 5 pdf

Ngày tải lên : 24/12/2013, 12:16
... remind you once again that scaling of the variables is often crucial for successful integration of differential equations. The scaling “trick” suggested in the discussion following equation (16.2.8) ... each component of a vector of quantities. 728 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 ... encountered in practice, is discussed in Đ16.7.) 726 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...
  • 9
  • 486
  • 0
Tài liệu Integration of Ordinary Differential Equations part 6 pdf

Tài liệu Integration of Ordinary Differential Equations part 6 pdf

Ngày tải lên : 24/12/2013, 12:16
... 734 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) ... is a particular class of equations that occurs quite frequently in practice where you can gain about a factor of two in efficiency by differencing the equations directly. The equations are second-order ... FURTHER READING: Stoer, J., and Bulirsch, R. 1980, Introduction to Numerical Analysis (New York: Springer-Verlag), Đ 7.2.14. [1] Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential...
  • 3
  • 395
  • 0
Tài liệu Integration of Ordinary Differential Equations part 7 pptx

Tài liệu Integration of Ordinary Differential Equations part 7 pptx

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 ... methods have been, we think, squeezed 740 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 ... 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...
  • 14
  • 407
  • 0
Tài liệu Integration of Ordinary Differential Equations part 8 pdf

Tài liệu Integration of Ordinary Differential Equations part 8 pdf

Ngày tải lên : 24/12/2013, 12:16
... methods have been, we think, squeezed 752 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 ... 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 (Englewood Cliffs, ... method .In functional iteration, we take some initial guess for y n+1 , insert it into the right-hand side of (16.7.2) to get an updated value of y n+1 , insert this updated value back into the...
  • 6
  • 457
  • 0
Tài liệu Application of Knowledge Management Technology in Customer Relationship Management pptx

Tài liệu Application of Knowledge Management Technology in Customer Relationship Management pptx

Ngày tải lên : 24/01/2014, 00:20
... 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...
  • 15
  • 709
  • 1
Benchmarking the Competitiveness of the United States in Mechanical Engineering Basic Research pot

Benchmarking the Competitiveness of the United States in Mechanical Engineering Basic Research pot

Ngày tải lên : 06/03/2014, 15:20
... 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...
  • 119
  • 338
  • 0
Báo cáo hóa học: " A fixed point approach to the Hyers-Ulam stability of a functional equation in various normed spaces" pptx

Báo cáo hóa học: " A fixed point approach to the Hyers-Ulam stability of a functional equation in various normed spaces" pptx

Ngày tải lên : 20/06/2014, 22:20
... 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, A x m = 1 m A(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, A  x m  = 1 m A(x ) (12) for all x Î X. The mapping A is a unique fixed point of J in the set  =...
  • 14
  • 479
  • 0
báo cáo hóa học: " On the stability of pexider functional equation in non-archimedean spaces" pot

báo cáo hóa học: " On the stability of pexider functional equation in non-archimedean spaces" pot

Ngày tải lên : 21/06/2014, 02:20
... ẻ V 1 . Now, first by putting y = 0 in Equation 3.7 and applying Equation 3.2 and second by putting x = 0 in Equation 3.7 and applying Equation 3.2 once again, we obtain   F e 1 (x)+F e 2 (x) ... Applications 2011, 2011:17 http://www.journalofinequalitiesandapplications.com/content/2011/1/17 Page 11 of 11 and so, by interchanging role of x, y in the preceding inequality,   F o 3 (y + x)+F o 3 (y ... Journal of Inequalities and Applications 2011, 2011:17 http://www.journalofinequalitiesandapplications.com/content/2011/1/17 Page 2 of 11 2. Hyers, DH: On the stability of the linear functional equation. ...
  • 11
  • 325
  • 0
Báo cáo hóa học: " Review Article Multimodal Pressure-Flow Analysis: Application of Hilbert Huang Transform in Cerebral Blood Flow Regulation" docx

Báo cáo hóa học: " Review Article Multimodal Pressure-Flow Analysis: Application of Hilbert Huang Transform in Cerebral Blood Flow Regulation" docx

Ngày tải lên : 21/06/2014, 22:20
... 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 ... successive windows) and was plotted using color mapping on the right side of Figure 1. As shown in the rectangle area of the STFT spectrograms 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 shifts between...
  • 15
  • 285
  • 0

Xem thêm