uses 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 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 ... 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...
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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 ... calculatesdydx.{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). 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
... 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 (C) ... 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 Báo cáo khoa học: "Some Uses of Higher-Order Logic in Computational Linguistics" pdf
... justification of certain computations involving meanings and parsing. We have been concerned with explaining a logic programming ap- proach to integrating syntactic and semantic processing. Higher-order ... the process of finding proofs. In a more specific sense, there are sublogics of a higher-order logic in which the process of constructing proofs is not much more complicated than in similar ... One of the purposes for providing a representation for concepts is so that inferences that involve them can be de- scribed. One kind of inference that is of particular inter- est is that of...
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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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ordinary and partial differential equation routines in matlab - h.j. lee & w.e. schiesser
... Solution of a Linear PDE4.1 Programming in MATLAB4.2 Programming in C4.3 Programming in C++4.4 Programming in Fortran4.5 Programming in Java4.6 Programming in Maple 5 Solution of a Nonlinear ... Programming in Maple3 Solution of a 2x2 ODE System 3.1 Programming in MATLAB3.2 Programming in C3.3 Programming in C++ 3.4 Programming in Fortran3.5 Programming in Java 3.6 Programming in Maple4 ... ODE Integrators 1.7 Stability of RK Methods2 Solution of a 1x1 ODE System2.1 Programming in MATLAB2.2 Programming in C2.3 Programming in C++ 2.4 Programming in Fortran2.5 Programming in...
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Designing & evaluating an English reading test for the non-majors of Civil Engineering at Haiphong private university
... after completing the study. 2.Aims of the studyThe minor thesis is aimed at designing an achievement test of ESP reading which would be conducted in a class of Civil Engineering English at ... measure the progress her students had made in terms of reading skills after undertaking the course of English for Civil Engineering in their last term in 2004-2005 school year. From the results, ... achievement in improving reading skill with English of Civil Engineering after 120 period reading course. to measure their aptitude for the reading skill. to diagnose their strength and weakness in...
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