optimizing hard numerical functions based on simulating the social behavior of bees and how can reach the location ofmost flower concentration. In [13], a discrete particle swarm optimization (DPSO) algorithm was used as new algorithmfor solving the reconfiguration problems.The DPSO algorithm[r]
or else they will grow old and die, and then your hypothesis will become accepted.Sounds crazy, we know, but that’s how science works!In this book we make a somewhat arbitrary distinction between data analysisprocedures that are model-independent and those that are model-dependent.Intheformer catego[r]
.)Some integrals related to Fourier transforms can be calculated using the fastFourier transform (FFT) algorithm. This is discussed in §13.9.Multidimensional integrals are another whole multidimensional bag of worms.Section 4.6 is an introductory discussion in this chapter; the important tech[r]
8.5 Selecting the Mth Largest341Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is[r]
BothGaussian eliminationand Gauss-Jordan eliminationshare thedisadvantagethat all right-hand sides must be known in advance. The LU decomposition methodin the next section does not share that deficiency, and also has an equally smalloperations count, both for solution with any number of right-[r]
the desired goal. The first practical ODE integrator that implemented this idea wasdeveloped by Bulirsch and Stoer, and so extrapolation methods are often calledBulirsch-Stoer methods.3. Predictor-corrector methods store the solution along the way, and usethose results to extrapo[r]
sum of these first exceeds x, then the number of events that would have occurred inwaiting time x becomes known and is one less than the number of terms in the sum.These ideas produce the following routine:294Chapter 7. Random NumbersSample page from NUMERICAL RECIPES IN C: THE ART OF S[r]
that all right-hand sides must be known in advance. The LU decomposition methodin the next section does not share that deficiency, and also has an equally smalloperations count, both for solution with any number of right-hand sides, and formatrix inversion. For this reason we will not i[r]
or else they will grow old and die, and then your hypothesis will become accepted.Sounds crazy, we know, but that’s how science works!In this book we make a somewhat arbitrary distinction between data analysisprocedures that are model-independent and those that are model-dependent.Intheformer catego[r]
,k2)])= FFT-on-index-2(FFT-on-index-1[h(k1,k2)])(12.4.2)522Chapter 12. Fast Fourier TransformSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1[r]
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is granted for internet user[r]
2.5 Iterative Improvement of a Solution to Linear Equations55Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Rec[r]
,k2)])= FFT-on-index-2(FFT-on-index-1[h(k1,k2)])(12.4.2)522Chapter 12. Fast Fourier TransformSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1[r]
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is granted for internet user[r]
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is granted for internet user[r]
sum of these first exceeds x, then the number of events that would have occurred inwaiting time x becomes known and is one less than the number of terms in the sum.These ideas produce the following routine:294Chapter 7. Random NumbersSample page from NUMERICAL RECIPES IN C: THE ART OF S[r]
5.2 Evaluation of Continued Fractions169Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permis[r]
13, the error is much smaller than 10−7everywherein the interval except at the very largest values of x. This is the feature that allows“economization”: if we are willing to let the error elsewhere in the interval rise to about thesame value that the first neglected term has at the extreme end of the[r]
Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 325654, 14 pagesdoi:10.1155/2010/325654Research ArticleA Parameter Robust Method for SingularlyPerturbed Delay Differential EquationsFevzi ErdoganDepartment of Mathematics, Faculty of Sciences, Yuzun[r]