Fast fourier transform on multipoles algorithm for elasticity and stokes flow

... Laplace equation, Navier equation, Stokes equation and non-linear Poisson-type equation, are investigated with a power tool, fast Fourier transform on multipoles (FFTM) Laplace equation is a partial ... INTRODUCTION Laplacian The commonly used boundary conditions for the Laplace equation are Dirichlet boundary condition (first-type boundary condition or essential boundary condi...

Ngày tải lên: 11/09/2015, 16:06

... Accurate and Efficient Three- Dimensional Electrostatics Analysis using Singular Boundary Elements and Fast Fourier Transform on Multipoles (FFTM) ONG ENG TEO (B ENG (Hons.) NUS) A ... Two -Dimensional Singular Elements Two -Dimensional Singular Elements Two -dimensional analysis is first conducted as a preliminary investigation This chapter beg...

Ngày tải lên: 15/09/2015, 21:09

... ND2=N/2 The Fast Fourier Transform in FORTRAN NM1=N-1 Data are passed to this subroutine in the J=1 variables X( ) and M The integer, M, is the DO 50 I=1,NM1 base two logarithm of the length of the ... using the FFT algorithm) First, move the N point signal into the real part of the complex DFT's time domain, and then set all of the samples in the imaginary part...

Ngày tải lên: 13/09/2012, 09:50

... Proakis and D G Manolakis, Digital Signal Processing ± Principles, Algorithms, and Applications, 3rd Ed., Englewood Cliffs, NJ: Prentice-Hall, 1996 [11] A Bateman and W Yates, Digital Signal Processing ... and h(n) are real-valued N-periodic sequences, y(n) is the circular convolution of x(n) and h(n) defined as y…n† ˆ x…n†  h…n†, n ˆ 0, 1, , N À 1, 7:1 :26† 312 FAST...

Ngày tải lên: 28/10/2013, 05:15

... in 12 .1 From equation (12 .0 .1) it is evident at once that Fourier transformation is a linear operation The transform of the sum of two functions is equal to the sum of the transforms The transform ... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copyright (C) 19 88 -19 92 by Numerical Recip...

Ngày tải lên: 21/01/2014, 18:20

... 1-800-8 72- 7 423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) hn h(t) = ∆ 5 02 Chapter 12 Fast Fourier Transform h(t) ∆ t T H( f ) f ( b) aliased Fourier transform ... integral in ( 12. 0.1) by a discrete sum: ∞ H(fn ) = −∞ N−1 h(t)e2πifn t dt ≈ N−1 hk e2πifn tk ∆ = ∆ k=0 hk e2πikn/N k=0 ( 12. 1.6) N−1 Hn ≡ hk e2πikn/N ( 12. 1.7) k=0 The discr...

Ngày tải lên: 21/01/2014, 18:20

... 1-800-872-74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) real array of length N real real array of length N Fast Fourier Transform 12.2 Fast Fourier Transform ... replace floating-point arithmetic with 510 Chapter 12 Fast Fourier Transform CITED REFERENCES AND FURTHER READING: Nussbaumer, H.J 1982, Fast Fourier Transform and Con...

Ngày tải lên: 21/01/2014, 18:20

... the Fourier transform (a), sine transform (b), and cosine transform (c), are plotted The first five basis functions are shown in each case (For the Fourier transform, the real and imaginary parts ... inverse transform for the case isign=-1 Fast Sine and Cosine Transforms Among their other uses, the Fourier transforms of functions can be used to solve differential equations (see...

Ngày tải lên: 21/01/2014, 18:20

... ifp1=ifp2; } nprev *= n; } 52 5 12 .5 Fourier Transforms of Real Data in Two and Three Dimensions CITED REFERENCES AND FURTHER READING: Nussbaumer, H.J 1982, Fast Fourier Transform and Convolution ... trade@cup.cam.ac.uk (outside North America) row 52 4 Chapter 12 Fast Fourier Transform { } Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1...

Ngày tải lên: 21/01/2014, 18:20

... with fine-scale features become gray 530 Chapter 12 Fast Fourier Transform #include #include "nrutil.h" #define N2 2 56 #define N3 2 56 Note that the first component must be set to int ... READING: Brigham, E.O 1974, The Fast Fourier Transform (Englewood Cliffs, NJ: Prentice-Hall) Swartztrauber, P N 19 86, Mathematics of Computation, vol 47, pp 323–3 46 Sample page from NUMERIC...

Ngày tải lên: 21/01/2014, 18:20

... 12 Fast Fourier Transform } j=1; The second phase of the transform starts here Now, the remaining permutations are sufficiently local to be done in place for (;;) { theta=isign*3.14159265358 979 3/(n/mm); ... free_vector(afb,1,KBF); free_vector(afa,1,KBF); return; } } while (jk == 1); 536 Chapter 12 Fast Fourier Transform afa, afb, and afc into your address space In other words,...

Ngày tải lên: 21/01/2014, 18:20

... divides the DFT into two equal parts The first part calculates the Fourier transform of the even index numbers The other part calculates the Fourier transform of the odd index numbers and then finally ... Comparison of complex case FFT in parallel with FFTW 3.2 Table 4.10 below shows the comparison of the FFT in parallel with the (FFTW) [4] It is se...

Ngày tải lên: 30/10/2014, 20:11

... Business and Peace: A Resource Pack on Corporate Responsibility for Small and Medium Enterprises Sustaining Business and Peace A Resource Pack on Corporate Responsibility for Small and Medium Enterprises ... not too late at all You just don’t yet know what you are capable of" - Mahatma Gandhi Sustaining Business and Peace: A R...

Ngày tải lên: 06/03/2014, 21:20

... (2002) Calcium and peptide binding to folded and unfolded conformations of cardiac troponin C Electrospray ionization and Fourier transform ion cyclotron resonance mass spectrometry Eur J Mass Spectrom ... (1998) Fourier transform ion cyclotron resonance mass spectrometry: a primer Mass Spectrom Rev 17, 135 56 Smith RD (2000) Evolution of ESI -...

Ngày tải lên: 07/03/2014, 17:20

Ngày tải lên: 08/03/2014, 10:20