1
Parallel FFT and Use in PDE Solvers 2
Abstract of CPS615 FFT Lectures 3
References for Fast Fourier Transform 4
Solving Poisson's Equation with the FFT I 5
Solving Poisson's Equation with the FFT II 6
Discrete Fourier Transform 7
Inverse and other FFT Transforms 8
The 1D FFT in explicit detail I 9
The 1D FFT in explicit detail II 10
DIF Manipulation of the exponential I 11
DIF Manipulation of the exponential II 12
Recursive Formula for DIF 13
The Computational Complexity of DIF FFT 14
DIT Manipulation of the exponential I 15
DIT Manipulation of the exponential II 16
Recursive Formula for DIT 17
Recursive Structure for DIT 18
What's Going On with DIT/DIF I 19
What's Going On with DIT/DIF II 20
What's Going On with DIT/DIF III 21
Butterfly Pattern in 1D DIT FFT 22
Basic Parallel FFT Algorithms I 23
Basic Parallel FFT Algorithms II 24
Parallelism in 1D FFT 25
Performance of Simplest Parallel DIT FFT I 26
Performance of Simplest Parallel DIT FFT II 27
Performance of Simplest Parallel DIT FFT III 28
Performance of Simplest Parallel DIT FFT IV 29
Performance of Simplest Parallel DIT FFT V 30
What's Going On with DIT/DIF IV 31
Sequential and Parallel Performance I 32
Sequential and Parallel Performance II 33
Sequential and Parallel Performance III 34
Sequential and Parallel Performance IV 35
Sequential and Parallel Performance V 36
Parallel FFT and Hypercubes I 37
Parallel FFT and Hypercubes II 38
Multi Dimensional FFT's
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