×

FFTW

swMATH ID: 4126
Software Authors: MIT; Matteo Frigo; Steven G. Johnson
Description: FFTW is a C subroutine library for computing the discrete Fourier transform (DFT) in one or more dimensions, of arbitrary input size, and of both real and complex data (as well as of even/odd data, i.e. the discrete cosine/sine transforms or DCT/DST). We believe that FFTW, which is free software, should become the FFT library of choice for most applications. The latest official release of FFTW is version 3.3.3, available from our download page. Version 3.3 introduced support for the AVX x86 extensions, a distributed-memory implementation on top of MPI, and a Fortran 2003 API. Version 3.3.1 introduced support for the ARM Neon extensions.
Homepage: http://www.fftw.org/
Keywords: discrete Fourier transform; DFT
Related Software: Matlab; ATLAS; LAPACK; CUDA; SPIRAL; Python; PETSc; BLAS; SciPy; GitHub; P3DFFT; NFFT; PHiPAC; PFFT; 2DECOMP; Mathematica; NumPy; R; cuFFT; MPI
Referenced in: 508 Publications
all top 5

Referenced by 1,099 Authors

12 Potts, Daniel
6 de la Hoz, Francisco
6 Dellar, Paul J.
6 Keiner, Jens
5 Bright, Curtis
5 Bruno, Oscar P.
5 Ganesh, Vijay
5 García-Cervera, Carlos J.
5 Joo, Sookyung
5 Kotsireas, Ilias S.
5 Kunis, Stefan
5 Salupere, Andrus
5 Schneider, Matti
4 Böhlke, Thomas
4 Bowman, John C.
4 Dongarra, Jack J.
4 Garcia, Ferran
4 Nuyens, Dirk
3 Bientinesi, Paolo
3 Biros, George
3 Chatelain, Philippe
3 Choi, Jung-Il
3 Cools, Ronald
3 Cuesta Romero, Carlota Maria
3 de la Llave, Rafael
3 Einkemmer, Lukas
3 Fagg, Graham E.
3 Fredrickson, Glenn H.
3 Heinle, Albert
3 Iwen, Mark A.
3 Kabel, Matthias
3 Keitel, Christoph H.
3 Korotkevich, Aleksandr Olegovich
3 Languasco, Alessandro
3 Malhotra, Dhairya
3 Mansouri, Farnam
3 Marazzina, Daniele
3 Moreno Maza, Marc
3 Oliva, Assensi
3 Padua, David A.
3 Pérez-García, Víctor Manuel
3 Roberts, Malcolm
3 Steidl, Gabriele
3 Tamm, Kert
3 Trias, Francesc Xavier
3 Vollrath, Antje
3 Xie, Ning
2 Ammon, Martin
2 Anderson, Christopher R.
2 Auteri, Franco
2 Avila, Marc
2 Baroni, Stefano
2 Bobaru, Florin
2 Borrell, Ricard
2 Brackley, Chris A.
2 Brummell, Nicholas H.
2 Bueno-Orovio, Alfonso
2 Buffat, Marc
2 Carter, John B.
2 Cayama, Jorge
2 Ceniceros, Hector D.
2 Chen, Changbo
2 Chillotti, Ilaria
2 Covanov, Svyatoslav
2 D’Alberto, Paolo
2 Delaney, Kris T.
2 Demmel, James Weldon
2 Dick, Josef
2 Diggle, Peter John
2 Dutykh, Denys
2 Dyachenko, Sergey A.
2 Eloranta, Jussi
2 Ferrante, Antonino
2 Fusai, Gianluca
2 Gama, Nicolas
2 Garcia, Salvador G.
2 Gebauer, Ralph
2 Georgieva, Mariya
2 Germano, Guido
2 Geurts, Bernard J.
2 Gholami, Amir
2 Gimeno, Joan
2 Gorobets, Andrey V.
2 Harrison, Robert J.
2 Huang, Wen
2 Ilison, Lauri
2 Izabachène, Malika
2 Jafarzadeh, Siavash
2 Johnson, Jeremy R.
2 Johnson, Steven G.
2 Jonsson, Isak
2 Jorba, Àngel
2 Julien, Keith A.
2 Kågström, Bo
2 Karampetakis, Nicholas P.
2 Keich, Uri
2 Kiselyov, Oleg
2 Knudsen, Kim M.
2 Kolomenskiy, Dmitry
2 Kowarschik, Markus
...and 999 more Authors
all top 5

Referenced in 153 Serials

86 Journal of Computational Physics
32 Computer Physics Communications
28 SIAM Journal on Scientific Computing
14 Computers and Fluids
13 Computer Methods in Applied Mechanics and Engineering
11 Journal of Fluid Mechanics
11 ACM Transactions on Mathematical Software
11 Mathematics and Computers in Simulation
10 Physica D
8 Numerical Algorithms
7 Journal of Computational and Applied Mathematics
7 Computational Mechanics
6 Mathematics of Computation
6 Journal of High Energy Physics
5 Journal of Scientific Computing
4 Computers & Mathematics with Applications
4 Inverse Problems
4 Numerische Mathematik
4 Parallel Computing
4 Signal Processing
4 Journal of Mathematical Imaging and Vision
4 SIAM Journal on Applied Dynamical Systems
4 Mathematical Geosciences
3 Journal of the Mechanics and Physics of Solids
3 Wave Motion
3 Applied Mathematics and Computation
3 Journal of Symbolic Computation
3 SIAM Review
3 Celestial Mechanics and Dynamical Astronomy
3 Applied and Computational Harmonic Analysis
3 Advances in Computational Mathematics
3 EURASIP Journal on Applied Signal Processing
3 Multiscale Modeling & Simulation
3 Journal of Cosmology and Astroparticle Physics
2 Classical and Quantum Gravity
2 Computing
2 Theoretical Computer Science
2 Science of Computer Programming
2 Applied Numerical Mathematics
2 Journal of Parallel and Distributed Computing
2 Multidimensional Systems and Signal Processing
2 FGCS. Future Generation Computer Systems
2 European Journal of Operational Research
2 Computational Statistics and Data Analysis
2 The Journal of Fourier Analysis and Applications
2 International Journal of Computational Fluid Dynamics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Communications in Nonlinear Science and Numerical Simulation
2 Foundations of Computational Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Inverse Problems and Imaging
2 SIAM Journal on Imaging Sciences
1 Acta Mechanica
1 Advances in Applied Probability
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Astronomy and Astrophysics
1 Biological Cybernetics
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 International Journal of Solids and Structures
1 Information Processing Letters
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Nonlinearity
1 The Annals of Statistics
1 Automatica
1 Calcolo
1 IEEE Transactions on Computers
1 International Journal for Numerical Methods in Engineering
1 Journal of the American Statistical Association
1 Journal of Mathematical Psychology
1 Journal of Number Theory
1 SIGSAM Bulletin
1 Moscow University Computational Mathematics and Cybernetics
1 Statistics & Probability Letters
1 Journal of Complexity
1 Statistical Science
1 Journal of Computer Science and Technology
1 New Generation Computing
1 International Journal of Parallel Programming
1 Journal of Automated Reasoning
1 International Journal of Approximate Reasoning
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Cryptology
1 Annals of Operations Research
1 The Annals of Applied Probability
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 Journal of Elasticity
1 Journal of Statistical Computation and Simulation
1 Linear Algebra and its Applications
1 Pattern Recognition
...and 53 more Serials
all top 5

Referenced in 42 Fields

278 Numerical analysis (65-XX)
120 Fluid mechanics (76-XX)
84 Partial differential equations (35-XX)
78 Computer science (68-XX)
46 Mechanics of deformable solids (74-XX)
35 Information and communication theory, circuits (94-XX)
34 Statistical mechanics, structure of matter (82-XX)
26 Optics, electromagnetic theory (78-XX)
22 Quantum theory (81-XX)
21 Biology and other natural sciences (92-XX)
20 Statistics (62-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
17 Dynamical systems and ergodic theory (37-XX)
16 Probability theory and stochastic processes (60-XX)
14 Relativity and gravitational theory (83-XX)
13 Geophysics (86-XX)
10 Number theory (11-XX)
10 Mechanics of particles and systems (70-XX)
9 Special functions (33-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Astronomy and astrophysics (85-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Operations research, mathematical programming (90-XX)
6 Ordinary differential equations (34-XX)
6 Approximations and expansions (41-XX)
6 Integral equations (45-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Combinatorics (05-XX)
3 Integral transforms, operational calculus (44-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Abstract harmonic analysis (43-XX)
2 Differential geometry (53-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Real functions (26-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Operator theory (47-XX)
1 Global analysis, analysis on manifolds (58-XX)

Referencing Publications by Year