FFTW

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.


References in zbMATH (referenced in 286 articles , 1 standard article )

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  1. Breiten, Tobias; Simoncini, Valeria; Stoll, Martin: Low-rank solvers for fractional differential equations (2016)
  2. Christlieb, Andrew; Lawlor, David; Wang, Yang: A multiscale sub-linear time Fourier algorithm for noisy data (2016)
  3. Contreras, A.; Garcia-Azpeitia, C.; García-Cervera, C.J.; Joo, S.: The onset of layer undulations in smectic A liquid crystals due to a strong magnetic field (2016)
  4. de la Hoz, Francisco; Hmidi, Taoufik; Mateu, Joan; Verdera, Joan: Doubly connected $V$-states for the planar Euler equations (2016)
  5. de la Hoz, Francisco; Vadillo, Fernando: Numerical simulations of time-dependent partial differential equations (2016)
  6. Engels, Thomas; Kolomenskiy, Dmitry; Schneider, Kai; Sesterhenn, Jörn: FluSI: a novel parallel simulation tool for flapping insect flight using a Fourier method with volume penalization (2016)
  7. Feichtinger, Hans G.: Thoughts on numerical and conceptual harmonic analysis (2016)
  8. Gholami, Amir; Malhotra, Dhairya; Sundar, Hari; Biros, George: FFT, FMM, or multigrid? A comparative study of state-of-the-art Poisson solvers for uniform and nonuniform grids in the unit cube (2016)
  9. Kulikov, Igor; Vorobyov, Eduard: Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows (2016)
  10. Marsili-Libelli, Stefano: Environmental systems analysis with MATLAB (2016)
  11. Mishra, S.; Schwab, Ch.; Šukys, J.: Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium (2016)
  12. Schweizer, Wolfgang: MATLAB compact (2016)
  13. Zepeda-Núñez, Leonardo; Zhao, Hongkai: Fast alternating bidirectional preconditioner for the 2D high-frequency Lippmann-Schwinger equation (2016)
  14. Bowman, John C.; Roberts, Malcolm: Adaptive matrix transpose algorithms for distributed multicore processors (2015)
  15. Bredies, Kristian; Holler, Martin: A TGV-based framework for variational image decompression, zooming, and reconstruction. II: Numerics (2015)
  16. Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Schwab, Christoph: Fast QMC matrix-vector multiplication (2015)
  17. Foulds, Leslie R.; de Morais Neto, Jorge P.; Longo, Humberto J.; do Nascimento, Hugo A.D.; Martins, Wellington S.: A variant of $k$-nearest neighbors search with cyclically permuted query points for rotation-invariant image processing (2015)
  18. Garcia, F.; Sánchez, J.; Dormy, E.; Net, M.: Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions (2015)
  19. Hudspith, R.J.: Fourier accelerated conjugate gradient lattice Gauge fixing (2015)
  20. Javaloyes, J.; Balle, S.: Rational Chebyshev spectral transform for the dynamics of broad-area laser diodes (2015)

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