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 517 articles , 1 standard article )

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  1. Molina de la Peña, I.; Calvo, M. L.; Alvarez-Estrada, R. F.: Neutron optics: new algorithm based on Green’s functions for simulating waveguides with Dirichlet boundary conditions (2022)
  2. Antil, Harbir; Dondl, Patrick; Striet, Ludwig: Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis (2021)
  3. Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios: Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations (2021)
  4. Bright, Curtis; Kotsireas, Ilias; Heinle, Albert; Ganesh, Vijay: Complex Golay pairs up to length 28: a search via computer algebra and programmatic SAT (2021)
  5. Caprace, Denis-Gabriel; Gillis, Thomas; Chatelain, Philippe: FLUPS: a Fourier-based library of unbounded Poisson solvers (2021)
  6. Cayama, Jorge; Cuesta, Carlota M.; de la Hoz, Francisco: A pseudospectral method for the one-dimensional fractional Laplacian on (\mathbbR) (2021)
  7. Chang, Yu-Jen; Chern, Ruey-Lin; Chou, Yi-Ju: Transient instability in long, tilted water columns with fast-settling, particle-laden layers (2021)
  8. Chernykh, Igor; Kulikov, Igor; Tutukov, Alexander: Hydrogen-helium chemical and nuclear galaxy collision: hydrodynamic simulations on AVX-512 supercomputers (2021)
  9. Choi, Gary P. T.; Rycroft, Chris H.: Volumetric density-equalizing reference map with applications (2021)
  10. Dick, Josef; Goda, Takashi; Murata, Hiroya: Toeplitz Monte Carlo (2021)
  11. Hare, Kevin G.; Jankauskas, Jonas: On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk (2021)
  12. Hendrik Ranocha: SummationByPartsOperators.jl: A Julia library of provably stable discretization techniques with mimetic properties (2021) not zbMATH
  13. Huang, Jingfang; Cao, Jian; Fang, Fuhui; Genton, Marc G.; Keyes, David E.; Turkiyyah, George: An (O(N)) algorithm for computing expectation of (N)-dimensional truncated multi-variate normal distribution. I: Fundamentals (2021)
  14. Hunt, Richard; Peiris, Shelton; Weber, Neville: A general frequency domain estimation method for Gegenbauer processes (2021)
  15. Jafarzadeh, Siavash; Wang, Longzhen; Larios, Adam; Bobaru, Florin: A fast convolution-based method for peridynamic transient diffusion in arbitrary domains (2021)
  16. Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni: High-dimensional sparse FFT based on sampling along multiple rank-1 lattices (2021)
  17. Languasco, Alessandro: Numerical verification of Littlewood’s bounds for (|L(1,\chi)|) (2021)
  18. Languasco, Alessandro: Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields (2021)
  19. Languasco, Alessandro; Righi, Luca: A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications (2021)
  20. Li, Yan: Three-dimensional surface gravity waves of a broad bandwidth on deep water (2021)

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