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 553 articles , 1 standard article )

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  1. Caliari, Marco; Cassini, Fabio; Einkemmer, Lukas; Ostermann, Alexander; Zivcovich, Franco: A (\mu)-mode integrator for solving evolution equations in Kronecker form (2022)
  2. Christoph W. Wagner; Sebastian Semper; Jan Kirchhof: fastmat: Efficient linear transforms in Python (2022) not zbMATH
  3. González, Alejandra; Haro, Àlex; de la Llave, Rafael: Efficient and reliable algorithms for the computation of non-twist invariant circles (2022)
  4. Gopinath, Venkatesh; Fournier, Alexandre; Gastine, Thomas: An assessment of implicit-explicit time integrators for the pseudo-spectral approximation of Boussinesq thermal convection in an annulus (2022)
  5. Hertel, Tobias; Besse, Nicolas; Frisch, Uriel: The Cauchy-Lagrange method for 3D-axisymmetric wall-bounded and potentially singular incompressible Euler flows (2022)
  6. Jafarzadeh, Siavash; Mousavi, Farzaneh; Larios, Adam; Bobaru, Florin: A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture (2022)
  7. Leute, Richard J.; Ladecký, Martin; Falsafi, Ali; Jödicke, Indre; Pultarová, Ivana; Zeman, Jan; Junge, Till; Pastewka, Lars: Elimination of ringing artifacts by finite-element projection in FFT-based homogenization (2022)
  8. Li, Gaojin: Swimming dynamics of a self-propelled droplet (2022)
  9. 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)
  10. Nair, Nirmal J.; Goza, Andres: A strongly coupled immersed boundary method for fluid-structure interaction that mimics the efficiency of stationary body methods (2022)
  11. Pan, Xiaomin; Kim, Ki-Ha; Choi, Jung-Il: Monolithic projection-based method with staggered time discretization for solving non-Oberbeck-Boussinesq natural convection flows (2022)
  12. Pasquale C. Africa, Roberto Piersanti, Marco Fedele, Luca Dede’, Alfio Quarteroni: lifex - heart module: a high-performance simulator for the cardiac function. Package 1: Fiber generation (2022) arXiv
  13. Sinhababu, Arijit; Bhattacharya, Anirban: A pseudo-spectral based efficient volume penalization scheme for Cahn-Hilliard equation in complex geometries (2022)
  14. Antil, Harbir; Dondl, Patrick; Striet, Ludwig: Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis (2021)
  15. Barthels, Henrik; Psarras, Christos; Bientinesi, Paolo: Linnea. Automatic generation of efficient linear algebra programs (2021)
  16. Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios: Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations (2021)
  17. Bright, Curtis; Kotsireas, Ilias; Heinle, Albert; Ganesh, Vijay: Complex Golay pairs up to length 28: a search via computer algebra and programmatic SAT (2021)
  18. Caprace, Denis-Gabriel; Gillis, Thomas; Chatelain, Philippe: FLUPS: a Fourier-based library of unbounded Poisson solvers (2021)
  19. Cayama, Jorge; Cuesta, Carlota M.; de la Hoz, Francisco: A pseudospectral method for the one-dimensional fractional Laplacian on (\mathbbR) (2021)
  20. Chang, Yu-Jen; Chern, Ruey-Lin; Chou, Yi-Ju: Transient instability in long, tilted water columns with fast-settling, particle-laden layers (2021)

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