The FMMLIB2D suite permits the evaluation of potential fields due to particle sources, governed by either the Laplace or Helmholtz equation in free space. The codes are easy to use and reasonably well optimized for performance. It is being released under the GPL license (version 2) as published by the Free Software Foundation. A rudimentary manual is provided in the zip file in the FMM2D/doc directory. FMMLIB2D contains both Fortran source code and versions compiled for MATLAB under Mac OS X (64 bit), Windows (32 bit and 64 bit), and Linux (64 bit).

References in zbMATH (referenced in 29 articles )

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  1. Nasser, Mohamed M. S.; Vuorinen, Matti: Isoperimetric properties of condenser capacity (2021)
  2. Nasser, Mohamed M. S.; Vuorinen, Matti: Computation of conformal invariants (2021)
  3. Sangawi, Ali W. K.; Murid, Ali H. M.; Lee, Khiy Wei: Circular slit maps of multiply connected regions with application to brain image processing (2021)
  4. af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine: A fast integral equation method for the two-dimensional Navier-Stokes equations (2020)
  5. Fu, Szu-Pei P.; Ryham, Rolf; Klöckner, Andreas; Wala, Matt; Jiang, Shidong; Young, Yuan-Nan: Simulation of multiscale hydrophobic lipid dynamics via efficient integral equation methods (2020)
  6. Kalmoun, El Mostafa; Nasser, Mohamed M. S.; Vuorinen, Matti: Numerical computation of Mityuk’s function and radius for circular/radial slit domains (2020)
  7. Nasser, Mohamed M. S.; Vuorinen, Matti: Conformal invariants in simply connected domains (2020)
  8. Nasser, Mohamed M. S.; Vuorinen, Matti: Numerical computation of the capacity of generalized condensers (2020)
  9. Nasser, Mohamed M. S.: Numerical computing of preimage domains for bounded multiply connected slit domains (2019)
  10. af Klinteberg, Ludvig; Tornberg, Anna-Karin: Adaptive quadrature by expansion for layer potential evaluation in two dimensions (2018)
  11. Askham, T.: A stabilized separation of variables method for the modified biharmonic equation (2018)
  12. Barnett, Alex H.; Hassell, Andrew; Tacy, Melissa: Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues (2018)
  13. Huang, He; Luo, Li-Shi; Li, Rui; Chen, Jie; Zhang, He: Improve the efficiency of the Cartesian tensor based fast multipole method for Coulomb interaction using the traces (2018)
  14. Nasser, Mohamed M. S.: Numerical conformal mapping onto the parabolic, elliptic and hyperbolic slit domains (2018)
  15. Nasser, Mohamed M. S.; Green, Christopher C.: A fast numerical method for ideal fluid flow in domains with multiple stirrers (2018)
  16. Wala, Matt; Klöckner, Andreas: Conformal mapping via a density correspondence for the double-layer potential (2018)
  17. Liesen, Jörg; Sète, Olivier; Nasser, Mohamed M. S.: Fast and accurate computation of the logarithmic capacity of compact sets (2017)
  18. Epstein, Charles L.; O’Neil, Michael: Smoothed corners and scattered waves (2016)
  19. Marple, Gary R.; Barnett, Alex; Gillman, Adrianna; Veerapaneni, Shravan: A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape (2016)
  20. Nasser, Mohamed M. S.; Liesen, Jörg; Sète, Olivier: Numerical computation of the conformal map onto lemniscatic domains (2016)

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