SHTns is a high-performance Spherical Harmonic Transform library. It was designed for numerical simulation (fluid flows, mhd, etc.) in spherical geometries, but can be used for any kind of problem involving scalar or vector spherical harmonics. It is very fast, thanks to careful vectorization and runtime tuning. It supports multi-threaded transforms via OpenMP. It features scalar and vector transforms, synthesis and analysis, and flexible truncation and normalization. A Python interface is included. (Source:

References in zbMATH (referenced in 13 articles )

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  1. Hamon, François P.; Schreiber, Martin; Minion, Michael L.: Multi-level spectral deferred corrections scheme for the shallow water equations on the rotating sphere (2019)
  2. Gross, B.; Atzberger, P. J.: Spectral numerical exterior calculus methods for differential equations on radial manifolds (2018)
  3. Herrmann, Lukas; Lang, Annika; Schwab, Christoph: Numerical analysis of lognormal diffusions on the sphere (2018)
  4. Nestler, Michael; Nitschke, Ingo; Praetorius, Simon; Voigt, Axel: Orientational order on surfaces: the coupling of topology, geometry, and dynamics (2018)
  5. Oh, Sahuck; Jiang, Chung-Hsiang; Jiang, Chiyu; Marcus, Philip S.: Finding the optimal shape of the leading-and-trailing car of a high-speed train using design-by-morphing (2018)
  6. Sorgentone, Chiara; Tornberg, Anna-Karin: A highly accurate boundary integral equation method for surfactant-laden drops in 3D (2018)
  7. Aubert, Julien; Gastine, Thomas; Fournier, Alexandre: Spherical convective dynamos in the rapidly rotating asymptotic regime (2017)
  8. Child, Adam; Hollerbach, Rainer; Kersalé, Evy: Axisymmetric pulse train solutions in narrow-gap spherical Couette flow (2017)
  9. Vidal, Jérémie; Cébron, David: Inviscid instabilities in rotating ellipsoids on eccentric Kepler orbits (2017)
  10. Gastine, Thomas; Wicht, Johannes; Aubert, Julien: Scaling regimes in spherical shell rotating convection (2016)
  11. Marti, P.; Jackson, A.: A fully spectral methodology for magnetohydrodynamic calculations in a whole sphere (2016)
  12. Banerjee, Amartya S.; Elliott, Ryan S.; James, Richard D.: A spectral scheme for Kohn-Sham density functional theory of clusters (2015)
  13. Roy, Clément; Schaeffer, Nathanaël; Le Dizès, Stéphane; Thompson, Mark: Stability of a pair of co-rotating vortices with axial flow (2008)