SHTns swMATH ID: 5905 Software Authors: Nathanael Schaeffer Description: 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. Homepage: http://freecode.com/urls/327bb6f197b87bf3a967b5d8bb1cf0ba Programming Languages: C, SWIG, OpenMP, sse2, avx, Python Keywords: Scientific/Engineering; Mathematics; Software Development; Libraries Related Software: FFTW; pySDC; chammp; DLMF; PARDISO; pizza; Fluidity; petsc4py; Python; ASH; SciPy; mpi4py; SLEPc; LAPACK; pyParareal; PARAEXP; NFFT; SHTOOLS; Chebfun; FreeFem++ Cited in: 18 Publications all top 5 Cited by 43 Authors 3 Gastine, Thomas 2 Aubert, Julien 2 Fournier, Alexandre 2 Hamon, François P. 2 Minion, Michael L. 2 Schreiber, Martin 1 Abraham, Odile 1 Atzberger, Paul J. 1 Balac, Stéphane 1 Banerjee, Amartya S. 1 Cébron, David 1 Child, Adam 1 Chupin, Laurent 1 Elliott, Ryan S. 1 Gallezot, Matthieu 1 Gopinath, Venkatesh P. 1 Gross, B. J. 1 Herrmann, Lukas 1 Hollerbach, Rainer 1 James, Richard D. 1 Jiang, Chiyu 1 Jiang, Chung-Hsiang 1 Kersalé, Evy 1 Lang, Annika 1 Le Dizès, Stéphane 1 Marcus, Philip S. 1 Martin, Sébastien 1 Mildenberger, Sophie 1 Nestler, Michael 1 Nitschke, Ingo 1 Oh, Sahuck 1 Praetorius, Simon 1 Quellmalz, Michael 1 Roy, Clément 1 Schaeffer, Nathanaël 1 Schwab, Christoph 1 Sorgentone, Chiara 1 Thompson, Mark Christopher 1 Tornberg, Anna-Karin 1 Treyssède, Fabien 1 Vidal, Jérémie 1 Voigt, Axel 1 Wicht, Johannes all top 5 Cited in 11 Serials 6 Journal of Computational Physics 3 Journal of Fluid Mechanics 1 Wave Motion 1 Physica D 1 Computational Mechanics 1 Journal of Scientific Computing 1 Journal of Nonlinear Science 1 Physics of Fluids 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Stochastic and Partial Differential Equations. Analysis and Computations all top 5 Cited in 19 Fields 11 Fluid mechanics (76-XX) 9 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 3 Geophysics (86-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year