CHEBINT swMATH ID: 6927 Software Authors: Poppe, Koen; Cools, Ronald Description: CHEBINT: a MATLAB/Octave toolbox for fast multivariate Chebyshev approximation CHEBINT is a MATLAB/Octave toolbox that provides a user-friendly interface to multivariate Chebyshev approximations. It features highly efficient, fast FFT-based, algorithms to determine the approximation (see [2]) that are based on the theory of Chebyshev lattices as introduced in [1]. The approximations itself can then be manipulated, somehow similarly to symbolic equations: the toolbox provides definite/indefinite integration and differentiation, and basic operators like addition, subtraction, multiplication and division (as described in [3]). Homepage: http://nines.cs.kuleuven.be/software/CHEBINT/ Dependencies: Matlab Keywords: multivariate Chebyshev approximation Related Software: Matlab; Padua2D; Padua2DM; Chebfun; LC3Ditp; LD3Ditp; LS2Ditp; Algorithm 792; Octave; CUBPACK; Python; LC2Ditp; quadpy; polyquad; polygons; GitHub; sparseFFTr1l; RDisk; LSphere; TEST_INT Cited in: 14 Publications Further Publications: http://nines.cs.kuleuven.be/research/publications/ all top 5 Cited by 21 Authors 4 Erb, Wolfgang 3 Cools, Ronald 3 Poppe, Koen 2 Trefethen, Lloyd Nicholas 1 Ahlborg, Mandy 1 Aurentz, Jared Lee 1 Buzug, Thorsten M. 1 Dencker, Peter 1 Forbes, G. W. 1 Ganesh, Mahadevan 1 Ghili, Saman 1 Hawkins, Stuart Collin 1 Iaccarino, Gianluca 1 Johnson, Robert W. 1 Kaethner, Christian 1 Kuo, Frances Y. 1 Migliorati, Giovanni 1 Nobile, Fabio 1 Nuyens, Dirk 1 Rolland, Jannick P. 1 Takaki, Nick all top 5 Cited in 10 Serials 3 ACM Transactions on Mathematical Software 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 BIT 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Constructive Approximation 1 SIAM Review 1 SIAM Journal on Scientific Computing all top 5 Cited in 7 Fields 13 Numerical analysis (65-XX) 11 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 1 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year