Matlab-RBF-Toolbox swMATH ID: 32055 Software Authors: Sarra, S.A. Description: The Matlab radial basis function toolbox. Radial Basis Function (RBF) methods are important tools for scattered data interpolation and for the solution of Partial Differential Equations in complexly shaped domains. The most straight forward approach used to evaluate the methods involves solving a linear system which is typically poorly conditioned. The Matlab Radial Basis Function toolbox features a regularization method for the ill-conditioned system, extended precision floating point arithmetic, and symmetry exploitation for the purpose of reducing flop counts of the associated numerical linear algebra algorithms. Homepage: https://openresearchsoftware.metajnl.com/articles/10.5334/jors.131/ Source Code: https://github.com/scottsarra/Matlab-RBF-Toolbox/ Dependencies: Matlab Keywords: RBF; Radial Basis Functions; numerical partial differential equations; extended precision; Matlab; object oriented programming; Journal of Open Research Software Related Software: Matlab; rbf_qr; RBFT; GaussQR; advanpix; FELICITY; AAA; ARPACK Cited in: 6 Documents Standard Articles 1 Publication describing the Software Year all top 5 Cited by 11 Authors 2 De Marchi, Stefano 2 Perracchione, Emma 2 Sarra, Scott A. 1 Bai, Yikun 1 Campagna, Rosanna 1 Cuomo, Salvatore 1 Gilani, Faheem 1 Harlim, John 1 Severino, Gerardo 1 Skulkhu, Ruth J. 1 Yensiri, Suranon Cited in 5 Serials 2 Applied Numerical Mathematics 1 Journal of Computational Physics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Mathematics all top 5 Cited in 6 Fields 6 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) Citations by Year