FastGaussQuadrature swMATH ID: 18387 Software Authors: A. Townsend Description: FastGaussQuadrature.jl: A Julia package to compute n-point Gauss quadrature nodes and weights to 16-digit accuracy and in O(n) time. So far the package includes gausschebyshev(), gausslegendre(), gaussjacobi(), gaussradau(), gausslobatto(), gausslaguerre(), and gausshermite(). This package is heavily influenced by Chebfun. Homepage: https://github.com/ajt60gaibb/FastGaussQuadrature.jl Source Code: https://github.com/ajt60gaibb/FastGaussQuadrature.jl Related Software: Chebfun; DLMF; Matlab; OPQ; Mathematica; GitHub; LAGUERRE; mctoolbox; gaussq.f; MPFR; Mulprec; OrthogonalPolynomials; ORTHPOL; Algorithm 973; TetraFreeQ; CUB_RS; NNLSlab; inRS; Loewner; RKToolbox Cited in: 55 Publications all top 5 Cited by 99 Authors 4 Gil, Amparo 4 Segura, Javier 4 Temme, Nico M. 4 Xiang, Shuhuang 3 Aceto, Lidia 3 Bremer, James C. 3 Huybrechs, Daan 3 Novati, Paolo 3 Townsend, Alex 2 Dimitrov, Dimitar K. 2 Huang, Jin 2 Liu, Guidong 2 Liu, Zhenbao 2 Olver, Sheehan Shakiban 2 Sommariva, Alvise 2 Tang, Xiaojun 2 Wang, Yifei 1 Acosta, Gabriel 1 Ali, Zulfiqar 1 Area, Iván 1 Azizi, Mohammad-Reza 1 Babolian, Esmail 1 Bardenet, Rémi 1 Berzins, Martin 1 Borthagaray, Juan Pablo 1 Briggs, J. P. 1 Bruno, Oscar P. 1 Brzeziński, Dariush W. 1 Brzeziński, Dariusz W. 1 Damle, Anil 1 De Micheli, Enrico 1 Deaño, Alfredo 1 Deng, Ting 1 Elgindy, Kareem T. 1 Esmaeili, Shahrokh 1 Fergusson, James R. 1 Garrappa, Roberto 1 Gemignani, Luca 1 Godoy, Eduardo Paciência 1 Guimarães, Osvaldo 1 Hale, Nicholas 1 Hardy, Adrien 1 Hrycak, Tomasz 1 Hu, Yu 1 Huang, Lu 1 Jahanshahi, Salman 1 Jäykkä, Juha 1 Khani, Ali 1 Kirby, Robert M. II 1 Kleefeld, Andreas 1 Labecca, William 1 Laudadio, Teresa 1 Lepage, Kyle Q. 1 Li, Hu 1 Ma, Weiyin 1 Maas, Martin 1 MacDonald, Christopher J. 1 Majidian, Hassan 1 Marco García, Ana 1 Martínez, José-Javier 1 Mastronardi, Nicola 1 Meurant, Gérard A. 1 Milovanović, Gradimir V. 1 Opsomer, Peter 1 Ouermi, T. A. J. 1 Paschoa, Vanessa G. 1 Pearson, John W. 1 Peixoto, Lourenço L. 1 Pennycook, S. J. 1 Piqueira, José Roberto Castilho 1 Popolizio, Marina 1 Porter, Mason Alexander 1 Reichel, Lothar 1 Reichwein, E. 1 Rokhlin, Vladimir 1 Rutka, Przemysław 1 Saadatmandi, Abbas 1 Saye, Robert I. 1 Schmutzhard, Sebastian 1 Shellard, E. P. S. 1 Slevinsky, Richard Mikaël 1 Smarzewski, Ryszard 1 Spalević, Miodrag M. 1 Tang, Li 1 Torres, Delfim Fernando Marado 1 Trefethen, Lloyd Nicholas 1 Vahidi, A. R. 1 Van Dooren, Paul M. 1 Vandewalle, Stefan G. 1 Viaña, Raquel 1 Vianello, Marco 1 Viano, Giovanni Alberto 1 Wang, Haiyong 1 Wang, Xin 1 Wen, Xiaoxia 1 Wilber, Heather 1 Zhang, Bo 1 Zhang, Hui 1 Zhang, Zhiwei all top 5 Cited in 32 Serials 5 Numerical Algorithms 5 SIAM Journal on Scientific Computing 4 Journal of Computational Physics 3 Mathematics of Computation 3 Numerische Mathematik 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Automatica 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Applied Mathematics and Nonlinear Sciences 1 Chaos, Solitons and Fractals 1 BIT 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Computer Aided Geometric Design 1 Applied Mathematics Letters 1 The Annals of Applied Probability 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 SIAM Review 1 Applied and Computational Harmonic Analysis 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Journal of Computational Neuroscience 1 ELA. The Electronic Journal of Linear Algebra 1 Fractional Calculus & Applied Analysis 1 Acta Numerica 1 Tbilisi Mathematical Journal all top 5 Cited in 20 Fields 47 Numerical analysis (65-XX) 18 Approximations and expansions (41-XX) 13 Special functions (33-XX) 8 Real functions (26-XX) 6 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year