OPQ swMATH ID: 11881 Software Authors: Gautschi, Walter Description: Orthogonal polynomials. Computation and approximation. Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety: OPQ: A MATLAB SUITE OF PROGRAMS FOR GENERATING ORTHOGONAL POLYNOMIALS AND RELATED QUADRATURE RULES. Homepage: https://www.cs.purdue.edu/archives/2002/wxg/codes/OPQ.html Source Code: https://github.com/nickhale/quadpts/ Related Software: Matlab; DLMF; OrthogonalPolynomials; ORTHPOL; Chebfun; Mathematica; mftoolbox; GitHub; blgaussexp; ALEA; OEIS; FastGaussQuadrature; GQRAT; sgcen; Regularization tools; SRJAC; mctoolbox; Differentiation Matrix Suite; GQLOG; SingularIntegralEquations Cited in: 477 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Orthogonal polynomials. Computation and approximation. Zbl 1130.42300Gautschi, Walter 2004 all top 5 Cited by 601 Authors 36 Reichel, Lothar 25 Milovanović, Gradimir V. 25 Spalević, Miodrag M. 22 Gautschi, Walter 15 Vianello, Marco 13 Sommariva, Alvise 11 Barry, Paul 10 Marcellán Español, Francisco 8 Olver, Sheehan Shakiban 8 Pranic, Miroslav S. 7 Huybrechs, Daan 7 Rahman, Sharif 6 Bespalov, Alexei 6 Cvetković, Aleksandar S. 6 Đukić, Dušan Lj. 6 Hasçelik, Ali İhsan 6 Jagels, Carl F. 6 Mañas, Manuel 6 Rodriguez, Giuseppe 6 Xiang, Shuhuang 5 Deaño, Alfredo 5 Dominici, Diego Ernesto 5 Mantica, Giorgio 5 Narayan, Akil C. 5 Särkkä, Simo 5 Schwab, Christoph 5 Shamsi, Mostafa 5 Van Assche, Walter 5 Xu, Yuan 4 Alqahtani, Hessah 4 Ariznabarreta, Gerardo 4 Dehghan Takht Fooladi, Mehdi 4 Erb, Wolfgang 4 Esmaeili, Shahrokh 4 Fox, Rodney O. 4 Gittelson, Claude Jeffrey 4 Illán González, Jesús 4 Jbilou, Khalide 4 Jiang, Yaolin 4 Karvonen, Toni 4 Khosravian-Arab, Hassan 4 Laurent, Frédérique 4 Mehrpouya, Mohammad Ali 4 Moreno-Balcázar, Juan José 4 Pejčev, Aleksandar V. 4 Strakoš, Zdeněk 4 Sudret, Bruno 4 Tomanović, Jelena D. 3 Alahmadi, J. 3 Andreev, Roman 3 Bardenet, Rémi 3 Bentbib, Abdeslem Hafid 3 Bracciali, Cleonice Fátima 3 Cachafeiro, Alicia 3 Calabró, Francesco 3 Da Fies, Gaspare 3 Fermo, Luisa 3 Guo, Shimin 3 Ha, Hyungtae 3 Huertas Cejudo, Edmundo José 3 Kaarnioja, Vesa 3 Magnus, Alphonse Ph. 3 Mei, Liquan 3 Meurant, Gérard A. 3 Mhaskar, Hrushikesh N. 3 Mustonen, Lauri 3 Pérez, Teresa E. 3 Phipps, Eric T. 3 Plešinger, Martin 3 Qi, Zhen-Zhong 3 Rocchi, Leonardo 3 Sadok, Hassane 3 Slevinsky, Richard Mikaël 3 Tamellini, Lorenzo 3 Thalhammer, Mechthild 3 Van Barel, Marc 3 van Diejen, Jan Felipe 3 Xiao, Zhihua 3 Xu, Zhenhua 2 Almeida, Ricardo 2 An, Congpei 2 Ariba, Yassine 2 Arnst, Maarten 2 Asmuss, Svetlana V. 2 Awonusika, Richard Olu 2 Azhmyakov, Vadim 2 Bal, Guillaume 2 Beck, Joakim 2 Beckermann, Bernhard 2 Berriochoa, Elías 2 Bigoni, Daniele 2 Caliari, Marco 2 Constantine, Paul G. 2 Currie, Sonja 2 da Rocha, Zélia 2 de la Calle Ysern, Bernardo 2 De Marchi, Stefano 2 Dong, Chaohua 2 Eigel, Martin 2 Eisinberg, Alfredo ...and 501 more Authors all top 5 Cited in 134 Serials 46 Journal of Computational and Applied Mathematics 45 Numerical Algorithms 18 Applied Mathematics and Computation 18 BIT 16 Journal of Computational Physics 14 SIAM Journal on Scientific Computing 13 Mathematics of Computation 13 Journal of Approximation Theory 13 Linear Algebra and its Applications 12 Computer Methods in Applied Mechanics and Engineering 11 Numerische Mathematik 10 Applied Numerical Mathematics 9 SIAM/ASA Journal on Uncertainty Quantification 8 Computers & Mathematics with Applications 8 Journal of Integer Sequences 7 International Journal of Computer Mathematics 7 ETNA. 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Serie A: Matemáticas. RACSAM 2 Bulletin of Mathematical Sciences 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Physics Reports 1 Theoretical and Mathematical Physics 1 The Annals of Statistics 1 Czechoslovak Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of Multivariate Analysis 1 Theoretical Computer Science 1 Optimal Control Applications & Methods 1 Physica D 1 Statistics 1 Constructive Approximation 1 Neural Networks 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Statistics. 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The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Journal of Inequalities and Applications ...and 34 more Serials all top 5 Cited in 45 Fields 319 Numerical analysis (65-XX) 127 Special functions (33-XX) 127 Approximations and expansions (41-XX) 92 Harmonic analysis on Euclidean spaces (42-XX) 53 Partial differential equations (35-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 32 Probability theory and stochastic processes (60-XX) 25 Statistics (62-XX) 20 Real functions (26-XX) 20 Ordinary differential equations (34-XX) 18 Number theory (11-XX) 15 Combinatorics (05-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Fluid mechanics (76-XX) 14 Systems theory; control (93-XX) 13 Functions of a complex variable (30-XX) 13 Operator theory (47-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Integral equations (45-XX) 11 Operations research, mathematical programming (90-XX) 9 Computer science (68-XX) 9 Quantum theory (81-XX) 8 Integral transforms, operational calculus (44-XX) 8 Functional analysis (46-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of deformable solids (74-XX) 6 Measure and integration (28-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Biology and other natural sciences (92-XX) 4 Difference and functional equations (39-XX) 4 Sequences, series, summability (40-XX) 4 Information and communication theory, circuits (94-XX) 3 Geophysics (86-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year