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; Chebfun; ORTHPOL; Mathematica; mftoolbox; blgaussexp; GitHub; GQRAT; FastGaussQuadrature; ALEA; OEIS; mctoolbox; sgcen; Regularization tools; SRJAC; GQLOG; SingularIntegralEquations; Differentiation Matrix Suite Cited in: 526 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 662 Authors 41 Reichel, Lothar 32 Spalević, Miodrag M. 26 Milovanović, Gradimir V. 22 Gautschi, Walter 15 Vianello, Marco 13 Marcellán Español, Francisco 13 Sommariva, Alvise 11 Barry, Paul 11 Đukić, Dušan Lj. 9 Pranic, Miroslav S. 8 Olver, Sheehan Shakiban 7 Huybrechs, Daan 7 Rahman, Sharif 7 Rodriguez, Giuseppe 7 Tomanović, Jelena D. 7 Xu, Yuan 6 Bespalov, Alexei 6 Cvetković, Aleksandar S. 6 Dominici, Diego Ernesto 6 Hasçelik, Ali İhsan 6 Jagels, Carl F. 6 Mañas, Manuel 6 Mutavdžić Djukić, Rada M. 6 Narayan, Akil C. 6 Pejčev, Aleksandar V. 6 Schwab, Christoph 6 Xiang, Shuhuang 5 Deaño, Alfredo 5 Fermo, Luisa 5 Mantica, Giorgio 5 Pérez, Teresa E. 5 Särkkä, Simo 5 Shamsi, Mostafa 5 Van Assche, Walter 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 Kröker, Ilja 4 Laurent, Frédérique 4 Mehrpouya, Mohammad Ali 4 Meurant, Gérard A. 4 Moreno-Balcázar, Juan José 4 Oladyshkin, Sergey 4 Piñar, Miguel A. 4 Strakoš, Zdeněk 4 Sudret, Bruno 4 Van Barel, Marc 4 Xu, Zhenhua 3 Alahmadi, J. 3 An, Congpei 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 Guo, Shimin 3 Ha, Hyungtae 3 Huertas Cejudo, Edmundo José 3 Kaarnioja, Vesa 3 Laudadio, Teresa 3 Magnus, Alphonse Ph. 3 Mastronardi, Nicola 3 Mei, Liquan 3 Mhaskar, Hrushikesh N. 3 Mustonen, Lauri 3 Nowak, Wolfgang 3 Phipps, Eric T. 3 Plešinger, Martin 3 Qi, Zhen-Zhong 3 Rocchi, Leonardo 3 Sadok, Hassane 3 Slevinsky, Richard Mikaël 3 Stanić, Marija P. 3 Tamellini, Lorenzo 3 Thalhammer, Mechthild 3 Tichý, Petr 3 van Diejen, Jan Felipe 3 Wang, Haiyong 3 Wu, Hao-Ning 3 Xiao, Zhihua 2 Almeida, Ricardo 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 ...and 562 more Authors all top 5 Cited in 138 Serials 54 Journal of Computational and Applied Mathematics 49 Numerical Algorithms 19 Journal of Computational Physics 19 Applied Mathematics and Computation 18 BIT 17 SIAM Journal on Scientific Computing 15 Applied Numerical Mathematics 15 Linear Algebra and its Applications 14 Mathematics of Computation 14 Journal of Approximation Theory 12 Computer Methods in Applied Mechanics and Engineering 12 Numerische Mathematik 11 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 Queueing Systems 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 ...and 38 more Serials all top 5 Cited in 46 Fields 351 Numerical analysis (65-XX) 145 Approximations and expansions (41-XX) 140 Special functions (33-XX) 101 Harmonic analysis on Euclidean spaces (42-XX) 57 Partial differential equations (35-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 37 Probability theory and stochastic processes (60-XX) 27 Statistics (62-XX) 22 Real functions (26-XX) 22 Ordinary differential equations (34-XX) 17 Number theory (11-XX) 17 Fluid mechanics (76-XX) 16 Combinatorics (05-XX) 16 Systems theory; control (93-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Functions of a complex variable (30-XX) 13 Operator theory (47-XX) 12 Integral equations (45-XX) 12 Computer science (68-XX) 12 Operations research, mathematical programming (90-XX) 11 Functional analysis (46-XX) 9 Quantum theory (81-XX) 8 Integral transforms, operational calculus (44-XX) 7 Measure and integration (28-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of deformable solids (74-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Biology and other natural sciences (92-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 4 Sequences, series, summability (40-XX) 4 Geophysics (86-XX) 3 Mechanics of particles and systems (70-XX) 2 Abstract harmonic analysis (43-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) 1 Mathematics education (97-XX) Citations by Year