## 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 Related Software: Matlab; DLMF; OrthogonalPolynomials; ORTHPOL; Chebfun; Mathematica; mftoolbox; blgaussexp; ALEA; GitHub; OEIS; GQRAT; sgcen; FastGaussQuadrature; SRJAC; mctoolbox; Regularization tools; Differentiation Matrix Suite; GQLOG; SingularIntegralEquations Referenced in: 442 Publications

### Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Orthogonal polynomials. Computation and approximation. Zbl 1130.42300
Gautschi, Walter
2004
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### Referenced by 557 Authors

 33 Reichel, Lothar 23 Milovanović, Gradimir V. 21 Gautschi, Walter 19 Spalević, Miodrag M. 15 Vianello, Marco 13 Sommariva, Alvise 11 Barry, Paul 8 Marcellán Español, Francisco 8 Pranic, Miroslav S. 7 Rahman, Sharif 6 Bespalov, Alexei 6 Cvetković, Aleksandar S. 6 Hasçelik, Ali İhsan 6 Huybrechs, Daan 6 Jagels, Carl F. 6 Olver, Sheehan Shakiban 6 Rodriguez, Giuseppe 6 Xiang, Shuhuang 5 Deaño, Alfredo 5 Mañas, Manuel 5 Mantica, Giorgio 5 Narayan, Akil C. 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 Đukić, Dušan Lj. 4 Erb, Wolfgang 4 Esmaeili, Shahrokh 4 Fox, Rodney O. 4 Gittelson, Claude Jeffrey 4 Illán González, Jesús 4 Jiang, Yaolin 4 Karvonen, Toni 4 Khosravian-Arab, Hassan 4 Laurent, Frédérique 4 Mehrpouya, Mohammad Ali 4 Moreno-Balcázar, Juan José 4 Särkkä, Simo 4 Strakoš, Zdeněk 4 Sudret, Bruno 3 Alahmadi, J. 3 Andreev, Roman 3 Bardenet, Rémi 3 Cachafeiro, Alicia 3 Calabró, Francesco 3 Da Fies, Gaspare 3 Dominici, Diego Ernesto 3 Guo, Shimin 3 Ha, Hyungtae 3 Jbilou, Khalide 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 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 Azhmyakov, Vadim 2 Bal, Guillaume 2 Beck, Joakim 2 Beckermann, Bernhard 2 Bentbib, Abdeslem Hafid 2 Berriochoa, Elías 2 Bigoni, Daniele 2 Bracciali, Cleonice Fátima 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 Eigel, Martin 2 Eisinberg, Alfredo 2 Emsiz, Erdal 2 Engsig-Karup, Allan P. 2 Fedele, Giuseppe 2 Fenu, Caterina 2 Fermo, Luisa 2 Filipuk, Galina V. 2 Foroozandeh, Zahra ...and 457 more Authors
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### Referenced in 129 Serials

 46 Journal of Computational and Applied Mathematics 38 Numerical Algorithms 18 Applied Mathematics and Computation 17 BIT 14 Journal of Computational Physics 13 Mathematics of Computation 13 Linear Algebra and its Applications 13 SIAM Journal on Scientific Computing 12 Computer Methods in Applied Mechanics and Engineering 12 Journal of Approximation Theory 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 Advances in Computational Mathematics 6 ETNA. Electronic Transactions on Numerical Analysis 5 Calcolo 5 Journal of Scientific Computing 4 Mathematical Methods in the Applied Sciences 4 International Journal for Numerical Methods in Engineering 4 Applied Mathematical Modelling 4 SIAM Journal on Applied Mathematics 3 Journal of the Franklin Institute 3 Journal of Mathematical Physics 3 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 3 Automatica 3 Mathematics and Computers in Simulation 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Matrix Analysis and Applications 3 Applied and Computational Harmonic Analysis 3 Integral Transforms and Special Functions 2 International Journal of Control 2 Inverse Problems 2 Journal of Engineering Mathematics 2 ACM Transactions on Mathematical Software 2 Advances in Mathematics 2 Journal of Econometrics 2 Numerical Functional Analysis and Optimization 2 Systems & Control Letters 2 Journal of Integral Equations and Applications 2 SIAM Review 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Journal of Difference Equations and Applications 2 The Journal of Fourier Analysis and Applications 2 Journal of Vibration and Control 2 Soft Computing 2 Fractional Calculus & Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Foundations of Computational Mathematics 2 Acta Numerica 2 Applicable Analysis and Discrete Mathematics 2 Statistics and Computing 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 Expositiones Mathematicae 1 Computational Statistics and Data Analysis 1 Experimental Mathematics 1 Test 1 The Journal of Analysis 1 Turkish Journal of Mathematics 1 Filomat 1 Opuscula Mathematica 1 Annals of Mathematics and Artificial Intelligence 1 Discrete and Continuous Dynamical Systems 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Computational Geosciences 1 Integers 1 Quantitative Finance 1 Computational Methods in Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 29 more Serials
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### Referenced in 45 Fields

 297 Numerical analysis (65-XX) 119 Approximations and expansions (41-XX) 113 Special functions (33-XX) 82 Harmonic analysis on Euclidean spaces (42-XX) 49 Partial differential equations (35-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 31 Probability theory and stochastic processes (60-XX) 23 Statistics (62-XX) 19 Real functions (26-XX) 18 Ordinary differential equations (34-XX) 17 Number theory (11-XX) 15 Combinatorics (05-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Systems theory; control (93-XX) 12 Functions of a complex variable (30-XX) 12 Operator theory (47-XX) 12 Fluid mechanics (76-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Integral equations (45-XX) 10 Operations research, mathematical programming (90-XX) 9 Quantum theory (81-XX) 8 Integral transforms, operational calculus (44-XX) 8 Functional analysis (46-XX) 8 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Measure and integration (28-XX) 5 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) 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 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)