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.

References in zbMATH (referenced in 423 articles , 1 standard article )

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  1. de la Calle Ysern, Bernardo; Spalević, Miodrag M.: On the computation of Patterson-type quadrature rules (2022)
  2. Roy, N.; Dürr, R.; Bück, A.; Kumar, J.; Sundar, S.: Numerical methods for particle agglomeration and breakage in lid-driven cavity flows at low Reynolds numbers (2022)
  3. van Diejen, J. F.: Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials (2022)
  4. Alahmadi, J.; Alqahtani, H.; Pranić, M. S.; Reichel, L.: Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix (2021)
  5. Alahmadi, J.; Pranić, M.; Reichel, L.: Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules (2021)
  6. Alhaidari, A. D.: Exponentially confining potential well (2021)
  7. An, Congpei; Wu, Hao-Ning: Tikhonov regularization for polynomial approximation problems in Gauss quadrature points (2021)
  8. An, Congpei; Wu, Hao-Ning: Lasso hyperinterpolation over general regions (2021)
  9. Awonusika, Richard Olu: On Jacobi polynomials and fractional spectral functions on compact symmetric spaces (2021)
  10. Barry, Paul: Generalized Catalan recurrences, Riordan arrays, elliptic curves, and orthogonal polynomials (2021)
  11. Baustian, Falko; Filipová, Kateřina; Pospíšil, Jan: Solution of option pricing equations using orthogonal polynomial expansion. (2021)
  12. Becher, Simon; Matthies, Gunar: Variational time discretizations of higher order and higher regularity (2021)
  13. Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos: Perturbations of Christoffel-Darboux kernels: detection of outliers (2021)
  14. Bentbib, A. H.; El Ghomari, M.; Jbilou, K.; Reichel, L.: Shifted extended global Lanczos processes for trace estimation with application to network analysis (2021)
  15. Bespalov, Alex; Loghin, Daniel; Youngnoi, Rawin: Truncation preconditioners for stochastic Galerkin finite element discretizations (2021)
  16. Bespalov, Alex; Rocchi, Leonardo; Silvester, David: T-IFISS: a toolbox for adaptive FEM computation (2021)
  17. Brubeck, Pablo D.; Nakatsukasa, Yuji; Trefethen, Lloyd N.: Vandermonde with Arnoldi (2021)
  18. Díaz-González, Abel; Marcellán, Francisco; Pijeira-Cabrera, Héctor; Urbina, Wilfredo: Discrete-continuous Jacobi-Sobolev spaces and Fourier series (2021)
  19. Djukić, Dušan Lj.; Mutavdžić Djukić, Rada M.; Reichel, Lothar; Spalević, Miodrag M.: Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind (2021)
  20. Dong, Chaohua; Linton, Oliver; Peng, Bin: A weighted sieve estimator for nonparametric time series models with nonstationary variables (2021)

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