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 384 articles , 1 standard article )

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  1. An, Congpei; Wu, Hao-Ning: Tikhonov regularization for polynomial approximation problems in Gauss quadrature points (2021)
  2. Bespalov, Alex; Rocchi, Leonardo; Silvester, David: T-IFISS: a toolbox for adaptive FEM computation (2021)
  3. Jagels, Carl; Jbilou, Khalide; Reichel, Lothar: The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation (2021)
  4. Kaarnioja, Vesa: Bounds on the spectrum of nonsingular triangular (0,1)-matrices (2021)
  5. Magnus, Alphonse P.; Ndayiragije, François; Ronveaux, André: About families of orthogonal polynomials satisfying Heun’s differential equation (2021)
  6. Bardenet, Rémi; Flamant, Julien; Chainais, Pierre: On the zeros of the spectrogram of white noise (2020)
  7. Bardenet, Rémi; Hardy, Adrien: Monte Carlo with determinantal point processes (2020)
  8. Bespalov, Alex; Xu, Feng: A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: beyond the affine case (2020)
  9. Burkardt, John; Gunzburger, Max; Zhao, Wenju: High-precision computation of the weak Galerkin methods for the fourth-order problem (2020)
  10. Choi, Hee-Sun; Kim, Jin-Gyun; Doostan, Alireza; Park, K. C.: Acceleration of uncertainty propagation through Lagrange multipliers in partitioned stochastic method (2020)
  11. Costabile, F. A.; Gualtieri, M. I.; Napoli, A.: Matrix calculus-based approach to orthogonal polynomial sequences (2020)
  12. Díaz de Alba, Patricia; Fermo, Luisa; Rodriguez, Giuseppe: Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules (2020)
  13. Dominici, Diego: Matrix factorizations and orthogonal polynomials (2020)
  14. Dominici, Diego: Power series expansion of a Hankel determinant (2020)
  15. Fan, Yuwei; Li, Ruo; Zheng, Lingchao: A nonlinear hyperbolic model for radiative transfer equation in slab geometry (2020)
  16. Foupouagnigni, Mama: An introduction to orthogonal polynomials (2020)
  17. Garza-Vargas, Jorge; Kulkarni, Archit: The Lanczos algorithm under few iterations: concentration and location of the output (2020)
  18. Glaubitz, Jan: Stable high order quadrature rules for scattered data and general weight functions (2020)
  19. Glaubitz, Jan; Öffner, Philipp: Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points (2020)
  20. Guo, Ling; Narayan, Akil; Zhou, Tao: Constructing least-squares polynomial approximations (2020)

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