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 271 articles , 1 standard article )

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  1. Alqahtani, Hessah; Reichel, Lothar: Simplified anti-Gauss quadrature rules with applications in linear algebra (2018)
  2. de la Calle Ysern, B.; Spalević, M.M.: Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules (2018)
  3. Hasegawa, Takemitsu; Sugiura, Hiroshi: Uniform approximation to Cauchy principal value integrals with logarithmic singularity (2018)
  4. Magnus, Alphonse P.: Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices (2018)
  5. Vabishchevich, Petr N.: Numerical solution of time-dependent problems with fractional power elliptic operator (2018)
  6. Barry, Paul: On the restricted Chebyshev-Boubaker polynomials (2017)
  7. Bentbib, A.H.; El Guide, M.; Jbilou, K.; Reichel, L.: Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (2017)
  8. Bourquin, Raoul: Algorithms for the construction of high-order Kronrod rule extensions with application to sparse-grid integration (2017)
  9. Chalons, C.; Fox, R.O.; Laurent, F.; Massot, Marc; Vié, Aymeric: Multivariate Gaussian extended quadrature method of moments for turbulent disperse multiphase flow (2017)
  10. Chapko, Roman; Johansson, B. Tomas: Numerical solution of the Dirichlet initial boundary value problem for the heat equation in exterior 3-dimensional domains using integral equations (2017)
  11. Deckers, Karl; Mougaida, Ahlem; Belhadjsalah, Hédi: Algorithm 973: Extended rational Fejér quadrature rules based on Chebyshev orthogonal rational functions (2017)
  12. Epstein, Charles L.; Wilkening, Jon: Eigenfunctions and the Dirichlet problem for the classical Kimura diffusion operator (2017)
  13. Foroozandeh, Zahra; Shamsi, Mostafa; Azhmyakov, Vadim; Shafiee, Masoud: A modified pseudospectral method for solving trajectory optimization problems with singular arc (2017)
  14. Gautschi, Walter: Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: analytic and empirical results (2017)
  15. Gautschi, Walter: Polynomials orthogonal with respect to cardinal B-spline weight functions (2017)
  16. Ghili, Saman; Iaccarino, Gianluca: Least squares approximation of polynomial chaos expansions with optimized grid points (2017)
  17. Gyurkovics, É.; Kiss, K.; Nagy, I.; Takács, T.: Multiple summation inequalities and their application to stability analysis of discrete-time delay systems (2017)
  18. Hou, Dianming; Xu, Chuanju: A fractional spectral method with applications to some singular problems (2017)
  19. Hyvönen, Nuutti; Kaarnioja, Vesa; Mustonen, Lauri; Staboulis, S.: Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography (2017)
  20. Illán-González, J.; Rebollido-Lorenzo, J.M.: Evaluation of finite part integrals using a regularization technique that decreases instability (2017)

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