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 290 articles , 1 standard article )

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  1. Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M.; Tomanović, Jelena D.: Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind (2019)
  2. Alqahtani, Hessah; Reichel, Lothar: Simplified anti-Gauss quadrature rules with applications in linear algebra (2018)
  3. Ariznabarreta, Gerardo; García-Ardila, Juan C; Mañas, Manuel; Marcellán, Francisco: Non-abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations (2018)
  4. Barry, Paul: On a transformation of Riordan moment sequences (2018)
  5. Barry, Paul; Mesinga Mwafise, Arnauld: Classical and semi-classical orthogonal polynomials defined by Riordan arrays, and their moment sequences (2018)
  6. Bespalov, Alex; Rocchi, Leonardo: Efficient adaptive algorithms for elliptic PDEs with random data (2018)
  7. de la Calle Ysern, B.; Spalević, M. M.: Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules (2018)
  8. Feng, Qian; Nguang, Sing Kiong: Dissipative delay range analysis of coupled differential-difference delay systems with distributed delays (2018)
  9. Fox, Rodney O.; Laurent, Frédérique; Vié, Aymeric: Conditional hyperbolic quadrature method of moments for kinetic equations (2018)
  10. Gomez, Christophe; Pinaud, Olivier: Monte Carlo methods for radiative transfer with singular kernels (2018)
  11. Hasegawa, Takemitsu; Sugiura, Hiroshi: Uniform approximation to Cauchy principal value integrals with logarithmic singularity (2018)
  12. Hyvönen, Nuutti; Mustonen, Lauri: Thermal tomography with unknown boundary (2018)
  13. Magnus, Alphonse P.: Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices (2018)
  14. Messaoudi, A.; Sadaka, R.; Sadok, H.: New algorithm for computing the Hermite interpolation polynomial (2018)
  15. Pigou, Maxime; Morchain, Jér^ome; Fede, Pascal; Penet, Marie-Isabelle; Laronze, Geoffrey: New developments of the extended quadrature method of moments to solve population balance equations (2018)
  16. Plešinger, Martin; Pultarová, Ivana: On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials (2018)
  17. Rahman, Sharif: Mathematical properties of polynomial dimensional decomposition (2018)
  18. Vabishchevich, Petr N.: Numerical solution of time-dependent problems with fractional power elliptic operator (2018)
  19. Barry, Paul: On the restricted Chebyshev-Boubaker polynomials (2017)
  20. Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L.: Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (2017)

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