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 229 articles , 1 standard article )

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  1. Hasegawa, Takemitsu; Sugiura, Hiroshi: Uniform approximation to Cauchy principal value integrals with logarithmic singularity (2018)
  2. Barry, Paul: On the restricted Chebyshev-Boubaker polynomials (2017)
  3. Bentbib, A.H.; El Guide, M.; Jbilou, K.; Reichel, L.: Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (2017)
  4. Epstein, Charles L.; Wilkening, Jon: Eigenfunctions and the Dirichlet problem for the classical Kimura diffusion operator (2017)
  5. Foroozandeh, Zahra; Shamsi, Mostafa; Azhmyakov, Vadim; Shafiee, Masoud: A modified pseudospectral method for solving trajectory optimization problems with singular arc (2017)
  6. Gautschi, Walter: Monotonicity properties of the zeros of freud and sub-range freud polynomials: analytic and empirical results (2017)
  7. Ghili, Saman; Iaccarino, Gianluca: Least squares approximation of polynomial chaos expansions with optimized grid points (2017)
  8. Gyurkovics, É.; Kiss, K.; Nagy, I.; Takács, T.: Multiple summation inequalities and their application to stability analysis of discrete-time delay systems (2017)
  9. Hyvönen, Nuutti; Kaarnioja, Vesa; Mustonen, Lauri; Staboulis, S.: Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography (2017)
  10. Illán-González, J.; Rebollido-Lorenzo, J.M.: Evaluation of finite part integrals using a regularization technique that decreases instability (2017)
  11. Jagels, Carl; Reichel, Lothar; Tang, Tunan: Generalized averaged Szeg\Hoquadrature rules (2017)
  12. Mao, Zhiping; Shen, Jie: Hermite spectral methods for fractional PDEs in unbounded domains (2017)
  13. Milovanović, Gradimir V.: Summation formulas of Euler-Maclaurin and Abel-Plana: old and new results and applications (2017)
  14. Oshagh, M.Khaksar-E; Shamsi, M.: Direct pseudo-spectral method for optimal control of obstacle problem-an optimal control problem governed by elliptic variational inequality (2017)
  15. Petrova, Guergana: Generalized Gauss-Radau and Gauss-Lobatto formulas with Jacobi weight functions (2017)
  16. Spalević, Miodrag M.: On generalized averaged Gaussian formulas. II (2017)
  17. van Assche, Walter: Majorization results for zeros of orthogonal polynomials (2017)
  18. Xu, Zhenhua; Xiang, Shuhuang: Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications (2017)
  19. Amiraslani, A.: Differentiation matrices in polynomial bases (2016)
  20. Andreev, Roman: On long time integration of the heat equation (2016)

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