Bibliography for Gauss-Laguerre Quadrature

short

 

  1. On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas
    Ehrich, Sven
    Journal of Computational and Applied Mathematics, 2002, vol. 140, no. ER1-2, pp. 291-299, Ingenta.  
  2. On a new family of Gaussian quadrature formulae of Birkhoff type and some lumped mass spectral approximations. II. Generalized Laguerre case on semi-infinite domains.  
    Guessab, Allal
    Int. J. Pure Appl. Math.  3  (2002),  no. 2, 193--239, MathSciNet.      
  3. Convergence acceleration of the Gauss-Laguerre quadrature formula.
    Kzaz, M.
    Applied numerical mathematics, 1999, vol. 29, no. 2, pp. 201-220, Ingenta.  
  4. A Gauss-Laguerre quadrature formula with coincident knots. (Chinese)
    He, Ke Ming
    J. Hangzhou Univ. Natur. Sci. Ed. 22 (1995), no. 1, 7--12, MathSciNet.      
  5. The Gauss-Laguerre Quadrature Rule for Finite-part Integrals.
    Ioakimidis, N.I.
    Communications in numerical methods in engineering, 1993, vol. 9, no. 5, pp. 439-450, Ingenta.  
  6. Gauss-Laguerre quadrature rule for finite-part integrals
    Ioakimidis, N.I. (Univ of Patras)  Communications in Numerical Methods in Engineering, v 9, n 5, May, 1993, p 439-450, Compendex.
  7. Error estimates for Gauss-Laguerre and Gauss-Hermite quadrature formulas.
    Mastroianni, G.; Monegato, G.
    Approximation and computation (West Lafayette, IN, 1993), 421--434, Internat. Ser. Numer. Math., 119, Birkhäuser Boston, Boston, MA, 1994, MathSciNet.      
  8. Evaluation of Fourier transforms by Gauss-Laguerre quadratures.
    Sagar, Robin P.; Schmider, Hartmut; Smith, Vedene H., Jr.
    J. Phys. A 25 (1992), no. 1, 189--195, MathSciNet.      
  9. Abscissae and weights for the Gauss-Laguerre quadrature formula.
    Takemasa, Tadashi
    Comput. Phys. Comm. 52 (1988), no. 1, 133--140, MathSciNet.  
  10. V-optimal formulas of quadrature with weight function of the Laguerre type.
    Acu, D.
    Proceedings of the Second Symposium of Mathematics and its Applications (Timisoara, 1987), 51--54, Res. Centre, Acad. SR Romania, Timisoara, 1988, MathSciNet.      
  11. Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series  
    Walter Gautschi; Gradimir V. Milovanovic  
    Mathematics of Computation, Vol. 44, No. 169. (Jan., 1985), pp. 177-190, Jstor.
  12. Addition of points to Gauss-Laguerre quadrature formulas.
    Kahaner, D. K.; Waldvogel, J.; Fullerton, L. W.
    SIAM J. Sci. Statist. Comput. 5 (1984), no. 1, 42--55, MathSciNet.      
  13. Comment on: "Numerical evaluation of principal value integrals by Gauss-Laguerre quadrature" [AIAA J. 21 (1983), no 1, 149--151] by H. Endo. With a reply by Endo.
    Squire, William
    AIAA J. 21 (1983), no. 11, 1607, MathSciNet.  
  14. Numerical Evaluation Of Principal Value Integral By Gauss-Laguerre Quadrature.
    Endo, Hideichi   
    AIAA Journal, v 21, n 1, Jan, 1983, p 149-151, Compendex.
  15. Spreading Resistance Correction Formula More Suited For The Gauss-Laguerre Quadrature.
    Vandervorst, W. B.; Maes, H. E.  
    Solid-State Electronics, v 24, n 9, Sep, 1981, p 851-856, Compendex.  
  16. Tables for the Gaussian Computation of the integral of  x^a exp(-x) f(x)  for Values of a Varying Continuously Between -1 and +1  
    P. Lambin; J. P. Vigneron  
    Mathematics of Computation, Vol. 33, No. 146. (Apr., 1979), pp. 805-811.
  17. Nonexistence of extended Gauss-Laguerre and Gauss-Hermite quadrature rules with positive weights.
    Kahaner, D. K.; Monegato, G.
    Z. Angew. Math. Phys. 29 (1978), no. 6, 983--986, MathSciNet.      
  18. Integration Of Planck's Equation By The Laguerre-Gauss Quadrature Method.
    Johnson, R. Barry; Branstetter, Elmer E.  
    Journal of the Optical Society of America, v 64, n 11, Nov, 1974, p 1445-1449, Compendex.
  19. Estimates of Upper Bounds for Quadrature Errors  
    J. D. Donaldson  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 1. (Mar., 1973), pp. 13-22, Jstor.
  20. Peano Error Estimates for Gauss-Laguerre Quadrature Formulas  
    A. H. Stroud; Kwan-Wei Chen  
    SIAM Journal on Numerical Analysis, Vol. 9, No. 2. (Jun., 1972), pp. 333-340, Jstor.  
  21. Abscissas, Coefficients, and Error Term for the Generalized Gauss-Laguerre Quadrature Formula Using the Zero Ordinate  
    C. R. Cassity  
    Mathematics of Computation, Vol. 19, No. 90. (Apr., 1965), pp. 287-296, Jstor.  
  22. The integration of bounded functions with a Laguerre weight. (Russian)  
    Pal'cev, A. A.; Skoblja, N. S.
    VesciAkad. Navuk BSSR Ser. Fiz.-Mat. Navuk  1965  1965 no. 3, 15--23, MathSciNet.      
  23. Tables for the Evaluation of the integral of  x^b exp(-x) f(x)  by Gauss-Laguerre Quadrature  
    P. Concus; D. Cassatt; G. Jaehnig; E. Melby  
    Mathematics of Computation, Vol. 17, No. 83. (Jul., 1963), pp. 245-256, Jstor.
  24. The Non-Existence of Certain Laguerre-Chebyshev Quadrature Formulas  
    F. D. Burgoyne  
    Mathematics of Computation, Vol. 17, No. 82. (Apr., 1963), pp. 196-197, Jstor.
  25. Application of generalized Gauss-Laguerre quadrature to boundary-layer problems.
    Squire, William
    J. Aero/Space Sci. 26 1959 540--541, MathSciNet.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004