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  1. INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature

    2016-10-05 15:05:38 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7RN35T0

    INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature

    https://purr.purdue.edu/publications/1653

  2. SOPQ: Symbolic OPQ

    2015-12-30 00:00:00 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7ZG6Q6T

    This includes symbolic versions of some of the more important OPQ routines.

    https://purr.purdue.edu/publications/1560

  3. POEXPINT: Polynomials orthogonal with respect to the exponential integral

    2014-04-28 14:27:31 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7X34VD9

    Matlab scripts for computing orthogonal polynomials whose weight function involves an exponential integral

    https://purr.purdue.edu/publications/1587

  4. CHA: Matlab programs for computing a challenging integral

    2014-04-23 08:31:08 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7QJ7F7V

    Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.

    https://purr.purdue.edu/publications/1563

  5. MCD: Matlab programs for computing the Macdonald function for complex orders

    2014-04-23 08:27:25 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7B8562S

    A collection of FORTRAN and Matlab codes and their outputs to compute the Macdonald function for complex orders by numerical quadrature.

    https://purr.purdue.edu/publications/1561

  6. HPGT: High-precision Gauss-Turan quadrature rules

    2014-04-23 08:28:16 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R71V5BW8

    Matlab routines that calculate high-precision Gauss-Turan quadrature rules

    https://purr.purdue.edu/publications/1580

  7. NEUTRAL: Neutralizing nearby singularities in numerical quadrature

    2014-04-23 08:27:11 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R75H7D6P

    Matlab routines for neutralizing nearby singularities in numerical quadrature

    https://purr.purdue.edu/publications/1579

  8. RMOP: Repeated modifications of orthogonal polynomials

    2014-04-23 08:25:49 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7F18WNB

    Matlab routines and data sets that compute repeated modifications of orthogonal polynomials

    https://purr.purdue.edu/publications/1577

  9. SRJAC: Sub-range Jacobi polynomials

    2014-04-23 08:24:06 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7JS9NCR

    Matlab routines for computing sub-range Jacobi polynomials within the sub interval of [-1, 1]

    https://purr.purdue.edu/publications/1576

  10. HOGGRL: High-order generalized Gauss-Radau and Gauss-Lobatto Formulae for Jacobi and Laguerre weight functions

    2014-04-23 08:28:33 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7G15XSQ

    Matlab source codes and files that compute the high-order Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions

    https://purr.purdue.edu/publications/1574

  11. OCVdM: Optimally conditioned Vandermonde matrices

    2014-04-23 08:26:19 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7TB14TB

    Matlab routines for computing optimally conditioned Vandermonde matrices

    https://purr.purdue.edu/publications/1573

  12. LAMBERTW: Matlab programs for evaluating the Lambert W-functions and some of their integrals

    2014-04-23 08:27:41 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7Z31WJP

    Matlab programs for evaluating the Lambert W-functions and some of their integrals

    https://purr.purdue.edu/publications/1572

  13. GQLOG: Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions

    2014-04-23 08:28:47 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R72R3PMB

    Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions

    https://purr.purdue.edu/publications/1571

  14. CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials

    2014-04-23 08:30:53 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7KS6PH4

    Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.

    https://purr.purdue.edu/publications/1570

  15. BIJ: Matlab programs for testing and extending Bernstein's Inequality for Jacobi polynomials

    2014-04-23 08:31:23 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7V985Z5

    Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness

    https://purr.purdue.edu/publications/1569

  16. OWF: Matlab programs for computing orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

    2014-04-23 08:26:04 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7NK3BZ7

    Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

    https://purr.purdue.edu/publications/1562

  17. NUMINT: Numerical Integration over the square

    2014-04-23 08:26:33 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7PK0D31

    Matlab routines for computing numerical integration over the square

    https://purr.purdue.edu/publications/1575

  18. 32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,-1/2,32)

    2014-04-22 11:31:45 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7SF2T39

    32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^{1/2}(1-x)^{-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,-1/2,32)

    https://purr.purdue.edu/publications/1498

  19. 32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{-1/2}(1-x)^{-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,-1/2,32)

    2014-04-22 11:31:59 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R70Z715M

    32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{-1/2}(1-x)^{-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,-1/2,32)

    https://purr.purdue.edu/publications/1491

  20. 32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)

    2014-04-22 11:31:31 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R74Q7RWJ

    32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)

    https://purr.purdue.edu/publications/1500

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