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

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By Walter Gautschi

Purdue University

Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions

Version 1.0 - published on 23 Apr 2014 doi:10.4231/R72R3PMB - cite this Archived on 25 Oct 2016

Licensed under CC0 1.0 Universal

Description

By means of the Matlab symbolic/variable-precision facilities, routines are developed that generate an arbitrary number of recurrence coefficients to any given precision for polynomials orthogonal with respect to weight functions of Laguerre and Jacobi type containing logarithmic factors. The results are applied to Gaussian quadrature of integrals involving weight functions of the type mentioned.

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Notes

This dataset contains 12 Matlab codes and files:

  • momlaglog.m
  • mmomlaglog.m
  • schebyshev.m
  • sr_laguerrelog0.m
  • sr_laguerrelog1.m
  • momjaclog.m
  • mmomjaclog.m
  • sr_jacobilog0.m
  • sr_jacobilog1.m
  • GLExample.m
  • GJExample1.m
  • GJExample2.m

For more details see "Gauss quadrature routines for two classes of logarithmic weight functions", Numerical Algorithms, 2010, Volume 55, Issue 2-3, pp 265-277. doi: 10.1007/s11075-010-9366-0.

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