# Dirk Laurie's research

dlaurie@na-net.ornl.gov

The PDF, DVI, PS and LJ files below are not copies of actual
electronic publications and must be considered to have the status
of preprints. The BibTeX information supplied was up-to-date at
the time the PDF file was uploaded, but may be obsolete by now.
I have included some items that have not been, and may never be,
published.
#### Classification by topic

##### Gaussian quadrature and orthogonal polynomials

Anti-Gaussian quadrature rules
Gauss-type quadrature formulas
Calculation of Kronrod formulas
Accurate recovery of recursion coefficients from Gaussian quadrature formulas
Initial values for the inverse Toeplitz eigenvalue problem
Questions related to Gaussian quadrature and two-term recursions
##### Other topics in numerical integration

Doubly-adaptive quadrature
Quadrature Rules Based on Partial Fraction Expansions
Periodizing transformations for numerical integration
Automatic quadrature of functions of the form $g(|f(x)|)$
Old and new ways of computing the gamma function Slides of a talk at ICNAAM 2005, Rhodos.
##### Nonlinear digital filters

The Digital Pulse Transform
Fast implementation of the Discrete Pulse Transform
##### One-off topics

Initial values for the inverse Toeplitz eigenvalue problem
Exact difference formulas for linear differential operators