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 $g(|f(x)|)$
    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