@techreport{NA-08/16,
  abstract = "By exploiting conformal maps to vertically slit regions in the complex plane, a recently developed rational spectral method [Tee and Trefethen, 2006] is able to solve PDEs with interior layer-like behaviour using significantly fewer collocation points than traditional spectral methods. The conformal maps are chosen to 'enlarge the region of analyticity' in the solution: an idea which can be extended to other numerical methods based upon global polynomial interpolation. Here we show how such maps can be rapidly computed in both periodic and nonperiodic geometries, and apply them to some challenging differential equations.",
  author = "Nicholas Hale and T. Wynn Tee",
  institution = "Oxford University Computing Laboratory",
  month = "October",
  number = "NA-08/16",
  title = "Conformal Maps to Multiply-Slit Domains and Applications",
  year = "2008",
}


    
      @article{multiple_slit,
  author = "Nicholas Hale and T. Wynn Tee",
  journal = "SIAM Journal on Scientific Computing",
  note = "Submitted Oct 2008",
  title = "Conformal Maps to Multiply-Slit Domains and Applications",
  url = "http://web2.comlab.ox.ac.uk/oucl/publications/natr/NA-08-16.html",
  year = "2008",
}


    
      @article{N^3,
  author = "Nicholas Hale, Nicholas J. Higham and Lloyd N. Trefethen",
  doi = "10.1137/070700607",
  journal = "SIAM Journal on Numerical Analysis",
  mrnumber = "5",
  pages = "2505--2523",
  title = "Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals",
  volume = "46",
  year = "2008",
}


    
      @article{NewQuads,
  author = "Nicholas Hale and Lloyd N. Trefethen",
  doi = "10.1137/07068607X",
  journal = "SIAM Journal on Numerical Analysis",
  mrnumber = "2",
  pages = "930--948",
  title = "New Quadrature Methods From Conformal Maps",
  volume = "46",
  year = "2008",
}


    
      Warning - the bibtex entry below may be invalid: 
Missing 'school' field 
@mastersthesis{bvp6cthesis,
  author = "Nicholas Hale",
  institution = "Imperial College London",
  title = "A Sixth-Order Extension to the MATLAB bvp4c Software of J. Kierzenka and L. Shampine.",
  year = "2006",
}