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SUMMARY:Finite difference formulas and numerical contour integration in th
 e complex plane - Bengt Fornberg (University of Colorado Boulder)
DTSTART:20230725T150000Z
DTEND:20230725T160000Z
UID:TALK202789@talks.cam.ac.uk
DESCRIPTION:In many applications\, function values are available only at e
 quispaced grid points. In the case of analytic functions and grids in the 
 complex plane\, 2-D finite difference formulas become remarkably accurate 
 already for very small stencil sizes. Their use in place of analytic deriv
 atives in the Euler-Maclaurin formula results in highly effective computat
 ional methods for both contour integration and for numerical evaluation of
  fractional derivatives.
LOCATION:Seminar Room 1\, Newton Institute
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