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Re: QSIMP function [message #85856 is a reply to message #85832]

Fri, 13 September 2013 22:44

Craig Markwardt
Messages: 1869
Registered: November 1996

Senior Member

On Thursday, September 12, 2013 1:05:05 PM UTC-4, wlandsman wrote:
> One suggestion for improved accuracy is to interpolate your function at the midpoints of all your tabulated X values. You can use one of the options (e.g. spline,least-squares quadratic) in the INTERPOL() function without needing a loop. Then redo your trapezoidal integration routines but using twice as many points, then rebin your final answer by a factor of two.

Wayne, Maria asked me about this privately. Does interpolation really improve the accuracy? My first impression would be that it might help, or it might hurt, depending on how well the interpolation routine chosen reflects the underlying nature of the curve being sampled. I don't have any good intuition about how well this works in practice.

Thanks,
Craig

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[Message index]

		QSIMP function By: fd_luni on Thu, 12 September 2013 06:31
		Re: QSIMP function By: wlandsman on Thu, 12 September 2013 07:56
		Re: QSIMP function By: fd_luni on Thu, 12 September 2013 08:40
		Re: QSIMP function By: wlandsman on Thu, 12 September 2013 08:49
		Re: QSIMP function By: fd_luni on Thu, 12 September 2013 08:58
		Re: QSIMP function By: wlandsman on Thu, 12 September 2013 10:05
		Re: QSIMP function By: fd_luni on Thu, 12 September 2013 11:01
		Re: QSIMP function By: Craig Markwardt on Fri, 13 September 2013 22:44
		Re: QSIMP function By: wlandsman on Sat, 14 September 2013 19:58

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