HP35s and numerical differentiation
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10-05-2014, 09:39 PM
Post: #4
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RE: HP35s and numerical differentiation
(10-05-2014 04:43 PM)Eddie W. Shore Wrote: \[\frac{f(x-2h)-8f(x-h)+8f(x+h)-f(x+2h)}{12h}\] This expression can be transformed into: \[\frac{4\frac{f(x+h)-f(x-h)}{2\cdot h}-\frac{f(x+2h)-f(x-2h)}{2\cdot 2h}}{4-1}\] Now we can see that this is the 1st step of the Richardson extrapolation for \(\frac{f(x+h)-f(x-h)}{2\cdot h}\): This can be extended similar to Romberg's method. Cheers Thomas |
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Messages In This Thread |
HP35s and numerical differentiation - mcjtom - 10-05-2014, 10:58 AM
RE: HP35s and numerical differentiation - Dieter - 10-05-2014, 11:47 AM
RE: HP35s and numerical differentiation - Eddie W. Shore - 10-05-2014, 04:43 PM
RE: HP35s and numerical differentiation - Thomas Klemm - 10-05-2014 09:39 PM
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