New Quadratic Integration

05312018, 02:27 AM
Post: #5




RE: New Quadratic Integration
Two questions come to mind. First, what is the error expansion (perhaps by way of a Taylor series), and second, how much doe the method cost. Could the extra cost be used to move to a higher (or extrapolated like Richardson's method) integration method.
Generally, three point rules like Simpson's are just as good (in order of magnitude) as the one with one more point (Bode's rule in this group.) Thus, another functional evaluation may not be that valuable if used in a simple integration formula. Another problem is in round off. At low degree NewtonCotes formulas, no problems arise but after 8 or so points, the coefficients change sign and get really big. 

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Messages In This Thread 
New Quadratic Integration  Namir  05302018, 01:39 PM
RE: New Quadratic Integration  Dieter  05302018, 05:53 PM
RE: New Quadratic Integration  Namir  05302018, 08:17 PM
RE: New Quadratic Integration  Dieter  05302018, 09:24 PM
RE: New Quadratic Integration  ttw  05312018 02:27 AM
RE: New Quadratic Integration  Namir  05312018, 03:46 AM
RE: New Quadratic Integration  Namir  05312018, 03:51 AM
RE: New Quadratic Integration  ttw  05312018, 03:56 AM

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