Elliptic integrals

11032017, 03:41 PM
(This post was last modified: 11032017 03:48 PM by salvomic.)
Post: #4




RE: Elliptic integrals
(11032017 01:54 PM)AlexFekken Wrote: In the first pair of calculations you are integrating over a singularity at the end of the integration internval when you use the nontrig defiinition (i.e. at x=t=1). The trig version does not have that singularity. So I suspect that the integration algorithm gives you a less accurate result because of that singularity, i.e. it is not so good at guessing the limit of the improper Riemann integral. thank you for the explaining, Alex. Yes, I left the first pair in non trig definition for studying purpose, as they are well know in this form, however you are right: so there is a singularity to avoid (and in effect the Prime gives also a message first to calculate). Surely the code could be stronger, but I'd not want to pass at trigform for the 1st pair, for now... Salvo ∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C  DM42, DM41X  WP34s Prime Soft. Lib 

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Messages In This Thread 
Elliptic integrals  salvomic  11012017, 10:00 AM
RE: Elliptic integrals  salvomic  11022017, 05:42 PM
RE: Elliptic integrals  AlexFekken  11032017, 01:54 PM
RE: Elliptic integrals  salvomic  11032017 03:41 PM
RE: Elliptic integrals  Eddie W. Shore  11072017, 12:51 PM
RE: Elliptic integrals  salvomic  11072017, 01:30 PM

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