HP Forum Archive 10

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Solve/Integrate Algorithms Message #1 Posted by Patrick on 25 Feb 2003, 1:57 a.m. Back in the days that I used to devour everything to do with HP calculators, I remember one of the HP Notes issues which contained a summary explanation of how the Solve and Integrate algorithms worked. If I remember correctly, they were (justifiably) proud of the Integrate feature wherein the function could be undefined at the endpoints of integration. I'm wondering now, seeing a number of emulators available, whether these algorithms have ever been published in a more detailed form? If an emulator uses a ROM, then I guess there's no coding needed. But if it is a non-ROM emulator, then what would the author do to emulate these functions?

Re: Solve/Integrate Algorithms Message #2 Posted by Mike (Stgt) on 25 Feb 2003, 6:03 a.m., in response to message #1 by Patrick In the PPC-ROM manual is a good description of the Romberg integration. AFAIK there is a PDF/scann of the manual out there somewhere. Hope this helps Ciao.....Mike

Re: Solve/Integrate Algorithms Message #3 Posted by Ex-PPC member on 25 Feb 2003, 9:32 a.m., in response to message #1 by Patrick There are several sources for the details of the algorithm: - the HP-34C Owner's Handbook discusses it at lenght, giving a lot of useful information - the HP-15C Advanced Functions manual also discusses it very thoroughly - the HP-71B Math ROM manual, ditto and for the most comprehensive, detailed exposition, look at this article, written by the very creator of the algorithm: "Handheld Calculator Evaluates Integrals" by William M. Kahan Hewlett-Packard Journal, August 1980 All those manuals and article are available in the CD set you can obtain from this Museum of HP Calculators, follow this link: MoHP CDs

More precisely ... Message #4 Posted by Ex-PPC on 25 Feb 2003, 9:35 a.m., in response to message #3 by Ex-PPC member The exact reference for the article is: HP Journal, August 1980 Vol. 31 No. 8 HP-34C pages 23-32 Handheld Calculator Evaluates Integrals - The HP-34C is the first handheld calculator to have a key that performs numerical integration almost automatically. It may change your attitude towards what used to be regarded as a dreary tedious task. by William M. Kahan reference taken from Craig Finseth's site

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