Solve/Integrate Algorithms « Next Oldest | Next Newest »

 ▼ Patrick Senior Member Posts: 266 Threads: 32 Joined: Jan 1970 02-25-2003, 01:57 AM 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? ▼ Mike (Stgt) Posting Freak Posts: 858 Threads: 80 Joined: Feb 2009 02-25-2003, 06:03 AM 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 Ex-PPC member Member Posts: 142 Threads: 24 Joined: Jan 1970 02-25-2003, 09:32 AM 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: ▼ Ex-PPC Junior Member Posts: 2 Threads: 0 Joined: Jan 1970 02-25-2003, 09:35 AM 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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