Seems the bottom half of the cover had green/grey or grey/white "streaks". 5" or 6" x 7" to 8"), had white, green & grey on the cover. It was a paperback, about 3/8-inch thick, smaller size (i.e. However, I recall FORTRAN being in the title. It seems the name was very similar to "Applied Numerical Methods" but had "with FORTRAN" or some other addition implying digital computation. The title you suggested & Carnahan, along with other authors rung a bell. Been thinking & thinking of the name of the book, Googling, not getting anywhere. Was irritating at the time, but turned out to be good preparation for real life problems. I also seem to recall that many (most it seems, but that may only be my memory) of the homework assignments were situations that resulted in these instabilities.
Fortran program for secant method numerical how to#
Good Fortran examples included, and also good coverage of how to deal with instabilities and boundary conditions. I'm surprised to see the copyright date is 1970, though I used it at Norwich Univ also about 1979. I used "Applied Numerical Analysis", Gerald, hardcover book has a distinctive red, white and blue cover. I thought that rang a bell, but not quite.
I just ran into him at JFK this past June 28 when we were both flying to Nice, France. Carnahan was my professor in 1979 at the University of Michigan. Was it "Applied Numerical Methods" by Carnahan, Luther, and Wilkes? This book has a lot of good FORTRAN code. The class covered Newton-Raphson, but for the life of me can't remember the book. The secant method was used in the 67 standard pack.ģ0-some years ago had a class called Numerical Techniques, we used FORTRAN. Newton's method is shown in the 19C & 55 Math application manuals. If I'm misreading the redistribution release for this article, please advise via PM. The program can also compute an improper integral. As an illustration, we give here a program for the HP-25. One such problem is that of numerical integration by Simpson's rule. There are, however, some exceptional problems that offer considerable difficulty in writing a short program to solve them within the limited memory. " A handheld programmable calculator with as few as fifty steps of memory and eight storage registers can be used to solve almost any problem one usually meets in elementary texts on calculus or numerical analysis. Which is why so many iterations are required.Ī Short Program for Simpson's or Gazdar's* Rule-Integration on Handheld Programmable Since the derivative is not exact, the algorithm continues with a very large value. In other words: starting with x=1 should throw an error due to division by zero. Dividing f(1) by such small values results in a first approximation that is waaaayyyy off: ~125 with h=0,002 resp. In our case f'(x) is approximated by a small value: h=0,002 yields f'=0,004. If f'(x) was calculated exactly the Newton method would cause a division by zero and the iteration would stop with an error. at that point the derivative f'(x) is zero. Interesting!Īt x=1 the function in the example has a local mininum, i.e. However with a guess of 1, yours converged faster, cutting the number of iterations from 25 to 18. Using the example equation given above, with guesses of 0 & -1, it reached the same result with the same number of iterations (5). (05-14-2016 07:49 PM)bshoring Wrote: Namir, I plugged your formula into the above program.
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