NR alternatives


fortran_fan
01-16-2004, 07:38 PM
Some alternatives and complements to Numerical Recipes are

"Numerical Methods for Scientists and Engineers"
by H. M. Antia
Birhauser (2002)
http://www.birkhauser.com/detail.tpl?cart=1074271936836359&isbn=3764367156
http://www.hindbook.com/own/antia.htm
The book comes with CD-ROM with Fortran 77 and C code.

"Numerical Algorithms with Fortran" or
"Numerical Algorithms with C"
by Gisela Engeln-Mullges and Frank Uhlig
Springer (1996)

GNU Scientific Library Manual, 2nd ed.
edited by Brian Gough (2002)
http://www.network-theory.co.uk/gsl/manual/
http://www.gnu.org/software/gsl/gsl.html
The GSL is written in C.

Numerical Methods of Statistics
by John F. Monahan
Cambridge Univ Press (2001)
http://www4.stat.ncsu.edu/~monahan/aug00/toc.htm

Atlas for Computing Mathematical Functions: An Illustrated Guidebook for Practitioners With Programs in Fortran 90 and Mathematica
by William J. Thompson
Wiley (1997)

A Numerical Library in C for Scientists and Engineers
by H. T. Lau
CRC Press (1994)

C Mathematical Function Handbook
by Louis Baker
Mc-Graw Hill (1992)

web sites:

Netlib
www.netlib.org

Fortran Software of Alan Miller
http://www.users.bigpond.net.au/amiller/

fortran_fan
01-19-2004, 02:22 PM
John Burkhardt has written and translated a lot of numerical software in Fortran 90, C++, and Matlab.
http://www.csit.fsu.edu/~burkardt/

The book "Compuation of Special Functions" by Zhang and Jin
has a comprehensive Fortran 77 library.
http://iris-lee3.ece.uiuc.edu/~jjin/specfunc.html

Some good Fortran sites, with links to numerical software, are
http://www.fortranlib.com and http://www.fortran.com .

fortran_fan
02-09-2004, 10:54 AM
A comprehensive numerical library, with Fortran 77 and C90 versions, can be purchased from mathalacarte.com -- see http://mathalacarte.com/c/math77_head.html for a list of the library contents.

fortran_fan
03-24-2004, 09:46 AM
There is a comprehensive list of Fortran code, mostly in the public domain, at
http://www.dmoz.org/Computers/Programming/Languages/Fortran/Source_Code/ . Categories also covered by Numerical Recipes include

Linear Algebra
Optimization
Ordinary Differential Equations
Partial Differential Equations
Statistics and Econometrics

zhangyuancau
10-05-2004, 09:10 PM
Numerical Analysis
by Richard L. Burden, J. Douglas Faires
http://www.amazon.com/exec/obidos/ASIN/0534382169/qid=1097028228/sr=2-1/ref=pd_ka_2_1/103-8534808-3719824

In my first year of graduate life, I implemented many algorithms
on this book, and made them work fairly well.

The pseudo code in the book is very clear while the proof of theorem and algorithm are easily to be understood.

To learn from the book is an enjoyment to me.
Frankly speaking, it took me into the gate of Numerical Analysis.

sangrock
01-30-2006, 05:52 AM
I have ebooks of some of the numerical books....
is it allowed to post the links?
and DOES anyone want them?

carl roberts
07-21-2006, 05:24 PM
An excellent "text" book for Numerical Methods along with extremely detailed instructions for down loading f95 source code and the g95 complier is:

"Numerical Methods for Engineers" by D. Griffiths et al
ISBN 1-58488-401-0 @ Amazon.com approx $60

I just followed the detailed "readme"s and everything I tried worked ! I'm now trying to understand what I'm doing with the compiler.

DavidB
01-27-2008, 08:35 PM
I agree with the OP's first post recommending the NETLIB website; it is a huge repository of excellent numerical source code. However, it is not very user-friendly; unless you know what you are looking for, it doesn't help you. Even the more advanced side of the site, LAPACK, has a pretty bad search function, so unless you use their exact terminology when doing a search, you turn up nothing.

Regarding books, I have come across many that try to combine mathematics and computer programming and make a mess of both. However, one of the best books in my opinion is "Numerical Methods and Software" by David Kahaner, Cleve Moler, and Stephen Nash. It may no longer be in print, but I think used copies may be available (for example, from Amazon).