MEBDFI_95

MEBDFI_95 is a thread-safe fortran 95 library for solving stiff initial value problems with fully implicit systems of differential algebraic equations:

g(t,y,y')=0, with vector y=(y(1),y(2),y(3),.....,y(n)).

The code is based on MEBDFI, backward differentiation formulas (BDF) as modified (M) and extended (E) by Jeff Cash, and then modified some more by him to handle fully implicit equations (I). So the name can be parsed as M-E-BDF-I, a modified extended backward difference formula scheme for stiff fully implicit initial value problems.

References

J. R. Cash, Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations", Proc. Roy. Soc. London, Ser. A, vol 459, (2003) pp 797-815.

E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems, Springer 1996, Page 267.

Downloading and Installing

Copy the mebdfi_95.tar.gz file to where you want to have the mebdfi_95 directory.
Then, to unpack it, do this shell command:

tar -xzvf mebdfi_95.tar.gz

You should now have a new directory named 'mebdfi_95'.
In that you'll find a README file.
Follow the instructions for installation and testing.

Caveat Downloader

Finally, a warning: I converted this code to fortran95, but I don't claim to understand it, and I'm not prepared to help you debug your attempts to use it!

I'm happy to answer questions about getting it installed so that it can run the basic test case, but beyond that you're on your own.