Programmbibliotheken, math. Software

Guide to Available Mathematical Software

Mathematical Software Cross Index

Individual libraries


ADIFOR              automatic differentiation of Fortran codes
ALFPACK             Legendre functions of first kind
ARPACK              large scale eigenvalue problems
BLAS                basic linear algebra subprograms
CERNLIB             CERN Program Library
CMLIB               NIST core math library
DAEPAK              differential algebraic equations
DASPK*              solution of systems of alg./diff. eqns
                    (BDF/Krylov method, CM/F90/MPI)
EDA                 exploratory data analysis
EISPACK             eigenvalues and eigenvectors
FISHPAK             FFT, separable elliptic pdes
FLIB
   CHARPAK          character/string manipulation
   GEOMPAK          geometrical transformations
   RANPAK           random number generation
   TIMPAK           system date manipulation
GSL                 The GNU Scientific Library
GSLIB               GSLIB: Geostatistical Software Library and User's Guide"
                    by C.V. Deutsch and A.G. Journel
                    Oxford Univ. Press, New York, 1992
Harwell-Boeing      sparse matrices (also Matrix Market)
HPFlibrary          HPF library in F90
HSL                 Harwell Subroutine Library
INTLIB              interval arithmetic
IMSL                Visual Numerics, Inc.
ITPACK              sparse matrices, iterative methods
LAIPE               parallel direct solvers (linear equations)
LANCELOT            large-scale optimization problems
LAPACK              linear algebra on shared memory machines
LINALG              some nonstandard solvers for linear algebra
LINPACK             linear algebra
MPFUN               a portable multiprecision package
MINPACK             nonlinear problems
MINPACK-2           nonlinear problems
MINUIT              nonlinear problems
Mtask               parallel programming language (Windows NT/95)
MUDPACK             multigrid, linear elliptic PDEs
NCARM               NCAR's local math libraries
Numerical Methods   FORTRAN Programs, software supplement for
                    Numerical Methods for Mathematics, Science & Eng.
                    by John Mathews
Numerical Recipes   also ftp and gopher (So is it buggy or not?)
ODEPACK             LSODE
ODEs                stiff/nonstiff, explicit/implicit methods
ODE software        of J. Cash
PIM                 Parallel Iterative Solvers
RANLIB              random number generation (C, FORTRAN)
ScaLAPACK           MIMD version of LAPACK
SCILIB              a portable FORTRAN emulation of CRAY SCILIB
SLATEC              common mathematical library
SLEIGN2             Sturm-Liouville problems
SPARSKIT            sparse matrices
SPBLAS              NIST Sparse BLAS
SPHEREPACK          spherical harmonics
SPECFUN             special functions
STARPAC             statistical data analysis
TENSOR              nonlinear problems (tensor methods)
TLCPACK             regridding (1-4D orthogonal grids)
Templates           iterative solution of linear systems (html book)
TOMS                algorithms from Comm. of the ACM
UMFPACK             sparse linear problems with iterative refinement

Libraries for Fortran 77/90/95

NAG:
Lapack90
SMLIB for doing sparse matrix computations
DSSI Performance Plus Library: LAPACK, BLAS[123], FFTPACK, VFFTPACK, LINPACK (for NT, Linux)
SunSoft Performance Library
Intel Performance Library frei, z.T. speziell für Digital Visual Fortran
- Signal Processing Library
- Recognition Primitives Library
- Image Processing Library
- JPEG Library
- Math Kernel Library (BLAS, LAPACK, etc.)