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  Numerical Algorithms Group (NAG) http://www.nag.co.uk/
Libraries, compilers, tools, information, software for statistics, visualization, symbolic calculation, simulation.
  BLAS (Basic Linear Algebra Subprograms) http://www.netlib.org/blas/
A high quality "building block" routines for performing basic vector and matrix operations. Level 1 BLAS do vector-vector operations, Level 2 BLAS do matrix-vector operations, and Level 3 BLAS do matrix-matrix operations.
  Intel Math Kernel Library http://www.intel.com/software/products/mkl/
Set of optimized, thread-safe mathematical functions for engineering, scientific and financial applications requiring high performance. The functional areas of the library include the BLAS and LAPACK Libraries, Discrete Fourier Transforms, Vector Math Library, Vector Statistical Library, random number generators and the PARDISO Direct Sparse Solver.
  http://www.vni.com/products/imsl/fortran/overview.html http://www.vni.com/products/imsl/fortran/overview.html
A mathematical and statistical library produced by Visual Numerics.
  LAPACK95: Fortran 95 Interface to LAPACK http://www.netlib.org/lapack95/
A collection of linear algebra routines with an improved interface which exploits Fortran 95 features such as assumed-shape arrays, optional arguments, and generic interfaces. Includes source code, documentation, and related papers.
  http://www.netlib.org/slatec/ http://www.netlib.org/slatec/
A software library containing over 1400 general purpose mathematical and statistical routines written in Fortran 77.
  NCAR's Mathematical and Statistical Libraries http://www.cisl.ucar.edu/softlib/mathlib.html
Source code and documentation for libraries in the areas of geophysical science, Fast Fourier Transforms, separable elliptic PDEs, interpolation, Legendre polynomials, spherical harmonics, general mathematics, eigensystem solvers, linear equation solvers, nonlinear equation solvers, ordinary differential equations, special functions, and statistics.
  Math a la Carte http://mathalacarte.com
Collections of mathematical software in Fortan and C. Software is free for some uses and can be purchased for others. Much of the software was developed at the Jet Propulsion Laboratory.
  Transient Energy System Simulation Tool http://www.trnsys.com
Fortran program to simulate the transient performance of thermal energy systems.
  http://www.ncarg.ucar.edu/ngmath/ http://www.ncarg.ucar.edu/ngmath/
Collection of interpolators and approximators for one-dimensional, two-dimensional, and three-dimensional data, callable from Fortran and C.
  http://www.xeffort.com/ http://www.xeffort.com/
Free, open-source library for building GUI applications in all flavors of Visual Fortran. Site has other Fortran resources and samples.
  http://uszla.me.uk/space/software/FoX/ http://uszla.me.uk/space/software/FoX/
Fortran library to facilitate XML input and output.
  http://www.netlib.org/odepack/ http://www.netlib.org/odepack/
A collection of Fortran solvers for the initial value problem for ordinary differential equation systems.
  http://www.icm.tu-bs.de/NICONET/ http://www.icm.tu-bs.de/NICONET/
Subroutine library providing Fortran 77 implementations of numerical algorithms for computations in systems and control theory. Based on numerical linear algebra routines from BLAS and LAPACK libraries, it provides methods for the design and analysis of control systems. [Freeware for scientific (non-commercial) use]
  http://www.cse.clrc.ac.uk/nag/hsl/contents.shtml http://www.cse.clrc.ac.uk/nag/hsl/contents.shtml
Codes for large-scale scientific computation.
  http://www.quandt.com/req.html http://www.quandt.com/req.html
Fortran package by Richard Quandt for numerical optimization and numerous other statistical and utility routines. It is available for a number of platforms, such as IBM mainframes, Vax computers, CRAY supercomputers, IBM-compatible PCs, and Sun, DEC, and RS/6000 workstations.
  http://www.cisl.ucar.edu/softlib/FISHPAK.html http://www.cisl.ucar.edu/softlib/FISHPAK.html
A library for the direct solution of finite difference approximations to two-dimensional Helmholz equations. Includes documentation and source code.
  http://yoric.mit.edu/daepack/daepack.html http://yoric.mit.edu/daepack/daepack.html
Library for combined symbolic/numeric analysis of Fortran models, including sparsity pattern generation, discontinuity locking, and automatic differentiation.
  http://www.netlib.org/itpack/ http://www.netlib.org/itpack/
A packages for solving large sparse linear systems by iterative methods.
  http://www.netlib.org/scilib/ http://www.netlib.org/scilib/
A portable FORTRAN emulation of CRAY SCILIB.
  http://www.netlib.org/contin/manpak/ http://www.netlib.org/contin/manpak/
A subroutines for solving some types of algebraically explicit differential algebraic equations.
  http://www.cisl.ucar.edu/softlib/MINPACK.html http://www.cisl.ucar.edu/softlib/MINPACK.html
A free, portable library for solving nonlinear systems of equations and nonlinear least squares problems.
  http://sepwww.stanford.edu/doku.php?id=sep:software:seplib http://sepwww.stanford.edu/doku.php?id=sep:software:seplib
Stanford Exploration Project library, containing basic seismic data processing routines such as phase shift migration and velocity stacking. Includes documentation, source code, and binary packages for Mac OS X and Cygwin.
  http://www.canaimasoft.com/f90sql/ http://www.canaimasoft.com/f90sql/
Enables Fortran programs to read or write data directly from or into any format that has a Windows Open Database Connectivity (ODBC) driver.
  Boeing Mathematics and Information Software http://www.boeing.com/phantom/math_infosw/
Algorithms for solving large linear systems, optimal control problems, and other topics.
  FGSL: A Fortran interface to the GNU Scientific Library http://www.lrz-muenchen.de/services/software/mathematik/gsl/fortran/index.html
Portable, object-based Fortran interface to the GNU scientific library, a collection of numerical routines for scientific computing. The package is licensed under the GPL.
  Microglyph Systems http://www.microglyph.com/
SciComm serial communications library, SciPlot scientific plotting graphics library, SciSnet sockets network communication library. Compatible with Fortran and C compilers.
  http://www.indowsway.com/ http://www.indowsway.com/
Library for writing Windows applications in Fortran.
  Winteracter http://www.winteracter.com/iss.htm
Multi-platform user interface and graphics subroutine library for Fortran 77/9x developers.
  FLIBS - A collection of Fortran modules http://flibs.sourceforge.net/
Fortran modules by Arjen Markus to interface with C libraries, manipulate strings, write CSV files, manipulate file and directory names, implement abstract data types and structures, do automatic differentiation, and perform other tasks.
  GinoMenu http://www.gino-graphics.com/products/menu.htm
Interactive GUI builder and Fortran subroutine toolkit for developing GUI applications under Windows.
  http://sourceforge.net/projects/pilib http://sourceforge.net/projects/pilib
Platform-independent library under development for Fortran 90/95 to create GUIs, do file I/O.
  AMD Core Math Library (ACML) http://www.amd.com/us-en/Processors/DevelopWithAMD/0,,30_2252_2282,00.html
Download the library which incorporates BLAS, LAPACK and FFT routines.
  http://lib.stat.cmu.edu/cmlib/index/index http://lib.stat.cmu.edu/cmlib/index/index
A Fortran 77 library.
  PNNL Fortran Library (FLIB) http://rh.healthsciences.purdue.edu/flib/
General-purpose Fortran 90 routines primarily for text processing such as parsing, accessing the command line, and manipulating dates and times. Also includes some numerical routines for tasks such as random number generation. Includes downloads, documentation, and utility programs.
  A Fortran 90 Numerical Library (AFNL) http://sourceforge.net/projects/afnl/
Set of MODULES by Alberto Ramos containing definitions of Fourier series and polynomials and able to perform linear (multi-)dimensional fittings, compute integrals, sort data, compute roots of functions, and perform other numerical tasks.
  http://www.shocksolution.com/math_tools/odepack/ http://www.shocksolution.com/math_tools/odepack/
A repackaged version of ODEPACK with usability improvements such as GNU makefiles, examples, and HTML documentation. Numerical code is unchanged.
  DSP Library http://www-ocean.tamu.edu/~baum/dsp.tar.gz
Digital signal processing programs written in Fortran. It includes subroutines for FIR and IIR filter design, FFT routines, and various other programs for signal processing.
  http://www.canaimasoft.com/f90vb/Features.htm http://www.canaimasoft.com/f90vb/Features.htm
Enables Fortran programs to access COM/ActiveX objects and call Visual Basic DLLs. Enables creation of Fortran DLLs that handle intrinsic Visual Basic data types. Includes TLView, a Type Library browser.
  Ezconsole http://www.fortranlib.com/ezann.html
Set of simple procedures by Gary Scott for interfacing with the console window on Windows from Fortran.
  http://www.zib.de/Numerik/numsoft/CodeLib/index.en.html http://www.zib.de/Numerik/numsoft/CodeLib/index.en.html
Fortran 77 codes for large systems of linear equations, systems of nonlinear equations, nonlinear least squares, ordinary differential equations, and quadrature.

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